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309995064180 = 2232531144738393
BaseRepresentation
bin1001000001011010010…
…01010100101101110100
31002122011002101220012100
410200231021110231310
520034332214023210
6354224302022100
731252652366214
oct4405511245564
91078132356170
10309995064180
1110a51714aa1a
12500b4877930
13233037ab579
141100a77c244
1580e4de45c0
hex482d254b74

309995064180 has 144 divisors (see below), whose sum is σ = 971347313664. Its totient is φ = 79941358080.

The previous prime is 309995064173. The next prime is 309995064193. The reversal of 309995064180 is 81460599903.

309995064180 is a `hidden beast` number, since 3 + 0 + 9 + 99 + 506 + 41 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8055064 + ... + 8093456.

It is an arithmetic number, because the mean of its divisors is an integer number (6745467456).

Almost surely, 2309995064180 is an apocalyptic number.

309995064180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309995064180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485673656832).

309995064180 is an abundant number, since it is smaller than the sum of its proper divisors (661352249484).

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

309995064180 is a wasteful number, since it uses less digits than its factorization.

309995064180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39886 (or 39881 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 309995064180 in words is "three hundred nine billion, nine hundred ninety-five million, sixty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1447 1860 2790 2894 4341 5580 5788 7235 8682 13023 14470 17364 21705 26046 28940 38393 43410 44857 52092 65115 76786 86820 89714 115179 130230 134571 153572 179428 191965 224285 230358 260460 269142 345537 383930 403713 448570 460716 538284 575895 672855 691074 767860 807426 897140 1151790 1190183 1345710 1382148 1614852 1727685 2018565 2303580 2380366 2691420 3455370 3570549 4037130 4760732 5950915 6910740 7141098 8074260 10711647 11901830 14282196 17852745 21423294 23803660 35705490 42846588 53558235 55554671 71410980 107116470 111109342 166664013 214232940 222218684 277773355 333328026 499992039 555546710 666656052 833320065 999984078 1111093420 1666640130 1722194801 1999968156 2499960195 3333280260 3444389602 4999920390 5166584403 6888779204 8610974005 9999840780 10333168806 15499753209 17221948010 20666337612 25832922015 30999506418 34443896020 51665844030 61999012836 77498766045 103331688060 154997532090 309995064180