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114011510011434 = 2347711416045781
BaseRepresentation
bin11001111011000101011111…
…100011011111011000101010
3112221200101122011100122110000
4121323011133203133120222
5104420431033030331214
61042252055321203430
733005026334150430
oct3173053743373052
9487611564318400
10114011510011434
1133367012144802
1210954240030576
134b80315873439
142022287b90d50
15d2aa7ae01809
hex67b15f8df62a

114011510011434 has 80 divisors (see below), whose sum is σ = 296078180466816. Its totient is φ = 32115918290400.

The previous prime is 114011510011433. The next prime is 114011510011471. The reversal of 114011510011434 is 434110015110411.

114011510011434 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 1 + 510 + 0 + 1 + 143 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114011510011398 and 114011510011407.

It is not an unprimeable number, because it can be changed into a prime (114011510011433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 707942377 + ... + 708103404.

Almost surely, 2114011510011434 is an apocalyptic number.

114011510011434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114011510011434 is an abundant number, since it is smaller than the sum of its proper divisors (182066670455382).

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

114011510011434 is a wasteful number, since it uses less digits than its factorization.

114011510011434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416045873 (or 1416045864 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 114011510011434 its reverse (434110015110411), we get a palindrome (548121525121845).

The spelling of 114011510011434 in words is "one hundred fourteen trillion, eleven billion, five hundred ten million, eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 81 126 142 162 189 213 378 426 497 567 639 994 1134 1278 1491 1917 2982 3834 4473 5751 8946 11502 13419 26838 40257 80514 1416045781 2832091562 4248137343 8496274686 9912320467 12744412029 19824640934 25488824058 29736961401 38233236087 59473922802 76466472174 89210884203 100539250451 114699708261 178421768406 201078500902 229399416522 267632652609 301617751353 535265305218 603235502706 703774753157 802897957827 904853254059 1407549506314 1605795915654 1809706508118 2111324259471 2714559762177 4222648518942 5429119524354 6333972778413 8143679286531 12667945556826 16287358573062 19001918335239 38003836670478 57005755005717 114011510011434