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42431142988 = 221321931611747
BaseRepresentation
bin100111100001000101…
…111101110001001100
311001112002200101201101
4213201011331301030
51143344333033423
631254222352444
73031324523143
oct474105756114
9131462611641
1042431142988
1116aa4301823
12828212b724
134002953500
1420a741675a
1511851607ad
hex9e117dc4c

42431142988 has 144 divisors (see below), whose sum is σ = 88850979840. Its totient is φ = 17649964800.

The previous prime is 42431142977. The next prime is 42431143003. The reversal of 42431142988 is 88924113424.

42431142988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24287131 + ... + 24288877.

Almost surely, 242431142988 is an apocalyptic number.

It is an amenable number.

42431142988 is an abundant number, since it is smaller than the sum of its proper divisors (46419836852).

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

42431142988 is a wasteful number, since it uses less digits than its factorization.

42431142988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1873 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The spelling of 42431142988 in words is "forty-two billion, four hundred thirty-one million, one hundred forty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 4 13 19 26 31 38 52 61 62 76 122 124 169 244 247 338 403 494 589 676 793 806 988 1159 1178 1586 1612 1747 1891 2318 2356 3172 3211 3494 3782 4636 5239 6422 6988 7564 7657 10309 10478 12844 15067 15314 20618 20956 22711 24583 30134 30628 33193 35929 41236 45422 49166 54157 60268 66386 71858 90844 98332 99541 106567 108314 132772 143716 195871 199082 213134 216628 295243 319579 391742 398164 426268 431509 467077 590486 639158 704041 783484 863018 934154 1028983 1180972 1278316 1385371 1408082 1726036 1868308 2024773 2057966 2770742 2816164 3303577 4049546 4115932 5541484 5609617 6072001 6607154 8099092 9152533 11219234 12144002 13214308 13376779 18009823 18305066 22438468 24288004 26322049 26753558 36019646 36610132 42946501 52644098 53507116 62767963 72039292 85893002 105288196 125535926 171786004 173898127 251071852 342186637 347796254 558304513 684373274 695592508 815983519 1116609026 1368746548 1631967038 2233218052 3263934076 10607785747 21215571494 42431142988