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31541234304 = 27337259999
BaseRepresentation
bin11101011000000000…
…010000101010000000
310000102011101201101010
4131120000100222000
51004044023444204
622253450040520
72164423032216
oct353000205200
9100364351333
1031541234304
1112416228198
126143119140
132c88793968
141753002cb6
15c490bad89
hex758010a80

31541234304 has 96 divisors (see below), whose sum is σ = 86108400000. Its totient is φ = 10229419008.

The previous prime is 31541234261. The next prime is 31541234317. The reversal of 31541234304 is 40343214513.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×315412343042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495697 + ... + 555695.

It is an arithmetic number, because the mean of its divisors is an integer number (896962500).

Almost surely, 231541234304 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 31541234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43054200000).

31541234304 is an abundant number, since it is smaller than the sum of its proper divisors (54567165696).

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

31541234304 is an equidigital number, since it uses as much as digits as its factorization.

31541234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60090 (or 60041 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 31541234304 its reverse (40343214513), we get a palindrome (71884448817).

The spelling of 31541234304 in words is "thirty-one billion, five hundred forty-one million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1369 1776 2368 2738 3552 4107 4736 5476 7104 8214 10952 14208 16428 21904 32856 43808 59999 65712 87616 119998 131424 175232 179997 239996 262848 359994 479992 525696 719988 959984 1439976 1919968 2219963 2879952 3839936 4439926 5759904 6659889 7679872 8879852 11519808 13319778 17759704 23039616 26639556 35519408 53279112 71038816 82138631 106558224 142077632 164277262 213116448 246415893 284155264 328554524 426232896 492831786 657109048 852465792 985663572 1314218096 1971327144 2628436192 3942654288 5256872384 7885308576 10513744768 15770617152 31541234304