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144038828100 = 223523712976471
BaseRepresentation
bin1000011000100101100…
…0100001100001000100
3111202210022110121100010
42012021120201201010
54324442414444400
6150100455550220
713256262560226
oct2061130414104
9452708417303
10144038828100
11560a5188502
1223aba38b370
13107765599cb
146d85bac416
153b305b6450
hex2189621844

144038828100 has 72 divisors (see below), whose sum is σ = 428015952448. Its totient is φ = 37372233600.

The previous prime is 144038828083. The next prime is 144038828149. The reversal of 144038828100 is 1828830441.

It is a happy number.

It is a super-2 number, since 2×1440388281002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6477136 + ... + 6499335.

Almost surely, 2144038828100 is an apocalyptic number.

144038828100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144038828100 is an abundant number, since it is smaller than the sum of its proper divisors (283977124348).

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

144038828100 is a wasteful number, since it uses less digits than its factorization.

144038828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12976525 (or 12976518 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 144038828100 in words is "one hundred forty-four billion, thirty-eight million, eight hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 12976471 25952942 38929413 51905884 64882355 77858826 129764710 155717652 194647065 259529420 324411775 389294130 480129427 648823550 778588260 960258854 973235325 1297647100 1440388281 1920517708 1946470650 2400647135 2880776562 3892941300 4801294270 5761553124 7201941405 9602588540 12003235675 14403882810 24006471350 28807765620 36009707025 48012942700 72019414050 144038828100