Search a number
-
+
137094654114 = 23411293771699
BaseRepresentation
bin111111110101101111…
…0100110100010100010
3111002212100210000110000
41333223132212202202
54221232212412424
6142551434120430
712622222222065
oct1775336464242
9432770700400
10137094654114
11531613a3840
12226a0880116
13cc0a99bc12
1468c78248dc
153875b283c9
hex1feb7a68a2

137094654114 has 160 divisors (see below), whose sum is σ = 356050728000. Its totient is φ = 39026655360.

The previous prime is 137094654083. The next prime is 137094654119. The reversal of 137094654114 is 411456490731.

137094654114 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 94 + 6 + 541 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 137094654114.

It is not an unprimeable number, because it can be changed into a prime (137094654119) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1876237 + ... + 1947935.

It is an arithmetic number, because the mean of its divisors is an integer number (2225317050).

Almost surely, 2137094654114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137094654114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178025364000).

137094654114 is an abundant number, since it is smaller than the sum of its proper divisors (218956073886).

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

137094654114 is a wasteful number, since it uses less digits than its factorization.

137094654114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71790 (or 71781 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 137094654114 in words is "one hundred thirty-seven billion, ninety-four million, six hundred fifty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 37 54 58 66 74 81 87 99 111 162 174 198 222 261 297 319 333 407 522 594 638 666 783 814 891 957 999 1073 1221 1566 1782 1914 1998 2146 2349 2442 2871 2997 3219 3663 4698 5742 5994 6438 7326 8613 9657 10989 11803 17226 19314 21978 23606 25839 28971 32967 35409 51678 57942 65934 70818 71699 86913 106227 143398 173826 212454 215097 318681 430194 637362 645291 788689 956043 1290582 1577378 1912086 1935873 2079271 2366067 2652863 3871746 4158542 4732134 5305726 5807619 6237813 7098201 7958589 11615238 12475626 14196402 15917178 18713439 21294603 22871981 23875767 29181493 37426878 42589206 45743962 47751534 56140317 58362986 63883809 68615943 71627301 76933027 87544479 112280634 127767618 137231886 143254602 153866054 168420951 175088958 205847829 214881903 230799081 262633437 336841902 411695658 429763806 461598162 525266874 617543487 692397243 787900311 846263297 1235086974 1384794486 1575800622 1692526594 1852630461 2077191729 2363700933 2538789891 3705260922 4154383458 4727401866 5077579782 6231575187 7616369673 12463150374 15232739346 22849109019 45698218038 68547327057 137094654114