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31014413241 = 3721992911953
BaseRepresentation
bin11100111000100110…
…100110001110111001
32222001110002102201220
4130320212212032321
51002004142210431
622125310302253
72145365106600
oct347046461671
988043072656
1031014413241
1112175911789
1260167b7989
132c035aa816
141703068a37
15c17c05b96
hex7389a63b9

31014413241 has 48 divisors (see below), whose sum is σ = 50694523200. Its totient is φ = 16770281472.

The previous prime is 31014413237. The next prime is 31014413291. The reversal of 31014413241 is 14231441013.

It is not a de Polignac number, because 31014413241 - 22 = 31014413237 is a prime.

It is a super-2 number, since 2×310144132412 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31014413231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2588721 + ... + 2600673.

It is an arithmetic number, because the mean of its divisors is an integer number (1056135900).

Almost surely, 231014413241 is an apocalyptic number.

It is an amenable number.

31014413241 is a deficient number, since it is larger than the sum of its proper divisors (19680109959).

31014413241 is a wasteful number, since it uses less digits than its factorization.

31014413241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12918 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31014413241 its reverse (14231441013), we get a palindrome (45245854254).

The spelling of 31014413241 in words is "thirty-one billion, fourteen million, four hundred thirteen thousand, two hundred forty-one".

Divisors: 1 3 7 19 21 49 57 133 147 399 929 931 2787 2793 6503 11953 17651 19509 35859 45521 52953 83671 123557 136563 227107 251013 370671 585697 681321 864899 1589749 1757091 2594697 4769247 11104337 11128243 33313011 33384729 77730359 210982403 233191077 544112513 632947209 1476876821 1632337539 4430630463 10338137747 31014413241