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142366436316 = 22321313715714143
BaseRepresentation
bin1000010010010110110…
…0110110101111011100
3111121110202120022002200
42010211230312233130
54313031301430231
6145222514451500
713166654512356
oct2044554665734
9447422508080
10142366436316
1155417161835
1223712293b90
131056ac28880
146c67a320d6
153a83867be6
hex2125b36bdc

142366436316 has 144 divisors (see below), whose sum is σ = 392896218624. Its totient is φ = 43205280768.

The previous prime is 142366436287. The next prime is 142366436347. The reversal of 142366436316 is 613634663241.

142366436316 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 6 + 6 + 4 + 3 + 631 + 6 = 666.

142366436316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10059141 + ... + 10073283.

Almost surely, 2142366436316 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 142366436316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196448109312).

142366436316 is an abundant number, since it is smaller than the sum of its proper divisors (250529782308).

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

142366436316 is a wasteful number, since it uses less digits than its factorization.

142366436316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14460 (or 14455 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 142366436316 in words is "one hundred forty-two billion, three hundred sixty-six million, four hundred thirty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 157 234 274 314 411 468 471 548 628 822 942 1233 1413 1644 1781 1884 2041 2466 2826 3562 4082 4932 5343 5652 6123 7124 8164 10686 12246 14143 16029 18369 21372 21509 24492 28286 32058 36738 42429 43018 56572 64116 64527 73476 84858 86036 127287 129054 169716 183859 193581 254574 258108 279617 367718 387162 509148 551577 559234 735436 774324 838851 1103154 1118468 1654731 1677702 1937591 2206308 2220451 2516553 3309462 3355404 3875182 4440902 5033106 5812773 6618924 6661353 7750364 8881804 10066212 11625546 13322706 17438319 19984059 23251092 25188683 26645412 28865863 34876638 39968118 50377366 57731726 69753276 75566049 79936236 86597589 100754732 115463452 151132098 173195178 226698147 259792767 302264196 304201787 346390356 453396294 519585534 608403574 906792588 912605361 1039171068 1216807148 1825210722 2737816083 3650421444 3954623231 5475632166 7909246462 10951264332 11863869693 15818492924 23727739386 35591609079 47455478772 71183218158 142366436316