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150140993968 = 24713727136107
BaseRepresentation
bin1000101111010100011…
…0011100000110110000
3112100112120202202020101
42023311012130012300
54424442043301333
6152550202322144
713563430251250
oct2136506340660
9470476682211
10150140993968
1158746749a99
1225121ab9354
1311209847044
1473a43b3960
153d8b18067d
hex22f519c1b0

150140993968 has 80 divisors (see below), whose sum is σ = 336126772224. Its totient is φ = 63638991360.

The previous prime is 150140993897. The next prime is 150140993993. The reversal of 150140993968 is 869399041051.

150140993968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4140171 + ... + 4176277.

Almost surely, 2150140993968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150140993968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168063386112).

150140993968 is an abundant number, since it is smaller than the sum of its proper divisors (185985778256).

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

150140993968 is a wasteful number, since it uses less digits than its factorization.

150140993968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36530 (or 36524 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The spelling of 150140993968 in words is "one hundred fifty billion, one hundred forty million, nine hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 271 274 542 548 959 1084 1096 1897 1918 2168 2192 3794 3836 4336 7588 7672 15176 15344 30352 36107 37127 72214 74254 144428 148508 252749 259889 288856 297016 505498 519778 577712 594032 1010996 1039556 2021992 2079112 4043984 4158224 4946659 9784997 9893318 19569994 19786636 34626613 39139988 39573272 68494979 69253226 78279976 79146544 136989958 138506452 156559952 273979916 277012904 547959832 554025808 1095919664 1340544589 2681089178 5362178356 9383812123 10724356712 18767624246 21448713424 37535248492 75070496984 150140993968