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10044122418 = 2331119889963
BaseRepresentation
bin10010101101010110…
…10010010100110010
3221220222210021201000
421112223102110302
5131032243404133
64340400222430
7503621426511
oct112653222462
927828707630
1010044122418
114294710920
121b4390aa16
13c40b98505
146b3d6a678
153dbbc6413
hex256ad2532

10044122418 has 64 divisors (see below), whose sum is σ = 25630963200. Its totient is φ = 2883476880.

The previous prime is 10044122329. The next prime is 10044122467. The reversal of 10044122418 is 81422144001.

10044122418 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 412 + 241 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10044122391 and 10044122400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433696 + ... + 456267.

It is an arithmetic number, because the mean of its divisors is an integer number (400483800).

Almost surely, 210044122418 is an apocalyptic number.

10044122418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10044122418 is an abundant number, since it is smaller than the sum of its proper divisors (15586840782).

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

10044122418 is a wasteful number, since it uses less digits than its factorization.

10044122418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890004 (or 889998 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 10044122418 its reverse (81422144001), we get a palindrome (91466266419).

The spelling of 10044122418 in words is "ten billion, forty-four million, one hundred twenty-two thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 11286 889963 1779926 2669889 5339778 8009667 9789593 16019334 16909297 19579186 24029001 29368779 33818594 48058002 50727891 58737558 88106337 101455782 152183673 176212674 186002267 264319011 304367346 372004534 456551019 528638022 558006801 913102038 1116013602 1674020403 3348040806 5022061209 10044122418