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144006306141660 = 22352982762244909
BaseRepresentation
bin100000101111100100010100…
…101110010001010111011100
3200212212212110002001102121120
4200233210110232101113130
5122333344403333013120
61230135330031330540
742222053340436644
oct4057442456212734
9625785402042546
10144006306141660
1141980805642436
1214199478680a50
136247975b432b1
14277bd29d6b524
15119ae03e03140
hex82f914b915dc

144006306141660 has 48 divisors (see below), whose sum is σ = 417121714346400. Its totient is φ = 37077485718784.

The previous prime is 144006306141641. The next prime is 144006306141671. The reversal of 144006306141660 is 66141603600441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41381120715 + ... + 41381124194.

It is an arithmetic number, because the mean of its divisors is an integer number (8690035715550).

Almost surely, 2144006306141660 is an apocalyptic number.

144006306141660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144006306141660 is an abundant number, since it is smaller than the sum of its proper divisors (273115408204740).

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

144006306141660 is a wasteful number, since it uses less digits than its factorization.

144006306141660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82762244950 (or 82762244948 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 144006306141660 in words is "one hundred forty-four trillion, six billion, three hundred six million, one hundred forty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 82762244909 165524489818 248286734727 331048979636 413811224545 496573469454 827622449090 993146938908 1241433673635 1655244898180 2400105102361 2482867347270 4800210204722 4965734694540 7200315307083 9600420409444 12000525511805 14400630614166 24001051023610 28801261228332 36001576535415 48002102047220 72003153070830 144006306141660