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112414214344432 = 247111352973132499
BaseRepresentation
bin11001100011110101111001…
…010100000100111011110000
3112202000200201212202111221011
4121203311321110010323300
5104213243302333010212
61035030213243440304
732451442012044220
oct3143657124047360
9482020655674834
10112414214344432
1132900667401770
1210736764b26094
134a957cbcc0150
141da8c3c704080
15cee241e5b4a7
hex663d79504ef0

112414214344432 has 160 divisors (see below), whose sum is σ = 292441907520000. Its totient is φ = 40427620162560.

The previous prime is 112414214344409. The next prime is 112414214344441. The reversal of 112414214344432 is 234443412414211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848349319 + ... + 848481817.

It is an arithmetic number, because the mean of its divisors is an integer number (1827761922000).

Almost surely, 2112414214344432 is an apocalyptic number.

It is an amenable number.

112414214344432 is an abundant number, since it is smaller than the sum of its proper divisors (180027693175568).

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

112414214344432 is a wasteful number, since it uses less digits than its factorization.

112414214344432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185511 (or 185505 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

Adding to 112414214344432 its reverse (234443412414211), we get a palindrome (346857626758643).

The spelling of 112414214344432 in words is "one hundred twelve trillion, four hundred fourteen billion, two hundred fourteen million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016 52973 105946 132499 211892 264998 370811 423784 529996 582703 688649 741622 847568 927493 1059992 1165406 1377298 1457489 1483244 1722487 1854986 2119984 2330812 2754596 2914978 2966488 3444974 3709972 4078921 4661624 4820543 5509192 5829956 5932976 6889948 7419944 7575139 8157842 9323248 9641086 10202423 11018384 11659912 12057409 13779896 14839888 15150278 16315684 18947357 19282172 20404846 23319824 24114818 27559792 30300556 32631368 37894714 38564344 40809692 48229636 53025973 60601112 65262736 75789428 77128688 81619384 96459272 106051946 121202224 132631499 151578856 163238768 192918544 212103892 265262998 303157712 424207784 530525996 848415568 1061051992 2122103984 7018869527 14037739054 28075478108 49132086689 56150956216 77207564797 91245303851 98264173378 112301912432 154415129594 182490607702 196528346756 308830259188 364981215404 393056693512 540452953579 617660518376 638717126957 729962430808 786113387024 1003698342361 1080905907158 1235321036752 1277434253914 1459924861616 2007396684722 2161811814316 2554868507828 4014793369444 4323623628632 5109737015656 7025888396527 8029586738888 8647247257264 10219474031312 14051776793054 16059173477776 28103553586108 56207107172216 112414214344432