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100442341340432 = 2471397711186851
BaseRepresentation
bin10110110101101000001110…
…000100110111010100010000
3111011122012020110120212001022
4112311220032010313110100
5101131121403340343212
6553342324040455012
730104501565405410
oct2665501604672420
9434565213525038
10100442341340432
112a0053a3184303
12b322494a7a468
134407897924680
141ab36144d2640
15b92b084da772
hex5b5a0e137510

100442341340432 has 80 divisors (see below), whose sum is σ = 241985593514112. Its totient is φ = 39325788057600.

The previous prime is 100442341340413. The next prime is 100442341340491. The reversal of 100442341340432 is 234043143244001.

It is a junction number, because it is equal to n+sod(n) for n = 100442341340392 and 100442341340401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355452194 + ... + 355734657.

Almost surely, 2100442341340432 is an apocalyptic number.

It is an amenable number.

100442341340432 is an abundant number, since it is smaller than the sum of its proper divisors (141543252173680).

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

100442341340432 is a wasteful number, since it uses less digits than its factorization.

100442341340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711186976 (or 711186970 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 100442341340432 its reverse (234043143244001), we get a palindrome (334485484584433).

The spelling of 100442341340432 in words is "one hundred trillion, four hundred forty-two billion, three hundred forty-one million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 97 104 112 182 194 208 364 388 679 728 776 1261 1358 1456 1552 2522 2716 5044 5432 8827 10088 10864 17654 20176 35308 70616 141232 711186851 1422373702 2844747404 4978307957 5689494808 9245429063 9956615914 11378989616 18490858126 19913231828 36981716252 39826463656 64718003441 68985124547 73963432504 79652927312 129436006882 137970249094 147926865008 258872013764 275940498188 482895871829 517744027528 551880996376 896806619111 965791743658 1035488055056 1103761992752 1793613238222 1931583487316 3587226476444 3863166974632 6277646333777 7174452952888 7726333949264 12555292667554 14348905905776 25110585335108 50221170670216 100442341340432