Search a number
-
+
142350307632 = 24331325347277
BaseRepresentation
bin1000010010010010111…
…1010101000100110000
3111121102122012212201000
42010210233111010300
54313013134321012
6145221141042000
713166400436101
oct2044457250460
9447378185630
10142350307632
1155409046045
12237089b6300
131056779c580
146c658343a8
153a8222dddc
hex2124bd5130

142350307632 has 80 divisors (see below), whose sum is σ = 440028746080. Its totient is φ = 43800092928.

The previous prime is 142350307609. The next prime is 142350307663. The reversal of 142350307632 is 236703053241.

142350307632 is a `hidden beast` number, since 14 + 2 + 3 + 5 + 0 + 3 + 0 + 7 + 632 = 666.

It is a super-3 number, since 3×1423503076323 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12668023 + ... + 12679254.

It is an arithmetic number, because the mean of its divisors is an integer number (5500359326).

Almost surely, 2142350307632 is an apocalyptic number.

142350307632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142350307632 is an abundant number, since it is smaller than the sum of its proper divisors (297678438448).

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

142350307632 is a wasteful number, since it uses less digits than its factorization.

142350307632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25347307 (or 25347295 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 142350307632 in words is "one hundred forty-two billion, three hundred fifty million, three hundred seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 25347277 50694554 76041831 101389108 152083662 202778216 228125493 304167324 329514601 405556432 456250986 608334648 659029202 684376479 912501972 988543803 1216669296 1318058404 1368752958 1825003944 1977087606 2636116808 2737505916 2965631409 3650007888 3954175212 5272233616 5475011832 5931262818 7908350424 8896894227 10950023664 11862525636 15816700848 17793788454 23725051272 35587576908 47450102544 71175153816 142350307632