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114403508544 = 2631362717309
BaseRepresentation
bin110101010001011111…
…0110000000101000000
3101221021222101101111010
41222202332300011000
53333244244233134
6124320052120520
711160011530533
oct1524276600500
9357258341433
10114403508544
1144577886276
121a209606140
13aa328bab70
145773d72a1a
152e989c5ce9
hex1aa2fb0140

114403508544 has 112 divisors (see below), whose sum is σ = 326073251840. Its totient is φ = 35190650880.

The previous prime is 114403508543. The next prime is 114403508579. The reversal of 114403508544 is 445805304411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114403508543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15648762 + ... + 15656070.

It is an arithmetic number, because the mean of its divisors is an integer number (2911368320).

Almost surely, 2114403508544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114403508544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163036625920).

114403508544 is an abundant number, since it is smaller than the sum of its proper divisors (211669743296).

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

114403508544 is a wasteful number, since it uses less digits than its factorization.

114403508544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13608 (or 13598 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 114403508544 in words is "one hundred fourteen billion, four hundred three million, five hundred eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 6271 7309 12542 14618 18813 21927 25084 29236 37626 43854 50168 58472 75252 81523 87708 95017 100336 116944 150504 163046 175416 190034 200672 233888 244569 285051 301008 326092 350832 380068 401344 467776 489138 570102 602016 652184 701664 760136 978276 1140204 1204032 1304368 1403328 1520272 1956552 2280408 2608736 3040544 3913104 4560816 5217472 6081088 7826208 9121632 15652416 18243264 45834739 91669478 137504217 183338956 275008434 366677912 550016868 595851607 733355824 1100033736 1191703214 1466711648 1787554821 2200067472 2383406428 2933423296 3575109642 4400134944 4766812856 7150219284 8800269888 9533625712 14300438568 19067251424 28600877136 38134502848 57201754272 114403508544