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142354555044656 = 24177312799560149
BaseRepresentation
bin100000010111100010000000…
…101011111000001100110000
3200200000221222200221211111212
4200113202000223320030300
5122124314112042412111
61222432440233055252
741661530402661023
oct4027420053701460
9620027880854455
10142354555044656
11413a4256168899
1213b71324557528
136157c91450486
142721dd65671ba
15116ce7e38098b
hex817880af8330

142354555044656 has 80 divisors (see below), whose sum is σ = 296060336640000. Its totient is φ = 66067422142464.

The previous prime is 142354555044649. The next prime is 142354555044719. The reversal of 142354555044656 is 656440555453241.

It is a junction number, because it is equal to n+sod(n) for n = 142354555044595 and 142354555044604.

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, 253856870 + ... + 254417018.

It is an arithmetic number, because the mean of its divisors is an integer number (3700754208000).

Almost surely, 2142354555044656 is an apocalyptic number.

142354555044656 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 142354555044656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148030168320000).

142354555044656 is an abundant number, since it is smaller than the sum of its proper divisors (153705781595344).

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

142354555044656 is a wasteful number, since it uses less digits than its factorization.

142354555044656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573046 (or 573040 counting only the distinct ones).

The product of its (nonzero) digits is 172800000, while the sum is 59.

The spelling of 142354555044656 in words is "one hundred forty-two trillion, three hundred fifty-four billion, five hundred fifty-five million, forty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 292 584 1168 1241 2482 4964 9928 12799 19856 25598 51196 102392 204784 217583 435166 560149 870332 934327 1120298 1740664 1868654 2240596 3481328 3737308 4481192 7474616 8962384 9522533 14949232 15883559 19045066 31767118 38090132 40890877 63534236 76180264 81781754 127068472 152360528 163563508 254136944 327127016 654254032 695144909 1390289818 2780579636 5561159272 7169347051 11122318544 14338694102 28677388204 57354776408 114709552816 121878899867 243757799734 487515599468 523362334723 975031198936 1046724669446 1950062397872 2093449338892 4186898677784 8373797355568 8897159690291 17794319380582 35588638761164 71177277522328 142354555044656