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215344511040 = 2635376062627
BaseRepresentation
bin1100100010001110001…
…0000111100001000000
3202120211201200121111010
43020203202013201000
512012011143323130
6242532232120520
721362303066541
oct3104342074100
9676751617433
10215344511040
11833663a948a
123589a536140
13173cb34bbc9
14a5cbd844c8
15590563b0b0
hex3223887840

215344511040 has 112 divisors (see below), whose sum is σ = 702197825472. Its totient is φ = 55873161216.

The previous prime is 215344510991. The next prime is 215344511059. The reversal of 215344511040 is 40115443512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 215344510989 and 215344511007.

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 15 ways as a sum of consecutive naturals, for example, 2995794 + ... + 3066833.

Almost surely, 2215344511040 is an apocalyptic number.

215344511040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215344511040 is an abundant number, since it is smaller than the sum of its proper divisors (486853314432).

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

215344511040 is a wasteful number, since it uses less digits than its factorization.

215344511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062684 (or 6062674 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 215344511040 its reverse (40115443512), we get a palindrome (255459954552).

The spelling of 215344511040 in words is "two hundred fifteen billion, three hundred forty-four million, five hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1776 2220 2368 2960 3552 4440 5920 7104 8880 11840 17760 35520 6062627 12125254 18187881 24250508 30313135 36375762 48501016 60626270 72751524 90939405 97002032 121252540 145503048 181878810 194004064 224317199 242505080 291006096 363757620 388008128 448634398 485010160 582012192 672951597 727515240 897268796 970020320 1121585995 1164024384 1345903194 1455030480 1794537592 1940040640 2243171990 2691806388 2910060960 3364757985 3589075184 4486343980 5383612776 5820121920 6729515970 7178150368 8972687960 10767225552 13459031940 14356300736 17945375920 21534451104 26918063880 35890751840 43068902208 53836127760 71781503680 107672255520 215344511040