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10140044026644 = 2234714930006167
BaseRepresentation
bin1001001110001110100110…
…1110001110001100010100
31022220101020002202220210000
42103203221232032030110
52312113302232323034
633322134422331300
72064410513052210
oct223435156161424
938811202686700
1010140044026644
11325a406559014
121179260289b30
13587281b93a8c
14270ad053b940
15128b7495e599
hex938e9b8e314

10140044026644 has 120 divisors (see below), whose sum is σ = 30498269155200. Its totient is φ = 2877711344064.

The previous prime is 10140044026627. The next prime is 10140044026657. The reversal of 10140044026644 is 44662044004101.

10140044026644 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 0 + 4 + 4 + 0 + 2 + 6 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10140044026599 and 10140044026608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14665152 + ... + 15341015.

It is an arithmetic number, because the mean of its divisors is an integer number (254152242960).

Almost surely, 210140044026644 is an apocalyptic number.

10140044026644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10140044026644 is an abundant number, since it is smaller than the sum of its proper divisors (20358225128556).

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

10140044026644 is a wasteful number, since it uses less digits than its factorization.

10140044026644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30006339 (or 30006328 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 10140044026644 in words is "ten trillion, one hundred forty billion, forty-four million, twenty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 149 162 189 252 298 324 378 447 567 596 756 894 1043 1134 1341 1788 2086 2268 2682 3129 4023 4172 5364 6258 8046 9387 12069 12516 16092 18774 24138 28161 37548 48276 56322 84483 112644 168966 337932 30006167 60012334 90018501 120024668 180037002 210043169 270055503 360074004 420086338 540111006 630129507 810166509 840172676 1080222012 1260259014 1620333018 1890388521 2430499527 2520518028 3240666036 3780777042 4470918883 4860999054 5671165563 7561554084 8941837766 9721998108 11342331126 13412756649 17013496689 17883675532 22684662252 26825513298 31296432181 34026993378 40238269947 53651026596 62592864362 68053986756 80476539894 93889296543 120714809841 125185728724 160953079788 187778593086 241429619682 281667889629 362144429523 375557186172 482859239364 563335779258 724288859046 845003668887 1126671558516 1448577718092 1690007337774 2535011006661 3380014675548 5070022013322 10140044026644