Search a number
-
+
54315995040 = 253454191049
BaseRepresentation
bin110010100101011111…
…000100111110100000
312012012101010102210000
4302211133010332200
51342214343320130
640541420140000
73632000224446
oct624537047640
9165171112700
1054315995040
1121042a65aaa
12a63a397600
135177c9c748
1428b3a1cb96
15162d738260
hexca57c4fa0

54315995040 has 120 divisors (see below), whose sum is σ = 191690244900. Its totient is φ = 14484261888.

The previous prime is 54315995033. The next prime is 54315995051. The reversal of 54315995040 is 4059951345.

54315995040 is a `hidden beast` number, since 5 + 4 + 3 + 1 + 599 + 50 + 4 + 0 = 666.

54315995040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 48810948624 + 5505046416 = 220932^2 + 74196^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 19 ways as a sum of consecutive naturals, for example, 2082565 + ... + 2108484.

Almost surely, 254315995040 is an apocalyptic number.

It is an amenable number.

54315995040 is an abundant number, since it is smaller than the sum of its proper divisors (137374249860).

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

54315995040 is a wasteful number, since it uses less digits than its factorization.

54315995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191076 (or 4191059 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 54315995040 in words is "fifty-four billion, three hundred fifteen million, nine hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 4191049 8382098 12573147 16764196 20955245 25146294 33528392 37719441 41910490 50292588 62865735 67056784 75438882 83820980 100585176 113158323 125731470 134113568 150877764 167641960 188597205 201170352 226316646 251462940 301755528 335283920 339474969 377194410 402340704 452633292 502925880 565791615 603511056 670567840 678949938 754388820 905266584 1005851760 1131583230 1207022112 1357899876 1508777640 1697374845 1810533168 2011703520 2263166460 2715799752 3017555280 3394749690 3621066336 4526332920 5431599504 6035110560 6789499380 9052665840 10863199008 13578998760 18105331680 27157997520 54315995040