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144536354654240 = 2556389141391801
BaseRepresentation
bin100000110111010001111110…
…000100111000100000100000
3200221202112121001211201222102
4200313101332010320200200
5122421040423242413430
61231223030142425532
742305256415446263
oct4067217604704040
9627675531751872
10144536354654240
11420655841690aa
12142641448922a8
136285948410513
14279984dc26cda
1511a9ac7a44345
hex83747e138820

144536354654240 has 48 divisors (see below), whose sum is σ = 341520586386840. Its totient is φ = 57805492377600.

The previous prime is 144536354654143. The next prime is 144536354654327. The reversal of 144536354654240 is 42456453635441.

It can be written as a sum of positive squares in 4 ways, for example, as 89326164367504 + 55210190286736 = 9451252^2 + 7430356^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 69673661 + ... + 71718140.

Almost surely, 2144536354654240 is an apocalyptic number.

144536354654240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144536354654240 is an abundant number, since it is smaller than the sum of its proper divisors (196984231732600).

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

144536354654240 is a wasteful number, since it uses less digits than its factorization.

144536354654240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141398205 (or 141398197 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 56.

The spelling of 144536354654240 in words is "one hundred forty-four trillion, five hundred thirty-six billion, three hundred fifty-four million, six hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6389 12778 25556 31945 51112 63890 102224 127780 204448 255560 511120 1022240 141391801 282783602 565567204 706959005 1131134408 1413918010 2262268816 2827836020 4524537632 5655672040 11311344080 22622688160 903352216589 1806704433178 3613408866356 4516761082945 7226817732712 9033522165890 14453635465424 18067044331780 28907270930848 36134088663560 72268177327120 144536354654240