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153813854340 = 22335436624197
BaseRepresentation
bin1000111101000000000…
…1010010100010000100
3112201000112220101111000
42033100001102202010
510010002321314330
6154354444413300
714053436122056
oct2172001224204
9481015811430
10153813854340
115a260a02393
1225987b47230
13116737578c3
1476320cb8d6
154003835560
hex23d0052884

153813854340 has 96 divisors (see below), whose sum is σ = 489660716160. Its totient is φ = 40063137408.

The previous prime is 153813854321. The next prime is 153813854351. The reversal of 153813854340 is 43458318351.

It is a happy number.

153813854340 is a `hidden beast` number, since 1 + 5 + 38 + 1 + 38 + 543 + 40 = 666.

153813854340 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 3288879 + ... + 3335318.

It is an arithmetic number, because the mean of its divisors is an integer number (5100632460).

Almost surely, 2153813854340 is an apocalyptic number.

153813854340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153813854340 is an abundant number, since it is smaller than the sum of its proper divisors (335846861820).

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

153813854340 is a wasteful number, since it uses less digits than its factorization.

153813854340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6624258 (or 6624250 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 153813854340 in words is "one hundred fifty-three billion, eight hundred thirteen million, eight hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5805 7740 11610 23220 6624197 13248394 19872591 26496788 33120985 39745182 59617773 66241970 79490364 99362955 119235546 132483940 178853319 198725910 238471092 284840471 298088865 357706638 397451820 569680942 596177730 715413276 854521413 894266595 1139361884 1192355460 1424202355 1709042826 1788533190 2563564239 2848404710 3418085652 3577066380 4272607065 5127128478 5696809420 7690692717 8545214130 10254256956 12817821195 15381385434 17090428260 25635642390 30762770868 38453463585 51271284780 76906927170 153813854340