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42129583800 = 23352371897729
BaseRepresentation
bin100111001111000111…
…100110111010111000
311000202002020121021120
4213033013212322320
51142240133140200
631204251105240
73021003360633
oct471707467270
9130662217246
1042129583800
111695a062957
1281b9142220
133c8532ab15
142079358c1a
1511689449a0
hex9cf1e6eb8

42129583800 has 96 divisors (see below), whose sum is σ = 134131556400. Its totient is φ = 10930913280.

The previous prime is 42129583789. The next prime is 42129583813. The reversal of 42129583800 is 838592124.

It is a super-2 number, since 2×421295838002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926665 + ... + 971064.

Almost surely, 242129583800 is an apocalyptic number.

42129583800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42129583800 is an abundant number, since it is smaller than the sum of its proper divisors (92001972600).

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

42129583800 is a wasteful number, since it uses less digits than its factorization.

42129583800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897785 (or 1897776 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 42129583800 in words is "forty-two billion, one hundred twenty-nine million, five hundred eighty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 1897729 3795458 5693187 7590916 9488645 11386374 15181832 18977290 22772748 28465935 37954580 45545496 47443225 56931870 70215973 75909160 94886450 113863740 140431946 142329675 189772900 210647919 227727480 280863892 284659350 351079865 379545800 421295838 561727784 569318700 702159730 842591676 1053239595 1138637400 1404319460 1685183352 1755399325 2106479190 2808638920 3510798650 4212958380 5266197975 7021597300 8425916760 10532395950 14043194600 21064791900 42129583800