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140113112223240 = 233251323895920249
BaseRepresentation
bin11111110110111010100000…
…010010000100111000001000
3200101002200102200211211122200
4133312322200102010320020
5121331103123212120430
61213555024122320200
741340560352233502
oct3766724022047010
9611080380754580
10140113112223240
114070a701121782
121386aa39959060
1360247c0925100
14268572196ad72
15112e9e4944460
hex7f6ea0484e08

140113112223240 has 288 divisors, whose sum is σ = 494358043725000. Its totient is φ = 34400714010624.

The previous prime is 140113112223239. The next prime is 140113112223269. The reversal of 140113112223240 is 42322211311041.

140113112223240 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 1 + 311 + 2 + 22 + 324 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3296250851364 + 136816861371876 = 1815558^2 + 11696874^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20706636 + ... + 26626884.

Almost surely, 2140113112223240 is an apocalyptic number.

140113112223240 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 140113112223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247179021862500).

140113112223240 is an abundant number, since it is smaller than the sum of its proper divisors (354244931501760).

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

140113112223240 is a wasteful number, since it uses less digits than its factorization.

140113112223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920681 (or 5920661 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 140113112223240 its reverse (42322211311041), we get a palindrome (182435323534281).

The spelling of 140113112223240 in words is "one hundred forty trillion, one hundred thirteen billion, one hundred twelve million, two hundred twenty-three thousand, two hundred forty".