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10144127540 = 2251273993751
BaseRepresentation
bin10010111001010001…
…10001101000110100
3222011221222001221102
421130220301220310
5131233344040130
64354331505232
7506244442601
oct113450615064
928157861842
1010144127540
114336106188
121b712b8218
13c58811441
146c335d6a8
153e587c645
hex25ca31a34

10144127540 has 24 divisors (see below), whose sum is σ = 21470410752. Its totient is φ = 4025700000.

The previous prime is 10144127527. The next prime is 10144127573. The reversal of 10144127540 is 4572144101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1994336 + ... + 1999415.

It is an arithmetic number, because the mean of its divisors is an integer number (894600448).

Almost surely, 210144127540 is an apocalyptic number.

10144127540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144127540 is an abundant number, since it is smaller than the sum of its proper divisors (11326283212).

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

10144127540 is a wasteful number, since it uses less digits than its factorization.

10144127540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993887 (or 3993885 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The spelling of 10144127540 in words is "ten billion, one hundred forty-four million, one hundred twenty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1270 2540 3993751 7987502 15975004 19968755 39937510 79875020 507206377 1014412754 2028825508 2536031885 5072063770 10144127540