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114304002004320 = 2535511346574093
BaseRepresentation
bin11001111111010101111001…
…011011111001010101100000
3112222201100121102122101122120
4121333111321123321111200
5104440224044003114240
61043034311131504240
733035122504110402
oct3177257133712540
9488640542571576
10114304002004320
113346a067261147
12109a0a6abb8080
134ba1a8a06c58b
1420324b3ad8b72
15d3349939aad0
hex67f5796f9560

114304002004320 has 96 divisors (see below), whose sum is σ = 360128034074592. Its totient is φ = 30475105062912.

The previous prime is 114304002004307. The next prime is 114304002004349. The reversal of 114304002004320 is 23400200403411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20832807 + ... + 25741286.

It is an arithmetic number, because the mean of its divisors is an integer number (3751333688277).

Almost surely, 2114304002004320 is an apocalyptic number.

114304002004320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114304002004320 is an abundant number, since it is smaller than the sum of its proper divisors (245824032070272).

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

114304002004320 is a wasteful number, since it uses less digits than its factorization.

114304002004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46579224 (or 46579216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 114304002004320 its reverse (23400200403411), we get a palindrome (137704202407731).

The spelling of 114304002004320 in words is "one hundred fourteen trillion, three hundred four billion, two million, four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5113 10226 15339 20452 25565 30678 40904 51130 61356 76695 81808 102260 122712 153390 163616 204520 245424 306780 409040 490848 613560 818080 1227120 2454240 46574093 93148186 139722279 186296372 232870465 279444558 372592744 465740930 558889116 698611395 745185488 931481860 1117778232 1397222790 1490370976 1862963720 2235556464 2794445580 3725927440 4471112928 5588891160 7451854880 11177782320 22355564640 238133337509 476266675018 714400012527 952533350036 1190666687545 1428800025054 1905066700072 2381333375090 2857600050108 3572000062635 3810133400144 4762666750180 5715200100216 7144000125270 7620266800288 9525333500360 11430400200432 14288000250540 19050667000720 22860800400864 28576000501080 38101334001440 57152001002160 114304002004320