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140261287008 = 25319126572879
BaseRepresentation
bin1000001010100000111…
…0010110010001100000
3111102001001100122010210
42002220032112101200
54244223342141013
6144233554054120
713063543161003
oct2025016262140
9442031318123
10140261287008
1154536926a17
122322527a340
13102c3a56cab
146b0820553a
1539adb34cc3
hex20a8396460

140261287008 has 96 divisors (see below), whose sum is σ = 370381455360. Its totient is φ = 46475325440.

The previous prime is 140261287007. The next prime is 140261287039. The reversal of 140261287008 is 800782162041.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140261287007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48717313 + ... + 48720191.

It is an arithmetic number, because the mean of its divisors is an integer number (3858140160).

Almost surely, 2140261287008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140261287008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185190727680).

140261287008 is an abundant number, since it is smaller than the sum of its proper divisors (230120168352).

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

140261287008 is a wasteful number, since it uses less digits than its factorization.

140261287008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 140261287008 in words is "one hundred forty billion, two hundred sixty-one million, two hundred eighty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 2657 2879 3056 4584 5314 5758 6112 7971 8637 9168 10628 11516 15942 17274 18336 21256 23032 31884 34548 42512 46064 63768 69096 85024 92128 127536 138192 255072 276384 507487 549889 1014974 1099778 1522461 1649667 2029948 2199556 3044922 3299334 4059896 4399112 6089844 6598668 7649503 8119792 8798224 12179688 13197336 15299006 16239584 17596448 22948509 24359376 26394672 30598012 45897018 48718752 52789344 61196024 91794036 122392048 183588072 244784096 367176144 734352288 1461055073 2922110146 4383165219 5844220292 8766330438 11688440584 17532660876 23376881168 35065321752 46753762336 70130643504 140261287008