Search a number
-
+
214339086824976 = 243212200272
BaseRepresentation
bin110000101111000010110101…
…001000011011011000010000
31001002220121122111020110221100
4300233002311020123120100
5211043212422211344401
62035510003412024400
763101326245310551
oct6057026510333020
91032817574213840
10214339086824976
1162327772782373
1220058426602100
13927a120b66819
143ad00d23b6328
1519ba6b8da2b86
hexc2f0b521b610

214339086824976 has 45 divisors (see below), whose sum is σ = 599852241605071. Its totient is φ = 71446303713696.

The previous prime is 214339086824953. The next prime is 214339086825037. The reversal of 214339086824976 is 679428680933412.

The square root of 214339086824976 is 14640324.

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

214339086824976 is a `hidden beast` number, since 2 + 1 + 43 + 3 + 90 + 8 + 6 + 8 + 2 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 175073875 + ... + 176293901.

Almost surely, 2214339086824976 is an apocalyptic number.

214339086824976 is the 14640324-th square number.

It is an amenable number.

214339086824976 is an abundant number, since it is smaller than the sum of its proper divisors (385513154780095).

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

214339086824976 is an frugal number, since it uses more digits than its factorization.

214339086824976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440068 (or 1220032 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 214339086824976 in words is "two hundred fourteen trillion, three hundred thirty-nine billion, eighty-six million, eight hundred twenty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1220027 2440054 3660081 4880108 7320162 9760216 10980243 14640324 19520432 21960486 29280648 43920972 58561296 87841944 175683888 1488465880729 2976931761458 4465397642187 5953863522916 8930795284374 11907727045832 13396192926561 17861590568748 23815454091664 26792385853122 35723181137496 53584771706244 71446362274992 107169543412488 214339086824976