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114258381840 = 2433552897399
BaseRepresentation
bin110101001101001010…
…1001000110000010000
3101220220212022012002000
41222122111020300100
53333000121204330
6124253425354000
711153300135601
oct1523225106020
9356825265060
10114258381840
1144502972449
121a188a98900
13aa0b807185
14575c995da8
152e8adaa560
hex1a9a548c10

114258381840 has 80 divisors (see below), whose sum is σ = 393556656000. Its totient is φ = 30468901248.

The previous prime is 114258381823. The next prime is 114258381851. The reversal of 114258381840 is 48183852411.

114258381840 is a `hidden beast` number, since 1 + 14 + 2 + 583 + 8 + 18 + 40 = 666.

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 (45).

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, 26446540 + ... + 26450859.

It is an arithmetic number, because the mean of its divisors is an integer number (4919458200).

Almost surely, 2114258381840 is an apocalyptic number.

114258381840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114258381840 is an abundant number, since it is smaller than the sum of its proper divisors (279298274160).

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

114258381840 is a wasteful number, since it uses less digits than its factorization.

114258381840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52897421 (or 52897409 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 114258381840 in words is "one hundred fourteen billion, two hundred fifty-eight million, three hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 52897399 105794798 158692197 211589596 264486995 317384394 423179192 476076591 528973990 634768788 793460985 846358384 952153182 1057947980 1269537576 1428229773 1586921970 1904306364 2115895960 2380382955 2539075152 2856459546 3173843940 3808612728 4231791920 4760765910 5712919092 6347687880 7141148865 7617225456 9521531820 11425838184 12695375760 14282297730 19043063640 22851676368 28564595460 38086127280 57129190920 114258381840