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42204303432 = 233219291063831
BaseRepresentation
bin100111010011100100…
…101001000001001000
311000221021211202100100
4213103210221001020
51142413300202212
631215520405400
73022601442264
oct472344510110
9130837752310
1042204303432
1116998257915
12821a176860
133c9795c915
1420852490a4
1511702a3bdc
hex9d3929048

42204303432 has 96 divisors (see below), whose sum is σ = 124468344000. Its totient is φ = 12868087680.

The previous prime is 42204303419. The next prime is 42204303469. The reversal of 42204303432 is 23430340224.

42204303432 is a `hidden beast` number, since 4 + 220 + 4 + 3 + 0 + 3 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42204303396 and 42204303405.

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, 492244 + ... + 571587.

It is an arithmetic number, because the mean of its divisors is an integer number (1296545250).

Almost surely, 242204303432 is an apocalyptic number.

It is an amenable number.

42204303432 is an abundant number, since it is smaller than the sum of its proper divisors (82264040568).

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

42204303432 is a wasteful number, since it uses less digits than its factorization.

42204303432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063891 (or 1063884 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42204303432 its reverse (23430340224), we get a palindrome (65634643656).

The spelling of 42204303432 in words is "forty-two billion, two hundred four million, three hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 522 551 684 696 1044 1102 1368 1653 2088 2204 3306 4408 4959 6612 9918 13224 19836 39672 1063831 2127662 3191493 4255324 6382986 8510648 9574479 12765972 19148958 20212789 25531944 30851099 38297916 40425578 60638367 61702198 76595832 80851156 92553297 121276734 123404396 161702312 181915101 185106594 242553468 246808792 277659891 363830202 370213188 485106936 555319782 586170881 727660404 740426376 1110639564 1172341762 1455320808 1758512643 2221279128 2344683524 3517025286 4689367048 5275537929 7034050572 10551075858 14068101144 21102151716 42204303432