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42031524300 = 22352712278693
BaseRepresentation
bin100111001001010001…
…100010100111001100
311000111020201122221020
4213021101202213030
51142040032234200
631150425234140
73015403030113
oct471121424714
9130436648836
1042031524300
1116909777347
128190332950
133c6ac1664c
14206a310c7a
151160024ea0
hex9c94629cc

42031524300 has 144 divisors (see below), whose sum is σ = 123881571072. Its totient is φ = 11000595200.

The previous prime is 42031524263. The next prime is 42031524323. The reversal of 42031524300 is 342513024.

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, 4830754 + ... + 4839446.

It is an arithmetic number, because the mean of its divisors is an integer number (860288688).

Almost surely, 242031524300 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 42031524300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61940785536).

42031524300 is an abundant number, since it is smaller than the sum of its proper divisors (81850046772).

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

42031524300 is a wasteful number, since it uses less digits than its factorization.

42031524300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 9001 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 42031524300 in words is "forty-two billion, thirty-one million, five hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 227 284 300 355 426 454 681 710 852 908 1065 1135 1362 1420 1775 2130 2270 2724 3405 3550 4260 4540 5325 5675 6810 7100 8693 10650 11350 13620 16117 17025 17386 21300 22700 26079 32234 34050 34772 43465 48351 52158 64468 68100 80585 86930 96702 104316 130395 161170 173860 193404 217325 241755 260790 322340 402925 434650 483510 521580 617203 651975 805850 869300 967020 1208775 1234406 1303950 1611700 1851609 1973311 2417550 2468812 2607900 3086015 3703218 3946622 4835100 5919933 6172030 7406436 7893244 9258045 9866555 11839866 12344060 15430075 18516090 19733110 23679732 29599665 30860150 37032180 39466220 46290225 49332775 59199330 61720300 92580450 98665550 118398660 140105081 147998325 185160900 197331100 280210162 295996650 420315243 560420324 591993300 700525405 840630486 1401050810 1681260972 2101576215 2802101620 3502627025 4203152430 7005254050 8406304860 10507881075 14010508100 21015762150 42031524300