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144752916240 = 2434522338413
BaseRepresentation
bin1000011011001111110…
…0100011011100010000
3111211122002011001010000
42012303330203130100
54332423221304430
6150255405210000
713313053325652
oct2066374433420
9454562131100
10144752916240
115643127a499
1224079560900
131085b48c67a
1470129726d2
153b7311ce60
hex21b3f23710

144752916240 has 100 divisors (see below), whose sum is σ = 502748345484. Its totient is φ = 38600775936.

The previous prime is 144752916197. The next prime is 144752916271. The reversal of 144752916240 is 42619257441.

144752916240 is a `hidden beast` number, since 1 + 447 + 5 + 2 + 9 + 162 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111320987904 + 33431928336 = 333648^2 + 182844^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11162727 + ... + 11175686.

Almost surely, 2144752916240 is an apocalyptic number.

144752916240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144752916240 is an abundant number, since it is smaller than the sum of its proper divisors (357995429244).

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

144752916240 is a wasteful number, since it uses less digits than its factorization.

144752916240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22338438 (or 22338423 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 144752916240 in words is "one hundred forty-four billion, seven hundred fifty-two million, nine hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 22338413 44676826 67015239 89353652 111692065 134030478 178707304 201045717 223384130 268060956 335076195 357414608 402091434 446768260 536121912 603137151 670152390 804182868 893536520 1005228585 1072243824 1206274302 1340304780 1608365736 1787073040 1809411453 2010457170 2412548604 2680609560 3015685755 3216731472 3618822906 4020914340 4825097208 5361219120 6031371510 7237645812 8041828680 9047057265 9650194416 12062743020 14475291624 16083657360 18094114530 24125486040 28950583248 36188229060 48250972080 72376458120 144752916240