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14322384461412 = 2234614611571953
BaseRepresentation
bin1101000001101011000010…
…1000110101111001100100
31212201012120121011102220000
43100122300220311321210
53334124220410231122
650243340152541300
73005521016145366
oct320326050657144
955635517142800
1014322384461412
1146220a8710075
1217339356b1830
137cb7974655a1
143772c842cd36
1519c8588300ac
hexd06b0a35e64

14322384461412 has 120 divisors (see below), whose sum is σ = 38137911668472. Its totient is φ = 4685674521600.

The previous prime is 14322384461321. The next prime is 14322384461449. The reversal of 14322384461412 is 21416448322341.

14322384461412 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 23 + 8 + 4 + 4 + 614 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22687589376 + 14299696872036 = 150624^2 + 3781494^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8325228 + ... + 9897180.

Almost surely, 214322384461412 is an apocalyptic number.

14322384461412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14322384461412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19068955834236).

14322384461412 is an abundant number, since it is smaller than the sum of its proper divisors (23815527207060).

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

14322384461412 is a wasteful number, since it uses less digits than its factorization.

14322384461412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572491 (or 1572480 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 14322384461412 in words is "fourteen trillion, three hundred twenty-two billion, three hundred eighty-four million, four hundred sixty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 461 549 732 922 1098 1383 1647 1844 2196 2766 3294 4149 4941 5532 6588 8298 9882 12447 16596 19764 24894 28121 37341 49788 56242 74682 84363 112484 149364 168726 253089 337452 506178 759267 1012356 1518534 1571953 2277801 3037068 3143906 4555602 4715859 6287812 9111204 9431718 14147577 18863436 28295154 42442731 56590308 84885462 95889133 127328193 169770924 191778266 254656386 287667399 383556532 509312772 575334798 724670333 863002197 1150669596 1449340666 1726004394 2174010999 2589006591 2898681332 3452008788 4348021998 5178013182 6522032997 7767019773 8696043996 10356026364 13044065994 15534039546 19566098991 26088131988 31068079092 39132197982 44204890313 58698296973 78264395964 88409780626 117396593946 132614670939 176819561252 234793187892 265229341878 397844012817 530458683756 795688025634 1193532038451 1591376051268 2387064076902 3580596115353 4774128153804 7161192230706 14322384461412