Search a number
-
+
10014967334232 = 2332779251531227
BaseRepresentation
bin1001000110111100101010…
…0100100000010101011000
31022110102101021220121111200
42101233022210200111120
52303041123114143412
633144451254554200
72052362140523250
oct221571244402530
938412337817450
1010014967334232
113211361a74833
121158b74368960
1357853aca8103
14268a26c8c960
151257a3e539dc
hex91bca920558

10014967334232 has 96 divisors (see below), whose sum is σ = 31391097254400. Its totient is φ = 2825198730432.

The previous prime is 10014967334213. The next prime is 10014967334293. The reversal of 10014967334232 is 23243376941001.

10014967334232 is a `hidden beast` number, since 10 + 0 + 14 + 9 + 67 + 334 + 232 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125725798 + ... + 125805429.

It is an arithmetic number, because the mean of its divisors is an integer number (326990596400).

Almost surely, 210014967334232 is an apocalyptic number.

10014967334232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10014967334232 is an abundant number, since it is smaller than the sum of its proper divisors (21376129920168).

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

10014967334232 is a wasteful number, since it uses less digits than its factorization.

10014967334232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251531325 (or 251531318 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 10014967334232 in words is "ten trillion, fourteen billion, nine hundred sixty-seven million, three hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1106 1422 1659 1896 2212 2844 3318 4424 4977 5688 6636 9954 13272 19908 39816 251531227 503062454 754593681 1006124908 1509187362 1760718589 2012249816 2263781043 3018374724 3521437178 4527562086 5282155767 6036749448 7042874356 9055124172 10564311534 14085748712 15846467301 18110248344 19870966933 21128623068 31692934602 39741933866 42257246136 59612900799 63385869204 79483867732 119225801598 126771738408 139096768531 158967735464 178838702397 238451603196 278193537062 357677404794 417290305593 476903206392 556387074124 715354809588 834580611186 1112774148248 1251870916779 1430709619176 1669161222372 2503741833558 3338322444744 5007483667116 10014967334232