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30385205280 = 2532553398129
BaseRepresentation
bin11100010011000110…
…010111000000100000
32220102121010100200100
4130103012113000200
5444212103032110
621543032222400
72123654661213
oct342306270040
986377110610
1030385205280
1111982724501
125a7bb3aa00
132b33126611
14168367b77a
15bcc868bc0
hex713197020

30385205280 has 144 divisors (see below), whose sum is σ = 105646184280. Its totient is φ = 7949819904.

The previous prime is 30385205237. The next prime is 30385205293. The reversal of 30385205280 is 8250258303.

30385205280 is a `hidden beast` number, since 3 + 0 + 3 + 8 + 520 + 52 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29980229904 + 404975376 = 173148^2 + 20124^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122745 + ... + 275384.

Almost surely, 230385205280 is an apocalyptic number.

30385205280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30385205280 is an abundant number, since it is smaller than the sum of its proper divisors (75260979000).

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

30385205280 is a wasteful number, since it uses less digits than its factorization.

30385205280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398203 (or 398192 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 30385205280 in words is "thirty billion, three hundred eighty-five million, two hundred five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1908 2120 2385 2544 3180 3816 4240 4770 5088 6360 7632 8480 9540 12720 15264 19080 25440 38160 76320 398129 796258 1194387 1592516 1990645 2388774 3185032 3583161 3981290 4777548 5971935 6370064 7166322 7962580 9555096 11943870 12740128 14332644 15925160 17915805 19110192 21100837 23887740 28665288 31850320 35831610 38220384 42201674 47775480 57330576 63302511 63700640 71663220 84403348 95550960 105504185 114661152 126605022 143326440 168806696 189907533 191101920 211008370 253210044 286652880 316512555 337613392 379815066 422016740 506420088 573305760 633025110 675226784 759630132 844033480 949537665 1012840176 1266050220 1519260264 1688066960 1899075330 2025680352 2532100440 3038520528 3376133920 3798150660 5064200880 6077041056 7596301320 10128401760 15192602640 30385205280