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45020026240 = 275716361651
BaseRepresentation
bin101001111011011001…
…110001010110000000
311022012112010021220021
4221323121301112000
51214200111314430
632403143223224
73152431623550
oct517331612600
9138175107807
1045020026240
11181026a4062
128885147b14
1343261034a7
1422711a3160
15128759707a
hexa7b671580

45020026240 has 128 divisors (see below), whose sum is σ = 123757758720. Its totient is φ = 15340492800.

The previous prime is 45020026211. The next prime is 45020026283. The reversal of 45020026240 is 4262002054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699415 + ... + 761065.

It is an arithmetic number, because the mean of its divisors is an integer number (966857490).

Almost surely, 245020026240 is an apocalyptic number.

45020026240 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 45020026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61878879360).

45020026240 is an abundant number, since it is smaller than the sum of its proper divisors (78737732480).

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

45020026240 is a wasteful number, since it uses less digits than its factorization.

45020026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61840 (or 61828 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 45020026240 its reverse (4262002054), we get a palindrome (49282028294).

The spelling of 45020026240 in words is "forty-five billion, twenty million, twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 163 224 280 320 326 448 560 640 652 815 896 1120 1141 1304 1630 2240 2282 2608 3260 4480 4564 5216 5705 6520 9128 10432 11410 13040 18256 20864 22820 26080 36512 45640 52160 61651 73024 91280 104320 123302 146048 182560 246604 308255 365120 431557 493208 616510 730240 863114 986416 1233020 1726228 1972832 2157785 2466040 3452456 3945664 4315570 4932080 6904912 7891328 8631140 9864160 10049113 13809824 17262280 19728320 20098226 27619648 34524560 39456640 40196452 50245565 55239296 69049120 70343791 80392904 100491130 138098240 140687582 160785808 200982260 276196480 281375164 321571616 351718955 401964520 562750328 643143232 703437910 803929040 1125500656 1286286464 1406875820 1607858080 2251001312 2813751640 3215716160 4502002624 5627503280 6431432320 9004005248 11255006560 22510013120 45020026240