Search a number
-
+
142440306656 = 25171631679619
BaseRepresentation
bin1000010010101000011…
…0101001011111100000
3111121122220120022011012
42010222012221133200
54313204204303111
6145234114040052
713201542425654
oct2045206513740
9447586508135
10142440306656
11554549266aa
1223732b79028
1310580320c2b
146c73780a64
153a8a0aa48b
hex212a1a97e0

142440306656 has 96 divisors (see below), whose sum is σ = 300566972160. Its totient is φ = 66213697536.

The previous prime is 142440306583. The next prime is 142440306691. The reversal of 142440306656 is 656603044241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14803415 + ... + 14813033.

It is an arithmetic number, because the mean of its divisors is an integer number (3130905960).

Almost surely, 2142440306656 is an apocalyptic number.

142440306656 is a gapful number since it is divisible by the number (16) 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 142440306656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150283486080).

142440306656 is an abundant number, since it is smaller than the sum of its proper divisors (158126665504).

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

142440306656 is a wasteful number, since it uses less digits than its factorization.

142440306656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9976 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 142440306656 in words is "one hundred forty-two billion, four hundred forty million, three hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 163 167 272 326 334 544 652 668 1304 1336 2608 2672 2771 2839 5216 5344 5542 5678 9619 11084 11356 19238 22168 22712 27221 38476 44336 45424 54442 76952 88672 90848 108884 153904 163523 217768 307808 327046 435536 462757 654092 871072 925514 1308184 1567897 1606373 1851028 2616368 3135794 3212746 3702056 5232736 6271588 6425492 7404112 12543176 12850984 14808224 25086352 25701968 26654249 27308341 50172704 51403936 53308498 54616682 106616996 109233364 213233992 218466728 261838799 426467984 436933456 523677598 852935968 873866912 1047355196 2094710392 4189420784 4451259583 8378841568 8902519166 17805038332 35610076664 71220153328 142440306656