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309143053872 = 2434547436081
BaseRepresentation
bin1000111111110100101…
…11001010011000110000
31002112221201012021210000
410133322113022120300
520031111110210442
6354003544310000
731222565413152
oct4377227123060
91075851167700
10309143053872
1110a11a215a74
124bab7472300
13231c9118263
1410d69554ad2
1580951e6d4c
hex47fa5ca630

309143053872 has 100 divisors (see below), whose sum is σ = 896387482936. Its totient is φ = 102859061760.

The previous prime is 309143053861. The next prime is 309143053873. The reversal of 309143053872 is 278350341903.

309143053872 is a `hidden beast` number, since 3 + 0 + 9 + 1 + 43 + 0 + 538 + 72 = 666.

309143053872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (309143053873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 490872 + ... + 926952.

Almost surely, 2309143053872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309143053872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448193741468).

309143053872 is an abundant number, since it is smaller than the sum of its proper divisors (587244429064).

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

309143053872 is a wasteful number, since it uses less digits than its factorization.

309143053872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436648 (or 436633 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 309143053872 in words is "three hundred nine billion, one hundred forty-three million, fifty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 547 648 1094 1296 1641 2188 3282 4376 4923 6564 8752 9846 13128 14769 19692 26256 29538 39384 44307 59076 78768 88614 118152 177228 236304 354456 436081 708912 872162 1308243 1744324 2616486 3488648 3924729 5232972 6977296 7849458 10465944 11774187 15698916 20931888 23548374 31397832 35322561 47096748 62795664 70645122 94193496 141290244 188386992 238536307 282580488 477072614 565160976 715608921 954145228 1431217842 1908290456 2146826763 2862435684 3816580912 4293653526 5724871368 6440480289 8587307052 11449742736 12880960578 17174614104 19321440867 25761921156 34349228208 38642881734 51523842312 77285763468 103047684624 154571526936 309143053872