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142249135600 = 245211132486873
BaseRepresentation
bin1000010001111010110…
…1011000110111110000
3111121011120211210202201
42010132231120313300
54312311234314400
6145203124352544
713164031462645
oct2043655306760
9447146753681
10142249135600
1155366a23aa0
122369ab45754
131054c838470
146c56219dcc
153a783e706a
hex211eb58df0

142249135600 has 120 divisors (see below), whose sum is σ = 401500833552. Its totient is φ = 47747942400.

The previous prime is 142249135597. The next prime is 142249135601. The reversal of 142249135600 is 6531942241.

It is a happy number.

142249135600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142249135600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142249135601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1186237 + ... + 1300636.

Almost surely, 2142249135600 is an apocalyptic number.

142249135600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142249135600 is an abundant number, since it is smaller than the sum of its proper divisors (259251697952).

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

142249135600 is a wasteful number, since it uses less digits than its factorization.

142249135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486915 (or 2486904 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 142249135600 in words is "one hundred forty-two billion, two hundred forty-nine million, one hundred thirty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 130 143 176 200 208 220 260 275 286 325 400 440 520 550 572 650 715 880 1040 1100 1144 1300 1430 2200 2288 2600 2860 3575 4400 5200 5720 7150 11440 14300 28600 57200 2486873 4973746 9947492 12434365 19894984 24868730 27355603 32329349 39789968 49737460 54711206 62171825 64658698 99474920 109422412 124343650 129317396 136778015 161646745 198949840 218844824 248687300 258634792 273556030 323293490 355622839 437689648 497374600 517269584 547112060 646586980 683890075 711245678 808233725 994749200 1094224120 1293173960 1367780150 1422491356 1616467450 1778114195 2188448240 2586347920 2735560300 2844982712 3232934900 3556228390 5471120600 5689965424 6465869800 7112456780 8890570975 10942241200 12931739600 14224913560 17781141950 28449827120 35562283900 71124567800 142249135600