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142355051352656 = 24194497971308563
BaseRepresentation
bin100000010111100010011110…
…010001001001001001010000
3200200001000021021211220002122
4200113202132101021021100
5122124321121121241111
61222433001402433412
741661545610350102
oct4027423621111120
9620030237756078
10142355051352656
11413a449033339a
1213b71442802868
136158040211c4c
14272204243b572
15116ceacc19cdb
hex81789e449250

142355051352656 has 80 divisors (see below), whose sum is σ = 291341306088000. Its totient is φ = 67196689588224.

The previous prime is 142355051352593. The next prime is 142355051352697. The reversal of 142355051352656 is 656253150553241.

It is a junction number, because it is equal to n+sod(n) for n = 142355051352598 and 142355051352607.

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, 108133031 + ... + 109441593.

It is an arithmetic number, because the mean of its divisors is an integer number (3641766326100).

Almost surely, 2142355051352656 is an apocalyptic number.

142355051352656 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 142355051352656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145670653044000).

142355051352656 is an abundant number, since it is smaller than the sum of its proper divisors (148986254735344).

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

142355051352656 is a wasteful number, since it uses less digits than its factorization.

142355051352656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309836 (or 1309830 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 53.

The spelling of 142355051352656 in words is "one hundred forty-two trillion, three hundred fifty-five billion, fifty-one million, three hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 449 797 898 1594 1796 3188 3592 6376 7184 8531 12752 15143 17062 30286 34124 60572 68248 121144 136496 242288 357853 715706 1308563 1431412 2617126 2862824 5234252 5725648 6799207 10468504 13598414 20937008 24862697 27196828 49725394 54393656 99450788 108787312 198901576 397803152 587544787 1042924711 1175089574 2085849422 2350179148 4171698844 4700358296 8343397688 9400716592 11163350953 16686795376 19815569509 22326701906 39631139018 44653403812 79262278036 89306807624 158524556072 178613615248 317049112144 468273195239 936546390478 1873092780956 3746185561912 7492371123824 8897190709541 17794381419082 35588762838164 71177525676328 142355051352656