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42314489160 = 23354745716417
BaseRepresentation
bin100111011010001000…
…111101110101001000
311001012222011202202020
4213122020331311020
51143130002123120
631234454204440
73025410136416
oct473210756510
9131188152666
1042314489160
1116a44475aa9
12824b053720
133cb472b688
142095b2c2b6
151179cbb640
hex9da23dd48

42314489160 has 128 divisors (see below), whose sum is σ = 129935992320. Its totient is φ = 11018944512.

The previous prime is 42314489137. The next prime is 42314489167. The reversal of 42314489160 is 6198441324.

42314489160 is digitally balanced in base 2, 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 (42314489167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2569272 + ... + 2585688.

It is an arithmetic number, because the mean of its divisors is an integer number (1015124940).

Almost surely, 242314489160 is an apocalyptic number.

42314489160 is a gapful number since it is divisible by the number (40) 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 42314489160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64967996160).

42314489160 is an abundant number, since it is smaller than the sum of its proper divisors (87621503160).

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

42314489160 is a wasteful number, since it uses less digits than its factorization.

42314489160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16935 (or 16931 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 42314489160 in words is "forty-two billion, three hundred fourteen million, four hundred eighty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 457 470 564 705 914 940 1128 1371 1410 1828 1880 2285 2742 2820 3656 4570 5484 5640 6855 9140 10968 13710 16417 18280 21479 27420 32834 42958 49251 54840 64437 65668 82085 85916 98502 107395 128874 131336 164170 171832 197004 214790 246255 257748 322185 328340 394008 429580 492510 515496 644370 656680 771599 859160 985020 1288740 1543198 1970040 2314797 2577480 3086396 3857995 4629594 6172792 7502569 7715990 9259188 11573985 15005138 15431980 18518376 22507707 23147970 30010276 30863960 37512845 45015414 46295940 60020552 75025690 90030828 92591880 112538535 150051380 180061656 225077070 300102760 352620743 450154140 705241486 900308280 1057862229 1410482972 1763103715 2115724458 2820965944 3526207430 4231448916 5289311145 7052414860 8462897832 10578622290 14104829720 21157244580 42314489160