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114055020240 = 2435767889893
BaseRepresentation
bin110101000111000110…
…1010111111011010000
3101220101200122100101220
41222032031113323100
53332041041121430
6124221322525040
711145250450620
oct1521615277320
9356350570356
10114055020240
11444090a3907
121a130966780
13a9a8643a75
14573d97a880
152e780da110
hex1a8e357ed0

114055020240 has 80 divisors (see below), whose sum is σ = 404080649088. Its totient is φ = 26069718528.

The previous prime is 114055020197. The next prime is 114055020251. The reversal of 114055020240 is 42020550411.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 114055020240.

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, 33943267 + ... + 33946626.

Almost surely, 2114055020240 is an apocalyptic number.

114055020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114055020240 is an abundant number, since it is smaller than the sum of its proper divisors (290025628848).

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

114055020240 is a wasteful number, since it uses less digits than its factorization.

114055020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67889916 (or 67889910 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 114055020240 its reverse (42020550411), we get a palindrome (156075570651).

The spelling of 114055020240 in words is "one hundred fourteen billion, fifty-five million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 67889893 135779786 203669679 271559572 339449465 407339358 475229251 543119144 678898930 814678716 950458502 1018348395 1086238288 1357797860 1425687753 1629357432 1900917004 2036696790 2376146255 2715595720 2851375506 3258714864 3801834008 4073393580 4752292510 5431191440 5702751012 7128438765 7603668016 8146787160 9504585020 11405502024 14256877530 16293574320 19009170040 22811004048 28513755060 38018340080 57027510120 114055020240