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10144400200 = 23521119242689
BaseRepresentation
bin10010111001010011…
…10100001101001000
3222011222110220221221
421130221310031020
5131233431301300
64354341411424
7506246656534
oct113451641510
928158426857
1010144400200
114336282020
121b71409b74
13c588a858c
146c33d0bc4
153e58d331a
hex25ca74348

10144400200 has 96 divisors (see below), whose sum is σ = 27084204000. Its totient is φ = 3494707200.

The previous prime is 10144400159. The next prime is 10144400207. The reversal of 10144400200 is 200444101.

It is not an unprimeable number, because it can be changed into a prime (10144400207) 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, 79545 + ... + 163144.

It is an arithmetic number, because the mean of its divisors is an integer number (282127125).

Almost surely, 210144400200 is an apocalyptic number.

10144400200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144400200 is an abundant number, since it is smaller than the sum of its proper divisors (16939803800).

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

10144400200 is a wasteful number, since it uses less digits than its factorization.

10144400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242735 (or 242726 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10144400200 its reverse (200444101), we get a palindrome (10344844301).

The spelling of 10144400200 in words is "ten billion, one hundred forty-four million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 760 836 950 1045 1100 1672 1900 2090 2200 3800 4180 5225 8360 10450 20900 41800 242689 485378 970756 1213445 1941512 2426890 2669579 4611091 4853780 5339158 6067225 9222182 9707560 10678316 12134450 13347895 18444364 21356632 23055455 24268900 26695790 36888728 46110910 48537800 50722001 53391580 66739475 92221820 101444002 106783160 115277275 133478950 184443640 202888004 230554550 253610005 266957900 405776008 461109100 507220010 533915800 922218200 1014440020 1268050025 2028880040 2536100050 5072200100 10144400200