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31040023520 = 2551122369709
BaseRepresentation
bin11100111010001000…
…010010101111100000
32222010020021120102202
4130322020102233200
51002032221223040
622132023232332
72146125563252
oct347210225740
988106246382
1031040023520
1112189314100
1260232a86a8
132c089a672c
141706613cd2
15c1a0b4015
hex73a212be0

31040023520 has 144 divisors (see below), whose sum is σ = 84110412960. Its totient is φ = 10796375040.

The previous prime is 31040023517. The next prime is 31040023537. The reversal of 31040023520 is 2532004013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31040023492 and 31040023501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410426 + ... + 480134.

It is an arithmetic number, because the mean of its divisors is an integer number (584100090).

Almost surely, 231040023520 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 31040023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42055206480).

31040023520 is an abundant number, since it is smaller than the sum of its proper divisors (53070389440).

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

31040023520 is a wasteful number, since it uses less digits than its factorization.

31040023520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69769 (or 69750 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 31040023520 its reverse (2532004013), we get a palindrome (33572027533).

The spelling of 31040023520 in words is "thirty-one billion, forty million, twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 121 160 176 184 220 230 242 253 352 368 440 460 484 506 605 736 880 920 968 1012 1210 1265 1760 1840 1936 2024 2420 2530 2783 3680 3872 4048 4840 5060 5566 8096 9680 10120 11132 13915 19360 20240 22264 27830 40480 44528 55660 69709 89056 111320 139418 222640 278836 348545 445280 557672 697090 766799 1115344 1394180 1533598 1603307 2230688 2788360 3067196 3206614 3833995 5576720 6134392 6413228 7667990 8016535 8434789 11153440 12268784 12826456 15335980 16033070 16869578 17636377 24537568 25652912 30671960 32066140 33739156 35272754 42173945 51305824 61343920 64132280 67478312 70545508 84347890 88181885 122687840 128264560 134956624 141091016 168695780 176363770 194000147 256529120 269913248 282182032 337391560 352727540 388000294 564364064 674783120 705455080 776000588 970000735 1349566240 1410910160 1552001176 1940001470 2821820320 3104002352 3880002940 6208004704 7760005880 15520011760 31040023520