Search a number
-
+
140556313497600 = 212385271121319
BaseRepresentation
bin11111111101010111010001…
…001000110001000000000000
3200102200001102011020100000000
4133331113101020301000000
5121410333312223410400
61214534402400000000
741414600323013640
oct3775272110610000
9612601364210000
10140556313497600
1140870663745a00
1213920909000000
13605753260c590
14269cd67538520
15113b2d3dc5600
hex7fd5d1231000

140556313497600 has 8424 divisors, whose sum is σ = 744453388253120. Its totient is φ = 25540912742400.

The previous prime is 140556313497497. The next prime is 140556313497623. The reversal of 140556313497600 is 6794313655041.

140556313497600 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 563 + 1 + 3 + 4 + 9 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8424).

It is a super-2 number, since 2×1405563134976002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 7397700710391 + ... + 7397700710409.

Almost surely, 2140556313497600 is an apocalyptic number.

140556313497600 is a gapful number since it is divisible by the number (10) 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 140556313497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372226694126560).

140556313497600 is an abundant number, since it is smaller than the sum of its proper divisors (603897074755520).

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

140556313497600 is an equidigital number, since it uses as much as digits as its factorization.

140556313497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 140556313497600 in words is "one hundred forty trillion, five hundred fifty-six billion, three hundred thirteen million, four hundred ninety-seven thousand, six hundred".