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45044961840 = 243456951383
BaseRepresentation
bin101001111100111000…
…111001001000110000
311022021021001011010000
4221330320321020300
51214223002234330
632405433510000
73153153600234
oct517470711060
9138237034100
1045044961840
111811578559a
128891572300
13432b324298
1422746145c4
151289870560
hexa7ce39230

45044961840 has 100 divisors (see below), whose sum is σ = 156447848304. Its totient is φ = 12011988096.

The previous prime is 45044961833. The next prime is 45044961847. The reversal of 45044961840 is 4816944054.

45044961840 is a `hidden beast` number, since 4 + 504 + 4 + 9 + 61 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45044961833) and next prime (45044961847).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45044961847) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3469212 + ... + 3482171.

Almost surely, 245044961840 is an apocalyptic number.

45044961840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45044961840 is an abundant number, since it is smaller than the sum of its proper divisors (111402886464).

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

45044961840 is a wasteful number, since it uses less digits than its factorization.

45044961840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951408 (or 6951393 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45044961840 in words is "forty-five billion, forty-four million, nine hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 6951383 13902766 20854149 27805532 34756915 41708298 55611064 62562447 69513830 83416596 104270745 111222128 125124894 139027660 166833192 187687341 208541490 250249788 278055320 312812235 333666384 375374682 417082980 500499576 556110640 563062023 625624470 750749364 834165960 938436705 1000999152 1126124046 1251248940 1501498728 1668331920 1876873410 2252248092 2502497880 2815310115 3002997456 3753746820 4504496184 5004995760 5630620230 7507493640 9008992368 11261240460 15014987280 22522480920 45044961840