Search a number
-
+
151134352452 = 223231580723321
BaseRepresentation
bin1000110011000001001…
…1110011010001000100
3112110002210221120220100
42030300103303101010
54434010343234302
6153232525404100
713630151541156
oct2146023632104
9473083846810
10151134352452
1159106446a16
122535a709630
131133759a225
14745a2b2ad6
153de849dd1c
hex23304f3444

151134352452 has 72 divisors (see below), whose sum is σ = 394442560512. Its totient is φ = 48742531200.

The previous prime is 151134352441. The next prime is 151134352463. The reversal of 151134352452 is 254253431151.

151134352452 is a `hidden beast` number, since 1 + 5 + 113 + 43 + 52 + 452 = 666.

151134352452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151134352441) and next prime (151134352463).

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 23 ways as a sum of consecutive naturals, for example, 6468952 + ... + 6492272.

It is an arithmetic number, because the mean of its divisors is an integer number (5478368896).

Almost surely, 2151134352452 is an apocalyptic number.

151134352452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151134352452 is an abundant number, since it is smaller than the sum of its proper divisors (243308208060).

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

151134352452 is a wasteful number, since it uses less digits than its factorization.

151134352452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29169 (or 29164 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 151134352452 in words is "one hundred fifty-one billion, one hundred thirty-four million, three hundred fifty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 5807 11614 17421 23228 23321 34842 46642 52263 69684 69963 93284 104526 139926 180017 209052 209889 279852 360034 419778 540051 720068 722951 839556 1080102 1445902 1620153 2160204 2168853 2891804 3240306 4337706 6480612 6506559 8675412 13013118 26026236 135425047 270850094 406275141 541700188 812550282 1218825423 1625100564 2437650846 4198176457 4875301692 8396352914 12594529371 16792705828 25189058742 37783588113 50378117484 75567176226 151134352452