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142365201426656 = 25134156533147647
BaseRepresentation
bin100000010111101011111011…
…010000100110100011100000
3200200001222110200000002001022
4200113223323100212203200
5122130002413031123111
61222441400510025012
741662355256510425
oct4027537320464340
9620058420002038
10142365201426656
11413a88198301aa
1213b733b5aa8168
136158c9a025bb0
1427227264a7d4c
15116d3a3d6e2db
hex817afb4268e0

142365201426656 has 96 divisors (see below), whose sum is σ = 309211158993408. Its totient is φ = 64102837800960.

The previous prime is 142365201426653. The next prime is 142365201426667. The reversal of 142365201426656 is 656624102563241.

It is a junction number, because it is equal to n+sod(n) for n = 142365201426598 and 142365201426607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142365201426653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964153025 + ... + 964300671.

It is an arithmetic number, because the mean of its divisors is an integer number (3220949572848).

Almost surely, 2142365201426656 is an apocalyptic number.

142365201426656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142365201426656 is an abundant number, since it is smaller than the sum of its proper divisors (166845957566752).

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

142365201426656 is a wasteful number, since it uses less digits than its factorization.

142365201426656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204244 (or 204236 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 53.

Adding to 142365201426656 its reverse (656624102563241), we get a palindrome (798989303989897).

The spelling of 142365201426656 in words is "one hundred forty-two trillion, three hundred sixty-five billion, two hundred one million, four hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 8528 17056 56533 113066 147647 226132 295294 452264 590588 734929 904528 1181176 1469858 1809056 1919411 2317853 2362352 2939716 3838822 4635706 4724704 5879432 6053527 7677644 9271412 11758864 12107054 15355288 18542824 23517728 24214108 30132089 30710576 37085648 48428216 60264178 61421152 74171296 78695851 96856432 120528356 157391702 193712864 241056712 314783404 482113424 629566808 964226848 1259133616 2518267232 8346927851 16693855702 33387711404 66775422808 108510062063 133550845616 217020124126 267101691232 342224041891 434040248252 684448083782 868080496504 1368896167564 1736160993008 2737792335128 3472321986016 4448912544583 5475584670256 8897825089166 10951169340512 17795650178332 35591300356664 71182600713328 142365201426656