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144146201412555 = 335591071391216799
BaseRepresentation
bin100000110001100110100111…
…001000011000001111001011
3200220101020112121200112001000
4200301212213020120033023
5122343142410030200210
61230323503432430043
742235135150556406
oct4061464710301713
9626336477615030
10144146201412555
1141a250738a4aa1
12142005bb248323
136257c0bac70b4
1427849db6d6d3d
15119e890838ac0
hex8319a72183cb

144146201412555 has 128 divisors (see below), whose sum is σ = 264931430400000. Its totient is φ = 74329965097344.

The previous prime is 144146201412517. The next prime is 144146201412559. The reversal of 144146201412555 is 555214102641441.

144146201412555 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 4 + 620 + 1 + 4 + 12 + 5 + 5 + 5 = 666.

It is not a de Polignac number, because 144146201412555 - 228 = 144145932977099 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144146201412555.

It is not an unprimeable number, because it can be changed into a prime (144146201412559) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117855046 + ... + 119071844.

It is an arithmetic number, because the mean of its divisors is an integer number (2069776800000).

Almost surely, 2144146201412555 is an apocalyptic number.

144146201412555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144146201412555 is a deficient number, since it is larger than the sum of its proper divisors (120785228987445).

144146201412555 is a wasteful number, since it uses less digits than its factorization.

144146201412555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217118 (or 1217112 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 144146201412555 in words is "one hundred forty-four trillion, one hundred forty-six billion, two hundred one million, four hundred twelve thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 59 107 135 139 177 295 321 417 531 535 695 885 963 1251 1593 1605 2085 2655 2889 3753 4815 6255 6313 7965 8201 14445 14873 18765 18939 24603 31565 41005 44619 56817 73809 74365 94695 123015 133857 170451 221427 223095 284085 369045 401571 669285 852255 877507 1107135 1216799 2007855 2632521 3650397 4387535 6083995 7897563 10951191 13162605 18251985 23692689 32853573 39487815 54755955 71791141 118463445 130197493 164267865 169135061 215373423 358955705 390592479 507405183 646120269 650987465 845675305 1076867115 1171777437 1522215549 1938360807 1952962395 2537025915 3230601345 3515332311 4566646647 5858887185 7611077745 7681652087 9691804035 9978968599 17576661555 18097451527 22833233235 23044956261 29936905797 38408260435 49894842995 54292354581 69134868783 89810717391 90487257635 115224781305 149684528985 162877063743 207404606349 269432152173 271461772905 345674343915 449053586955 488631191229 814385318715 1037023031745 1067749640093 1347160760865 2443155956145 3203248920279 5338748200465 9609746760837 16016244601395 28829240282511 48048733804185 144146201412555