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142326187440 = 24354561130021
BaseRepresentation
bin1000010010001101001…
…1010100010110110000
3111121100221211110000120
42010203103110112300
54312441000444230
6145214520050240
713165655426613
oct2044323242660
9447327743016
10142326187440
11553a64711a8
1223700903980
13105627a5978
146c6255617a
153a80067310
hex21234d45b0

142326187440 has 80 divisors (see below), whose sum is σ = 441311310816. Its totient is φ = 37945036800.

The previous prime is 142326187429. The next prime is 142326187453. The reversal of 142326187440 is 44781623241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 142326187392 and 142326187401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1029630 + ... + 1159650.

Almost surely, 2142326187440 is an apocalyptic number.

142326187440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142326187440 is an abundant number, since it is smaller than the sum of its proper divisors (298985123376).

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

142326187440 is a wasteful number, since it uses less digits than its factorization.

142326187440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134598 (or 134592 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 142326187440 in words is "one hundred forty-two billion, three hundred twenty-six million, one hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4561 9122 13683 18244 22805 27366 36488 45610 54732 68415 72976 91220 109464 130021 136830 182440 218928 260042 273660 364880 390063 520084 547320 650105 780126 1040168 1094640 1300210 1560252 1950315 2080336 2600420 3120504 3900630 5200840 6241008 7801260 10401680 15602520 31205040 593025781 1186051562 1779077343 2372103124 2965128905 3558154686 4744206248 5930257810 7116309372 8895386715 9488412496 11860515620 14232618744 17790773430 23721031240 28465237488 35581546860 47442062480 71163093720 142326187440