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100440424004032 = 2671163192775043
BaseRepresentation
bin10110110101100110011011…
…110010110011100111000000
3111011122000021211210001222001
4112311212123302303213000
5101131103442021112112
6553341405505353344
730104403224332360
oct2665463362634700
9434560254701861
10100440424004032
112a0045a9968072
12b32203a938854
134407650630ba8
141ab34b19d49a0
15b92a45005c57
hex5b599bcb39c0

100440424004032 has 56 divisors (see below), whose sum is σ = 227980393635456. Its totient is φ = 43008882970368.

The previous prime is 100440424004003. The next prime is 100440424004033. The reversal of 100440424004032 is 230400424044001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100440424004033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95866498 + ... + 96908545.

It is an arithmetic number, because the mean of its divisors is an integer number (4071078457776).

Almost surely, 2100440424004032 is an apocalyptic number.

It is an amenable number.

100440424004032 is an abundant number, since it is smaller than the sum of its proper divisors (127539969631424).

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

100440424004032 is a wasteful number, since it uses less digits than its factorization.

100440424004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192776225 (or 192776215 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 100440424004032 its reverse (230400424044001), we get a palindrome (330840848048033).

The spelling of 100440424004032 in words is "one hundred trillion, four hundred forty billion, four hundred twenty-four million, four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1163 2326 4652 8141 9304 16282 18608 32564 37216 65128 74432 130256 260512 521024 192775043 385550086 771100172 1349425301 1542200344 2698850602 3084400688 5397701204 6168801376 10795402408 12337602752 21590804816 43181609632 86363219264 224197375009 448394750018 896789500036 1569381625063 1793579000072 3138763250126 3587158000144 6277526500252 7174316000288 12555053000504 14348632000576 25110106001008 50220212002016 100440424004032