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142544245056 = 26323197163853
BaseRepresentation
bin1000010011000001001…
…1001001000101000000
3111121221011010220211120
42010300103021011000
54313412311320211
6145252305512240
713204244043243
oct2046023110500
9447834126746
10142544245056
11554a8568104
1223761942680
1310598a13245
146c834b925a
153a9428bd06
hex21304c9140

142544245056 has 112 divisors (see below), whose sum is σ = 395546177664. Its totient is φ = 45217908736.

The previous prime is 142544245037. The next prime is 142544245087. The reversal of 142544245056 is 650542445241.

It is a junction number, because it is equal to n+sod(n) for n = 142544244999 and 142544245017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788026 + ... + 951878.

Almost surely, 2142544245056 is an apocalyptic number.

142544245056 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 142544245056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197773088832).

142544245056 is an abundant number, since it is smaller than the sum of its proper divisors (253001932608).

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

142544245056 is a wasteful number, since it uses less digits than its factorization.

142544245056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164088 (or 164078 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 142544245056 in words is "one hundred forty-two billion, five hundred forty-four million, two hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 197 276 368 394 552 591 736 788 1104 1182 1472 1576 2208 2364 3152 4416 4531 4728 6304 9062 9456 12608 13593 18124 18912 27186 36248 37824 54372 72496 108744 144992 163853 217488 289984 327706 434976 491559 655412 869952 983118 1310824 1966236 2621648 3768619 3932472 5243296 7537238 7864944 10486592 11305857 15074476 15729888 22611714 30148952 31459776 32279041 45223428 60297904 64558082 90446856 96837123 120595808 129116164 180893712 193674246 241191616 258232328 361787424 387348492 516464656 723574848 742417943 774696984 1032929312 1484835886 1549393968 2065858624 2227253829 2969671772 3098787936 4454507658 5939343544 6197575872 8909015316 11878687088 17818030632 23757374176 35636061264 47514748352 71272122528 142544245056