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1412103432432 = 2437112913174573
BaseRepresentation
bin10100100011000111111…
…011000110100011110000
311222222212220201212110010
4110203013323012203300
5141113441434314212
63000413353134520
7204010145063040
oct24430773064360
94888786655403
101412103432432
114a4962635210
121a98126ba440
13a3212314604
144c4bbc6d720
1526aeaa1203c
hex148c7ec68f0

1412103432432 has 160 divisors (see below), whose sum is σ = 4704903866880. Its totient is φ = 354132495360.

The previous prime is 1412103432427. The next prime is 1412103432433. The reversal of 1412103432432 is 2342343012141.

It is a super-2 number, since 2×14121034324322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1412103432432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412103432433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6480103 + ... + 6694470.

It is an arithmetic number, because the mean of its divisors is an integer number (29405649168).

Almost surely, 21412103432432 is an apocalyptic number.

1412103432432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1412103432432 is an abundant number, since it is smaller than the sum of its proper divisors (3292800434448).

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

1412103432432 is a wasteful number, since it uses less digits than its factorization.

1412103432432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13174631 (or 13174625 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1412103432432 its reverse (2342343012141), we get a palindrome (3754446444573).

The spelling of 1412103432432 in words is "one trillion, four hundred twelve billion, one hundred three million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 33 42 44 48 56 58 66 77 84 87 88 112 116 132 154 168 174 176 203 231 232 264 308 319 336 348 406 462 464 528 609 616 638 696 812 924 957 1218 1232 1276 1392 1624 1848 1914 2233 2436 2552 3248 3696 3828 4466 4872 5104 6699 7656 8932 9744 13398 15312 17864 26796 35728 53592 107184 13174573 26349146 39523719 52698292 79047438 92222011 105396584 144920303 158094876 184444022 210793168 276666033 289840606 316189752 368888044 382062617 434760909 553332066 579681212 632379504 737776088 764125234 869521818 1014442121 1106664132 1146187851 1159362424 1475552176 1528250468 1739043636 2028884242 2213328264 2292375702 2318724848 2674438319 3043326363 3056500936 3478087272 4057768484 4202688787 4426656528 4584751404 5348876638 6086652726 6113001872 6956174544 8023314957 8115536968 8405377574 9169502808 10697753276 12173305452 12608066361 16046629914 16231073936 16810755148 18339005616 21395506552 24346610904 25216132722 29418821509 32093259828 33621510296 42791013104 48693221808 50432265444 58837643018 64186519656 67243020592 88256464527 100864530888 117675286036 128373039312 176512929054 201729061776 235350572072 353025858108 470701144144 706051716216 1412103432432