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31943014544 = 2472314612851
BaseRepresentation
bin11101101111111100…
…111011100010010000
310001110011102021020202
4131233330323202100
51010404402431134
622401401354332
72210402100200
oct355774734220
9101404367222
1031943014544
1112601aa9681
1262357989a8
133020aa964c
14179050c400
15c6e4d1d7e
hex76ff3b890

31943014544 has 120 divisors (see below), whose sum is σ = 74503731456. Its totient is φ = 13214880000.

The previous prime is 31943014541. The next prime is 31943014547. The reversal of 31943014544 is 44541034913.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31943014541) and next prime (31943014547).

It is a junction number, because it is equal to n+sod(n) for n = 31943014498 and 31943014507.

It is not an unprimeable number, because it can be changed into a prime (31943014541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11202719 + ... + 11205569.

Almost surely, 231943014544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31943014544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37251865728).

31943014544 is an abundant number, since it is smaller than the sum of its proper divisors (42560716912).

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

31943014544 is a wasteful number, since it uses less digits than its factorization.

31943014544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 31943014544 in words is "thirty-one billion, nine hundred forty-three million, fourteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 461 496 784 868 922 1519 1736 1844 2851 3038 3227 3472 3688 5702 6076 6454 7376 11404 12152 12908 14291 19957 22589 22808 24304 25816 28582 39914 45178 45616 51632 57164 79828 88381 90356 100037 114328 139699 159656 176762 180712 200074 228656 279398 319312 353524 361424 400148 558796 618667 700259 707048 800296 1117592 1237334 1314311 1400518 1414096 1600592 2235184 2474668 2628622 2801036 4330669 4949336 5257244 5602072 8661338 9200177 9898672 10514488 11204144 17322676 18400354 21028976 34645352 36800708 40743641 64401239 69290704 73601416 81487282 128802478 147202832 162974564 257604956 285205487 325949128 515209912 570410974 651898256 1030419824 1140821948 1996438409 2281643896 3992876818 4563287792 7985753636 15971507272 31943014544