Search a number
-
+
133001034412194 = 232131374148762693
BaseRepresentation
bin11110001111011010110111…
…011010010011000010100010
3122102220202220202201010222200
4132033122313122103002202
5114413042104302142234
61150511455352314030
740005002422262544
oct3617326732230242
9572822822633880
10133001034412194
1139418470661113
1212b005a93a2916
135929c364b05c0
1424bb3da5dd694
1510599dea19d99
hex78f6b76930a2

133001034412194 has 48 divisors (see below), whose sum is σ = 312600971467512. Its totient is φ = 40624684280064.

The previous prime is 133001034412189. The next prime is 133001034412243. The reversal of 133001034412194 is 491214430100331.

133001034412194 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 103 + 441 + 21 + 94 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55361233703169 + 77639800709025 = 7440513^2 + 8811345^2 .

It is a super-2 number, since 2×1330010344121942 (a number of 29 digits) contains 22 as substring.

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, 2074349289 + ... + 2074413404.

Almost surely, 2133001034412194 is an apocalyptic number.

133001034412194 is an abundant number, since it is smaller than the sum of its proper divisors (179599937055318).

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

133001034412194 is a wasteful number, since it uses less digits than its factorization.

133001034412194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148762851 (or 4148762848 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 133001034412194 in words is "one hundred thirty-three trillion, one billion, thirty-four million, four hundred twelve thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 137 234 274 411 822 1233 1781 2466 3562 5343 10686 16029 32058 4148762693 8297525386 12446288079 24892576158 37338864237 53933915009 74677728474 107867830018 161801745027 323603490054 485405235081 568380488941 970810470162 1136760977882 1705141466823 3410282933646 5115424400469 7388946356233 10230848800938 14777892712466 22166839068699 44333678137398 66500517206097 133001034412194