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232014311412 = 2231321913943319
BaseRepresentation
bin1101100000010100100…
…0010110111111110100
3211011212110212012122220
43120011020112333310
512300131130431122
6254330315522340
722522350051612
oct3300510267764
9734773765586
10232014311412
118a440037204
1238b711593b0
1318b56acc700
14b32dc6c6b2
15607dd3b25c
hex3605216ff4

232014311412 has 144 divisors (see below), whose sum is σ = 621520704000. Its totient is φ = 67143593088.

The previous prime is 232014311359. The next prime is 232014311443. The reversal of 232014311412 is 214113410232.

232014311412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5334289 + ... + 5377607.

It is an arithmetic number, because the mean of its divisors is an integer number (4316116000).

Almost surely, 2232014311412 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 232014311412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310760352000).

232014311412 is an abundant number, since it is smaller than the sum of its proper divisors (389506392588).

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

232014311412 is a wasteful number, since it uses less digits than its factorization.

232014311412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43510 (or 43495 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 232014311412 its reverse (214113410232), we get a palindrome (446127721644).

The spelling of 232014311412 in words is "two hundred thirty-two billion, fourteen million, three hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 139 156 169 228 247 278 338 417 494 507 556 676 741 834 988 1014 1482 1668 1807 2028 2641 2964 3211 3614 5282 5421 6422 7228 7923 9633 10564 10842 12844 15846 19266 21684 23491 31692 34333 38532 43319 46982 68666 70473 86638 93964 102999 129957 137332 140946 173276 205998 259914 281892 411996 446329 519828 563147 823061 892658 1126294 1338987 1646122 1689441 1785316 2252588 2469183 2677974 3292244 3378882 4938366 5355948 6021341 6757764 7320911 9876732 10699793 12042682 14641822 18064023 21399586 21962733 24085364 29283644 32099379 36128046 42799172 43925466 64198758 72256092 78277433 87850932 114405479 128397516 139097309 156554866 228810958 234832299 278194618 313109732 343216437 417291927 457621916 469664598 556389236 686432874 834583854 939329196 1017606629 1372865748 1487271227 1669167708 2035213258 2974542454 3052819887 4070426516 4461813681 5949084908 6105639774 8923627362 12211279548 17847254724 19334525951 38669051902 58003577853 77338103804 116007155706 232014311412