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100041244344344 = 23371972936838573
BaseRepresentation
bin10110101111110010101010…
…110101010000000000011000
3111010012211221022211022022202
4112233302222311100000120
5101103033432023004334
6552434151352105332
730033512203242152
oct2657625265200030
9433184838738282
10100041244344344
11299702873a9576
12b2787b6395248
1343a8b05c47a24
141a9c044773ad2
15b8748065117e
hex5afcaad50018

100041244344344 has 128 divisors (see below), whose sum is σ = 194592885157440. Its totient is φ = 48180128274432.

The previous prime is 100041244344317. The next prime is 100041244344397. The reversal of 100041244344344 is 443443442140001.

It is a junction number, because it is equal to n+sod(n) for n = 100041244344298 and 100041244344307.

It is a congruent number.

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, 11669334842 + ... + 11669343414.

Almost surely, 2100041244344344 is an apocalyptic number.

It is an amenable number.

100041244344344 is a deficient number, since it is larger than the sum of its proper divisors (94551640813096).

100041244344344 is a wasteful number, since it uses less digits than its factorization.

100041244344344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9789 (or 9785 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 100041244344344 its reverse (443443442140001), we get a palindrome (543484686484345).

The spelling of 100041244344344 in words is "one hundred trillion, forty-one billion, two hundred forty-four million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 37 74 148 197 293 296 394 586 683 788 1172 1366 1576 2344 2732 5464 7289 8573 10841 14578 17146 21682 25271 29156 34292 43364 50542 57721 58312 68584 86728 101084 115442 134551 200119 202168 230884 269102 317201 400238 461768 538204 634402 800476 1076408 1268804 1600952 1688881 2135677 2511889 2537608 3377762 4271354 4978387 5023778 5855359 6755524 7404403 8542708 9956774 10047556 11710718 13511048 14808806 17085416 19913548 20095112 23421436 29617612 39423443 39827096 46842872 59235224 62488597 78846886 92939893 124977194 157693772 185879786 216648283 249954388 315387544 371759572 433296566 494842133 499908776 743519144 866593132 989684266 1153505723 1458667391 1715620187 1733186264 1979368532 2307011446 2917334782 3431240374 3958737064 4614022892 5834669564 6862480748 9228045784 11669339128 13724961496 18309158921 36618317842 42679711751 63477946919 73236635684 85359423502 126955893838 146473271368 170718847004 253911787676 337977176839 341437694008 507823575352 675954353678 1351908707356 2703817414712 12505155543043 25010311086086 50020622172172 100041244344344