Search a number
-
+
531414756324 = 2234404992
BaseRepresentation
bin1111011101110101100…
…10011010101111100100
31212210200012121200110000
413232322302122233210
532201314134200244
61044043434301300
753251644620244
oct7567262325744
91783605550400
10531414756324
1119540a859931
1286ba9887830
133b15c65a09a
141ba13501b24
15dc53a69169
hex7bbac9abe4

531414756324 has 45 divisors (see below), whose sum is σ = 1389257447347. Its totient is φ = 177133878216.

The previous prime is 531414756311. The next prime is 531414756331. The reversal of 531414756324 is 423657414135.

The square root of 531414756324 is 728982.

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

531414756324 is a `hidden beast` number, since 5 + 3 + 1 + 4 + 1 + 4 + 7 + 5 + 632 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 531414756324.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13101427 + ... + 13141925.

Almost surely, 2531414756324 is an apocalyptic number.

531414756324 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

531414756324 is the 728982-nd square number.

It is an amenable number.

531414756324 is an abundant number, since it is smaller than the sum of its proper divisors (857842691023).

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

531414756324 is an frugal number, since it uses more digits than its factorization.

531414756324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81014 (or 40504 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 531414756324 in words is "five hundred thirty-one billion, four hundred fourteen million, seven hundred fifty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 40499 80998 121497 161996 242994 364491 485988 728982 1093473 1457964 2186946 3280419 4373892 6560838 13121676 1640169001 3280338002 4920507003 6560676004 9841014006 14761521009 19682028012 29523042018 44284563027 59046084036 88569126054 132853689081 177138252108 265707378162 531414756324