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31313440004 = 22731110719391
BaseRepresentation
bin11101001010011011…
…010010110100000100
32222211021202120100012
4131022123102310010
51003112220040004
622215111405352
72155655564000
oct351233226404
988737676305
1031313440004
1112309690a40
12609a983858
132c50527632
141730a67700
15c340c146e
hex74a6d2d04

31313440004 has 96 divisors (see below), whose sum is σ = 70369689600. Its totient is φ = 12085399200.

The previous prime is 31313439973. The next prime is 31313440013. The reversal of 31313440004 is 40004431313.

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, 1605149 + ... + 1624539.

It is an arithmetic number, because the mean of its divisors is an integer number (733017600).

Almost surely, 231313440004 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 31313440004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35184844800).

31313440004 is an abundant number, since it is smaller than the sum of its proper divisors (39056249596).

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

31313440004 is a wasteful number, since it uses less digits than its factorization.

31313440004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19534 (or 19518 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 31313440004 its reverse (40004431313), we get a palindrome (71317871317).

The spelling of 31313440004 in words is "thirty-one billion, three hundred thirteen million, four hundred forty thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 107 154 196 214 308 343 428 539 686 749 1078 1177 1372 1498 2156 2354 2996 3773 4708 5243 7546 8239 10486 15092 16478 19391 20972 32956 36701 38782 57673 73402 77564 115346 135737 146804 213301 230692 271474 403711 426602 542948 807422 853204 950159 1493107 1614844 1900318 2074837 2986214 3800636 4149674 5972428 6651113 8299348 10451749 13302226 14523859 20903498 22823207 26604452 29047718 41806996 45646414 58095436 73162243 91292828 101667013 146324486 159762449 203334026 292648972 319524898 406668052 639049796 711669091 1118337143 1423338182 2236674286 2846676364 4473348572 7828360001 15656720002 31313440004