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232244412232144 = 24132324349086019
BaseRepresentation
bin110100110011100110011101…
…101100010011000111010000
31010110022100102101220111122211
4310303212131230103013100
5220420043024012412034
62141535335440041504
766630051016142344
oct6463463554230720
91113270371814584
10232244412232144
1168000336118774
122206a633903294
139c7872848a760
14414c9920cd624
151bcb324304d64
hexd3399db131d0

232244412232144 has 120 divisors (see below), whose sum is σ = 518352690769760. Its totient is φ = 100144901235456.

The previous prime is 232244412232073. The next prime is 232244412232163. The reversal of 232244412232144 is 441232214442232.

232244412232144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2322444122321442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232244412232097 and 232244412232106.

It is a congruent number.

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, 19811634 + ... + 29274385.

Almost surely, 2232244412232144 is an apocalyptic number.

It is an amenable number.

232244412232144 is an abundant number, since it is smaller than the sum of its proper divisors (286108278537616).

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

232244412232144 is a wasteful number, since it uses less digits than its factorization.

232244412232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49086129 (or 49086100 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

Adding to 232244412232144 its reverse (441232214442232), we get a palindrome (673476626674376).

The spelling of 232244412232144 in words is "two hundred thirty-two trillion, two hundred forty-four billion, four hundred twelve million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 43 46 52 86 92 104 172 184 208 299 344 368 529 559 598 688 989 1058 1118 1196 1978 2116 2236 2392 3956 4232 4472 4784 6877 7912 8464 8944 12857 13754 15824 22747 25714 27508 45494 51428 55016 90988 102856 110032 181976 205712 295711 363952 591422 1182844 2365688 4731376 49086019 98172038 196344076 392688152 638118247 785376304 1128978437 1276236494 2110698817 2257956874 2552472988 4221397634 4515913748 5104945976 8442795268 9031827496 10209891952 14676719681 16885590536 18063654992 25966504051 27439084621 29353439362 33771181072 48546072791 51933008102 54878169242 58706878724 97092145582 103866016204 109756338484 117413757448 194184291164 207732032408 219512676968 234827514896 337564552663 388368582328 415464064816 439025353936 631098946283 675129105326 776737164656 1116559674193 1262197892566 1350258210652 2233119348386 2524395785132 2700516421304 4466238696772 5048791570264 5401032842608 8932477393544 10097583140528 14515275764509 17864954787088 29030551529018 58061103058036 116122206116072 232244412232144