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31412954169 = 344724192
BaseRepresentation
bin11101010000010110…
…111010010000111001
310000002020000102010000
4131100112322100321
51003313204013134
622233024343213
72161304463522
oct352026722071
9100066012100
1031412954169
111235a880453
126108174b09
132c6802ac5c
14173dd6d849
15c3cbcbe99
hex7505ba439

31412954169 has 45 divisors (see below), whose sum is σ = 48059883157. Its totient is φ = 20447478216.

The previous prime is 31412954123. The next prime is 31412954179. The reversal of 31412954169 is 96145921413.

The square root of 31412954169 is 177237.

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

31412954169 is a `hidden beast` number, since 3 + 1 + 41 + 2 + 9 + 541 + 69 = 666.

It is not a de Polignac number, because 31412954169 - 215 = 31412921401 is a prime.

It is a super-2 number, since 2×314129541692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31412954119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 74971042 + ... + 74971460.

Almost surely, 231412954169 is an apocalyptic number.

31412954169 is the 177237-th square number.

31412954169 is the 88619-th centered octagonal number.

It is an amenable number.

31412954169 is a deficient number, since it is larger than the sum of its proper divisors (16646928988).

31412954169 is an frugal number, since it uses more digits than its factorization.

31412954169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 469 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 31412954169 in words is "thirty-one billion, four hundred twelve million, nine hundred fifty-four thousand, one hundred sixty-nine".

Divisors: 1 3 9 27 47 81 141 419 423 1257 1269 2209 3771 3807 6627 11313 19693 19881 33939 59079 59643 175561 177237 178929 526683 531711 925571 1580049 1595133 2776713 4740147 8251367 8330139 14220441 24754101 24990417 74262303 74971251 222786909 387814249 668360727 1163442747 3490328241 10470984723 31412954169