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10144530004 = 2272776532003
BaseRepresentation
bin10010111001010100…
…10011111001010100
3222011222201112000111
421130222103321110
5131233444430004
64354344252404
7506251040140
oct113452237124
928158645014
1010144530004
1143363605a4
121b71471104
13c5892269b
146c3426220
153e590ba04
hex25ca93e54

10144530004 has 48 divisors (see below), whose sum is σ = 20403669888. Its totient is φ = 4323166848.

The previous prime is 10144529981. The next prime is 10144530023. The reversal of 10144530004 is 40003544101.

10144530004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101445300042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5063667 + ... + 5065669.

It is an arithmetic number, because the mean of its divisors is an integer number (425076456).

Almost surely, 210144530004 is an apocalyptic number.

10144530004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10144530004 is an abundant number, since it is smaller than the sum of its proper divisors (10259139884).

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

10144530004 is a wasteful number, since it uses less digits than its factorization.

10144530004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 10144530004 in words is "ten billion, one hundred forty-four million, five hundred thirty thousand, four".

Divisors: 1 2 4 7 14 28 277 554 653 1108 1306 1939 2003 2612 3878 4006 4571 7756 8012 9142 14021 18284 28042 56084 180881 361762 554831 723524 1109662 1266167 1307959 2219324 2532334 2615918 3883817 5064668 5231836 7767634 9155713 15535268 18311426 36622852 362304643 724609286 1449218572 2536132501 5072265002 10144530004