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114314530354440 = 233513118162047879
BaseRepresentation
bin11001111111011111101100…
…111110010111010100001000
3112222202100210011120222212220
4121333133230332113110020
5104440412124232320230
61043043211550534040
733035644425443613
oct3177375476272410
9488670704528786
10114314530354440
113347357a236449
12109a2b08b07320
134ba2a77359b50
142032bd20b317a
15d338b3821d10
hex67f7ecf97508

114314530354440 has 128 divisors (see below), whose sum is σ = 369636594566400. Its totient is φ = 28115134479360.

The previous prime is 114314530354397. The next prime is 114314530354441. The reversal of 114314530354440 is 44453035413411.

It is a junction number, because it is equal to n+sod(n) for n = 114314530354392 and 114314530354401.

It is not an unprimeable number, because it can be changed into a prime (114314530354441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29181580 + ... + 32866299.

It is an arithmetic number, because the mean of its divisors is an integer number (2887785895050).

Almost surely, 2114314530354440 is an apocalyptic number.

114314530354440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114314530354440 is an abundant number, since it is smaller than the sum of its proper divisors (255322064211960).

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

114314530354440 is a wasteful number, since it uses less digits than its factorization.

114314530354440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62049087 (or 62049083 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 114314530354440 its reverse (44453035413411), we get a palindrome (158767565767851).

The spelling of 114314530354440 in words is "one hundred fourteen trillion, three hundred fourteen billion, five hundred thirty million, three hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1181 1560 2362 3543 4724 5905 7086 9448 11810 14172 15353 17715 23620 28344 30706 35430 46059 47240 61412 70860 76765 92118 122824 141720 153530 184236 230295 307060 368472 460590 614120 921180 1842360 62047879 124095758 186143637 248191516 310239395 372287274 496383032 620478790 744574548 806622427 930718185 1240957580 1489149096 1613244854 1861436370 2419867281 2481915160 3226489708 3722872740 4033112135 4839734562 6452979416 7445745480 8066224270 9679469124 12099336405 16132448540 19358938248 24198672810 32264897080 48397345620 73278545099 96794691240 146557090198 219835635297 293114180396 366392725495 439671270594 586228360792 732785450990 879342541188 952621086287 1099178176485 1465570901980 1758685082376 1905242172574 2198356352970 2857863258861 2931141803960 3810484345148 4396712705940 4763105431435 5715726517722 7620968690296 8793425411880 9526210862870 11431453035444 14289316294305 19052421725740 22862906070888 28578632588610 38104843451480 57157265177220 114314530354440