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42312501200 = 2452552719139
BaseRepresentation
bin100111011010000001…
…011000011111010000
311001012211102202210002
4213122001120133100
51143124000014300
631234343425132
73025354216544
oct473201303720
9131184382702
1042312501200
1116a43338462
12824a4551a8
133cb41b3878
142095771a24
151179a275d5
hex9da0587d0

42312501200 has 60 divisors (see below), whose sum is σ = 101679489120. Its totient is φ = 16921054080.

The previous prime is 42312501151. The next prime is 42312501239. The reversal of 42312501200 is 210521324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2201231 + ... + 2220369.

It is an arithmetic number, because the mean of its divisors is an integer number (1694658152).

Almost surely, 242312501200 is an apocalyptic number.

42312501200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42312501200 is an abundant number, since it is smaller than the sum of its proper divisors (59366987920).

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

42312501200 is a wasteful number, since it uses less digits than its factorization.

42312501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24684 (or 24673 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 42312501200 in words is "forty-two billion, three hundred twelve million, five hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5527 11054 19139 22108 27635 38278 44216 55270 76556 88432 95695 110540 138175 153112 191390 221080 276350 306224 382780 442160 478475 552700 765560 956950 1105400 1531120 1913900 2210800 3827800 7655600 105781253 211562506 423125012 528906265 846250024 1057812530 1692500048 2115625060 2644531325 4231250120 5289062650 8462500240 10578125300 21156250600 42312501200