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144642412420560 = 243251783911261407
BaseRepresentation
bin100000111000110100101111…
…100111001001110111010000
3200222010200100102020111101200
4200320310233213021313100
5122424310130034424220
61231343450144431200
742316032550545135
oct4070645747116720
9628120312214350
10144642412420560
11420a6558a9a74a
1214280803318500
13629294ac63072
1427a0a3161258c
1511ac7339c7890
hex838d2f9c9dd0

144642412420560 has 120 divisors (see below), whose sum is σ = 485784708264960. Its totient is φ = 38569144363776.

The previous prime is 144642412420537. The next prime is 144642412420603. The reversal of 144642412420560 is 65024214246441.

144642412420560 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 4 + 2 + 41 + 2 + 42 + 0 + 560 = 666.

144642412420560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7213377 + ... + 18474783.

It is an arithmetic number, because the mean of its divisors is an integer number (4048205902208).

Almost surely, 2144642412420560 is an apocalyptic number.

144642412420560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144642412420560 is an abundant number, since it is smaller than the sum of its proper divisors (341142295844400).

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

144642412420560 is a wasteful number, since it uses less digits than its factorization.

144642412420560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11279265 (or 11279256 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 144642412420560 in words is "one hundred forty-four trillion, six hundred forty-two billion, four hundred twelve million, four hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 17839 35678 53517 71356 89195 107034 142712 160551 178390 214068 267585 285424 321102 356780 428136 535170 642204 713560 802755 856272 1070340 1284408 1427120 1605510 2140680 2568816 3211020 4281360 6422040 11261407 12844080 22522814 33784221 45045628 56307035 67568442 90091256 101352663 112614070 135136884 168921105 180182512 202705326 225228140 270273768 337842210 405410652 450456280 506763315 540547536 675684420 810821304 900912560 1013526630 1351368840 1621642608 2027053260 2702737680 4054106520 8108213040 200892239473 401784478946 602676718419 803568957892 1004461197365 1205353436838 1607137915784 1808030155257 2008922394730 2410706873676 3013383592095 3214275831568 3616060310514 4017844789460 4821413747352 6026767184190 7232120621028 8035689578920 9040150776285 9642827494704 12053534368380 14464241242056 16071379157840 18080301552570 24107068736760 28928482484112 36160603105140 48214137473520 72321206210280 144642412420560