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144174540944 = 24713715715981
BaseRepresentation
bin1000011001000101111…
…0001110100010010000
3111210010202211112100202
42012101132032202100
54330232140302234
6150122144434332
713262531243420
oct2062136164220
9453122745322
10144174540944
1156164851585
1223b379189a8
13107986c5875
146d99c18480
153b3c47277e
hex219178e890

144174540944 has 80 divisors (see below), whose sum is σ = 321832365696. Its totient is φ = 61288780800.

The previous prime is 144174540841. The next prime is 144174540953. The reversal of 144174540944 is 449045471441.

It is a super-2 number, since 2×1441745409442 (a number of 23 digits) contains 22 as substring.

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, 24102434 + ... + 24108414.

Almost surely, 2144174540944 is an apocalyptic number.

144174540944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144174540944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160916182848).

144174540944 is an abundant number, since it is smaller than the sum of its proper divisors (177657824752).

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

144174540944 is a wasteful number, since it uses less digits than its factorization.

144174540944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7704 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 144174540944 in words is "one hundred forty-four billion, one hundred seventy-four million, five hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 959 1096 1571 1918 2192 3142 3836 5981 6284 7672 10997 11962 12568 15344 21994 23924 25136 41867 43988 47848 83734 87976 95696 167468 175952 215227 334936 430454 669872 819397 860908 1506589 1638794 1721816 3013178 3277588 3443632 5735779 6026356 6555176 9396151 11471558 12052712 13110352 18792302 22943116 24105424 37584604 45886232 65773057 75169208 91772464 131546114 150338416 263092228 526184456 1052368912 1287272687 2574545374 5149090748 9010908809 10298181496 18021817618 20596362992 36043635236 72087270472 144174540944