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45024111011440 = 24511177243415523
BaseRepresentation
bin10100011110010111111100…
…01001001010011001110000
312220102021002201011102111101
422033023332021022121300
521400133334404331230
6235431442511254144
712324612305032651
oct1217137611123160
9186367081142441
1045024111011440
1113389688987370
125071b8381a354
131c179a89558b2
14b19270117528
155312a905baca
hex28f2fe24a670

45024111011440 has 160 divisors (see below), whose sum is σ = 120932004070656. Its totient is φ = 15407156858880.

The previous prime is 45024111011437. The next prime is 45024111011443. The reversal of 45024111011440 is 4411011142054.

45024111011440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45024111011437) and next prime (45024111011443).

It is a junction number, because it is equal to n+sod(n) for n = 45024111011399 and 45024111011408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45024111011443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108147519 + ... + 108563041.

Almost surely, 245024111011440 is an apocalyptic number.

45024111011440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45024111011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60466002035328).

45024111011440 is an abundant number, since it is smaller than the sum of its proper divisors (75907893059216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45024111011440 is a wasteful number, since it uses less digits than its factorization.

45024111011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422807 (or 422801 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

Adding to 45024111011440 its reverse (4411011142054), we get a palindrome (49435122153494).

The spelling of 45024111011440 in words is "forty-five trillion, twenty-four billion, one hundred eleven million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7243 7480 14486 14960 28972 36215 57944 72430 79673 115888 123131 144860 159346 246262 289720 318692 398365 415523 492524 579440 615655 637384 796730 831046 985048 1231310 1274768 1354441 1593460 1662092 1970096 2077615 2462620 2708882 3186920 3324184 4155230 4570753 4925240 5417764 6373840 6648368 6772205 7063891 8310460 9141506 9850480 10835528 13544410 14127782 16620920 18283012 21671056 22853765 27088820 28255564 33241840 35319455 36566024 45707530 54177640 56511128 70638910 73132048 77702801 91415060 108355280 113022256 141277820 155405602 182830120 282555640 310811204 365660240 388514005 565111280 621622408 777028010 1243244816 1554056020 3009633089 3108112040 6019266178 6216224080 12038532356 15048165445 24077064712 30096330890 33105963979 48154129424 51163762513 60192661780 66211927958 102327525026 120385323560 132423855916 165529819895 204655050052 240770647120 255818812565 264847711832 331059639790 409310100104 511637625130 529695423664 562801387643 662119279580 818620200208 1023275250260 1125602775286 1324238559160 2046550500520 2251205550572 2648477118320 2814006938215 4093101001040 4502411101144 5628013876430 9004822202288 11256027752860 22512055505720 45024111011440