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230442112440 = 233252321210051
BaseRepresentation
bin1101011010011101101…
…0111001010110111000
3211000210220111020010100
43112213122321112320
512233421140044230
6253510314115400
722435366431261
oct3264732712670
9730726436110
10230442112440
1189803623911
12387b271bb60
131896617ba67
14b221133968
155edacce660
hex35a76b95b8

230442112440 has 144 divisors (see below), whose sum is σ = 782915744520. Its totient is φ = 58779388800.

The previous prime is 230442112423. The next prime is 230442112441. The reversal of 230442112440 is 44211244032.

230442112440 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 4 + 211 + 2 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230442112441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 414586 + ... + 795465.

Almost surely, 2230442112440 is an apocalyptic number.

230442112440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230442112440 is an abundant number, since it is smaller than the sum of its proper divisors (552473632080).

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

230442112440 is a wasteful number, since it uses less digits than its factorization.

230442112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210114 (or 1210084 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 230442112440 its reverse (44211244032), we get a palindrome (274653356472).

The spelling of 230442112440 in words is "two hundred thirty billion, four hundred forty-two million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 529 552 690 828 920 1035 1058 1380 1587 1656 2070 2116 2645 2760 3174 4140 4232 4761 5290 6348 7935 8280 9522 10580 12696 15870 19044 21160 23805 31740 38088 47610 63480 95220 190440 1210051 2420102 3630153 4840204 6050255 7260306 9680408 10890459 12100510 14520612 18150765 21780918 24201020 27831173 29041224 36301530 43561836 48402040 54452295 55662346 72603060 83493519 87123672 108904590 111324692 139155865 145206120 166987038 217809180 222649384 250480557 278311730 333974076 417467595 435618360 500961114 556623460 640116979 667948152 834935190 1001922228 1113246920 1252402785 1280233958 1669870380 1920350937 2003844456 2504805570 2560467916 3200584895 3339740760 3840701874 5009611140 5120935832 5761052811 6401169790 7681403748 9601754685 10019222280 11522105622 12802339580 15362807496 19203509370 23044211244 25604679160 28805264055 38407018740 46088422488 57610528110 76814037480 115221056220 230442112440