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10144125400 = 2352199925373
BaseRepresentation
bin10010111001010001…
…10001000111011000
3222011221221222000011
421130220301013120
5131233344003100
64354331451304
7506244433423
oct113450610730
928157858004
1010144125400
114336104612
121b712b6b34
13c58810486
146c335c9ba
153e587bbba
hex25ca311d8

10144125400 has 48 divisors (see below), whose sum is σ = 23597820000. Its totient is φ = 4055460480.

The previous prime is 10144125391. The next prime is 10144125421. The reversal of 10144125400 is 452144101.

It is a super-3 number, since 3×101441254003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387114 + ... + 412486.

It is an arithmetic number, because the mean of its divisors is an integer number (491621250).

Almost surely, 210144125400 is an apocalyptic number.

10144125400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144125400 is an abundant number, since it is smaller than the sum of its proper divisors (13453694600).

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

10144125400 is a wasteful number, since it uses less digits than its factorization.

10144125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27388 (or 27379 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 10144125400 its reverse (452144101), we get a palindrome (10596269501).

The spelling of 10144125400 in words is "ten billion, one hundred forty-four million, one hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1999 3998 7996 9995 15992 19990 25373 39980 49975 50746 79960 99950 101492 126865 199900 202984 253730 399800 507460 634325 1014920 1268650 2537300 5074600 50720627 101441254 202882508 253603135 405765016 507206270 1014412540 1268015675 2028825080 2536031350 5072062700 10144125400