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142302657104 = 24232922758741
BaseRepresentation
bin1000010010000111100…
…1100011101001010000
3111121022022112222110122
42010201321203221100
54312413440011404
6145212315445412
713165251425216
oct2044171435120
9447268488418
10142302657104
115539415a543
12236b4a56868
131055a9576aa
146c5d38ccb6
153a7ce6a3be
hex2121e63a50

142302657104 has 80 divisors (see below), whose sum is σ = 298935688320. Its totient is φ = 65420382720.

The previous prime is 142302657067. The next prime is 142302657139. The reversal of 142302657104 is 401756203241.

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, 2393174 + ... + 2451914.

It is an arithmetic number, because the mean of its divisors is an integer number (3736696104).

Almost surely, 2142302657104 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 142302657104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149467844160).

142302657104 is an abundant number, since it is smaller than the sum of its proper divisors (156633031216).

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

142302657104 is a wasteful number, since it uses less digits than its factorization.

142302657104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59028 (or 59022 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 142302657104 in words is "one hundred forty-two billion, three hundred two million, six hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 227 232 368 454 464 667 908 1334 1816 2668 3632 5221 5336 6583 10442 10672 13166 20884 26332 41768 52664 58741 83536 105328 117482 151409 234964 302818 469928 605636 939856 1211272 1351043 1703489 2422544 2702086 3406978 5404172 6813956 10808344 13334207 13627912 21616688 26668414 27255824 39180247 53336828 78360494 106673656 156720988 213347312 306686761 313441976 386692003 613373522 626883952 773384006 1226747044 1546768012 2453494088 3093536024 4906988176 6187072048 8893916069 17787832138 35575664276 71151328552 142302657104