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144095424083640 = 23325400265066899
BaseRepresentation
bin100000110000110111010100…
…100100001111011010111000
3200220012101110212011221121100
4200300313110210033122320
5122341324412031134030
61230244305102211400
742231356636442531
oct4060672444173270
9626171425157540
10144095424083640
1141a05587376257
12141b27a9b83b60
1362531a8cb1643
142782381a5d688
15119d3bcae9360
hex830dd490f6b8

144095424083640 has 48 divisors (see below), whose sum is σ = 468310128273000. Its totient is φ = 38425446422208.

The previous prime is 144095424083603. The next prime is 144095424083651. The reversal of 144095424083640 is 46380424590441.

144095424083640 is a `hidden beast` number, since 1 + 4 + 40 + 95 + 42 + 408 + 36 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200132533090 + ... + 200132533809.

Almost surely, 2144095424083640 is an apocalyptic number.

144095424083640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144095424083640 is an abundant number, since it is smaller than the sum of its proper divisors (324214704189360).

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

144095424083640 is a wasteful number, since it uses less digits than its factorization.

144095424083640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400265066916 (or 400265066909 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 144095424083640 in words is "one hundred forty-four trillion, ninety-five billion, four hundred twenty-four million, eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 400265066899 800530133798 1200795200697 1601060267596 2001325334495 2401590401394 3202120535192 3602385602091 4002650668990 4803180802788 6003976003485 7204771204182 8005301337980 9606361605576 12007952006970 14409542408364 16010602675960 18011928010455 24015904013940 28819084816728 36023856020910 48031808027880 72047712041820 144095424083640