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232024121420232 = 233319831117284023
BaseRepresentation
bin110100110000011001010011…
…010101100010100111001000
31010102112021210221212202222010
4310300121103111202213020
5220402440400040421412
62141250224311255520
766605122012140321
oct6460312325424710
91112467727782863
10232024121420232
1167a2597175a229
12220339b497a5a0
139c60a1c461ccb
144142055265448
151bc572e81d33c
hexd306535629c8

232024121420232 has 128 divisors (see below), whose sum is σ = 599919764520960. Its totient is φ = 74703148335360.

The previous prime is 232024121420227. The next prime is 232024121420281.

232024121420232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 232024121420232.

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, 816778173 + ... + 817062195.

It is an arithmetic number, because the mean of its divisors is an integer number (4686873160320).

Almost surely, 2232024121420232 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 232024121420232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299959882260480).

232024121420232 is an abundant number, since it is smaller than the sum of its proper divisors (367895643100728).

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

232024121420232 is a wasteful number, since it uses less digits than its factorization.

232024121420232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286163 (or 286159 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 232024121420232 in words is "two hundred thirty-two trillion, twenty-four billion, one hundred twenty-one million, four hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 983 1117 1966 2234 2949 3351 3932 4468 5898 6702 7864 8936 11796 13404 23592 26808 30473 34627 60946 69254 91419 103881 121892 138508 182838 207762 243784 277016 284023 365676 415524 568046 731352 831048 852069 1098011 1136092 1704138 2196022 2272184 3294033 3408276 4392044 6588066 6816552 8784088 8804713 13176132 17609426 26352264 26414139 34038341 35218852 52828278 68076682 70437704 102115023 105656556 136153364 204230046 211313112 272306728 279194609 317253691 408460092 558389218 634507382 816920184 837583827 951761073 1116778436 1269014764 1675167654 1903522146 2233556872 2538029528 3350335308 3807044292 6700670616 7614088584 8655032879 9834864421 17310065758 19669728842 25965098637 29504593263 34620131516 39339457684 51930197274 59009186526 69240263032 78678915368 103860394548 118018373052 207720789096 236036746104 311860378253 623720756506 935581134759 1247441513012 1871162269518 2494883026024 3742324539036 7484649078072 9667671725843 19335343451686 29003015177529 38670686903372 58006030355058 77341373806744 116012060710116 232024121420232