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31243037049 = 32721924432
BaseRepresentation
bin11101000110001110…
…101110100101111001
32222122101021201122100
4131012032232211321
51002441204141144
622204114414013
72154142301400
oct350616564571
988571251570
1031243037049
1112282975184
12607b291309
132c3ba77593
14172557c637
15c2cd16269
hex7463ae979

31243037049 has 81 divisors (see below), whose sum is σ = 55530564453. Its totient is φ = 16875344304.

The previous prime is 31243037041. The next prime is 31243037081. The reversal of 31243037049 is 94073034213.

The square root of 31243037049 is 176757.

It is a perfect power (a square), and thus also a powerful number.

31243037049 is a `hidden beast` number, since 3 + 1 + 243 + 0 + 370 + 49 = 666.

It is not a de Polignac number, because 31243037049 - 23 = 31243037041 is a prime.

It is a super-2 number, since 2×312430370492 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31243037041) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 70525822 + ... + 70526264.

Almost surely, 231243037049 is an apocalyptic number.

31243037049 is the 176757-th square number.

31243037049 is the 88379-th centered octagonal number.

It is an amenable number.

31243037049 is a deficient number, since it is larger than the sum of its proper divisors (24287527404).

31243037049 is an equidigital number, since it uses as much as digits as its factorization.

31243037049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Multiplying 31243037049 by its sum of digits (36), we get a square (1124749333764 = 10605422).

The spelling of 31243037049 in words is "thirty-one billion, two hundred forty-three million, thirty-seven thousand, forty-nine".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 361 399 441 443 931 1083 1197 1329 2527 2793 3101 3249 3987 7581 8379 8417 9303 17689 21707 22743 25251 27909 53067 58919 65121 75753 159201 159923 176757 195363 196249 412433 479769 530271 588747 1119461 1237299 1373743 1439307 1766241 3358383 3711897 3728731 4121229 7836227 9616201 10075149 11186193 12363687 23508681 26101117 28848603 33558579 70526043 70845889 78303351 86545809 182707819 212537667 234910053 495921223 548123457 637613001 1487763669 1644370371 3471448561 4463291007 10414345683 31243037049