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140258226240 = 26345112916963
BaseRepresentation
bin1000001010100000001…
…0101011000001000000
3111102000211121010120000
42002220002223001000
54244222101214430
6144233404320000
713063505152326
oct2025002530100
9442024533500
10140258226240
1154535126360
1223224243000
13102c3224aa2
146b07a49d16
1539ad72ce60
hex20a80ab040

140258226240 has 560 divisors, whose sum is σ = 563081302080. Its totient is φ = 32827576320.

The previous prime is 140258226239. The next prime is 140258226247. The reversal of 140258226240 is 42622852041.

140258226240 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 5 + 8 + 22 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140258226195 and 140258226204.

It is not an unprimeable number, because it can be changed into a prime (140258226247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8259999 + ... + 8276961.

Almost surely, 2140258226240 is an apocalyptic number.

140258226240 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 140258226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281540651040).

140258226240 is an abundant number, since it is smaller than the sum of its proper divisors (422823075840).

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

140258226240 is a wasteful number, since it uses less digits than its factorization.

140258226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17032 (or 17013 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 140258226240 in words is "one hundred forty billion, two hundred fifty-eight million, two hundred twenty-six thousand, two hundred forty".