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10140333444 = 22324322692887
BaseRepresentation
bin10010111000110100…
…10011010110000100
3222011200211022102100
421130122103112010
5131231411132234
64354114312100
7506200261233
oct113432232604
928150738370
1010140333444
114333a5466a
121b6bb88630
13c57ab3507
146c2a52b1a
153e537d399
hex25c693584

10140333444 has 72 divisors (see below), whose sum is σ = 26249263040. Its totient is φ = 3298905792.

The previous prime is 10140333443. The next prime is 10140333457. The reversal of 10140333444 is 44433304101.

It is a super-2 number, since 2×101403334442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10140333443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3510969 + ... + 3513855.

Almost surely, 210140333444 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 10140333444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124631520).

10140333444 is an abundant number, since it is smaller than the sum of its proper divisors (16108929596).

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

10140333444 is a wasteful number, since it uses less digits than its factorization.

10140333444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10140333444 its reverse (44433304101), we get a palindrome (54573637545).

The spelling of 10140333444 in words is "ten billion, one hundred forty million, three hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 2269 2887 4538 5774 6807 8661 9076 11548 13614 17322 20421 25983 27228 34644 40842 51966 81684 97567 103932 124141 195134 248282 292701 372423 390268 496564 585402 744846 878103 1117269 1170804 1489692 1756206 2234538 3512412 4469076 6550603 13101206 19651809 26202412 39303618 58955427 78607236 117910854 235821708 281675929 563351858 845027787 1126703716 1690055574 2535083361 3380111148 5070166722 10140333444