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142481725808256 = 2732149830080897
BaseRepresentation
bin100000011001011000011100…
…101001110101111010000000
3200200111010020110011222102100
4200121120130221311322000
5122133410033301331011
61223011111243550400
742003651663431532
oct4031303451657200
9620433213158370
10142481725808256
114144318480081a
1213b91ab582b400
136166c7a12c513
14272821bd9b852
151171423b31d56
hex81961ca75e80

142481725808256 has 96 divisors (see below), whose sum is σ = 412757726530500. Its totient is φ = 47175157481472.

The previous prime is 142481725808207. The next prime is 142481725808281. The reversal of 142481725808256 is 652808527184241.

142481725808256 is a `hidden beast` number, since 1 + 4 + 2 + 48 + 1 + 7 + 2 + 580 + 8 + 2 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103905403560000 + 38576322248256 = 10193400^2 + 6210984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 142481725808193 and 142481725808202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414868801 + ... + 415212096.

Almost surely, 2142481725808256 is an apocalyptic number.

142481725808256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142481725808256 is an abundant number, since it is smaller than the sum of its proper divisors (270276000722244).

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

142481725808256 is a wasteful number, since it uses less digits than its factorization.

142481725808256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830081066 (or 830081051 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 142481725808256 in words is "one hundred forty-two trillion, four hundred eighty-one billion, seven hundred twenty-five million, eight hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 288 298 384 447 576 596 894 1152 1192 1341 1788 2384 2682 3576 4768 5364 7152 9536 10728 14304 19072 21456 28608 42912 57216 85824 171648 830080897 1660161794 2490242691 3320323588 4980485382 6640647176 7470728073 9960970764 13281294352 14941456146 19921941528 26562588704 29882912292 39843883056 53125177408 59765824584 79687766112 106250354816 119531649168 123682053653 159375532224 239063298336 247364107306 318751064448 371046160959 478126596672 494728214612 742092321918 956253193344 989456429224 1113138482877 1484184643836 1978912858448 2226276965754 2968369287672 3957825716896 4452553931508 5936738575344 7915651433792 8905107863016 11873477150688 15831302867584 17810215726032 23746954301376 35620431452064 47493908602752 71240862904128 142481725808256