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143126405442144 = 25322392764775211
BaseRepresentation
bin100000100010110000110110…
…100011011110101001100000
3200202202202021021122121021200
4200202300312203132221200
5122224440334243122034
61224223210221521200
742101353516053045
oct4042606643365140
9622682237577250
10143126405442144
1141671627635583
1214076a33713200
1361b29ba4bc0c7
14274b4d81191cc
1511830a6209a99
hex822c368dea60

143126405442144 has 144 divisors (see below), whose sum is σ = 408738928066560. Its totient is φ = 47506833319680.

The previous prime is 143126405442113. The next prime is 143126405442191. The reversal of 143126405442144 is 441244504621341.

143126405442144 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 2 + 6 + 40 + 544 + 21 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 143126405442144.

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, 1902960699 + ... + 1903035909.

It is an arithmetic number, because the mean of its divisors is an integer number (2838464778240).

Almost surely, 2143126405442144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143126405442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204369464033280).

143126405442144 is an abundant number, since it is smaller than the sum of its proper divisors (265612522624416).

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

143126405442144 is a wasteful number, since it uses less digits than its factorization.

143126405442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103113 (or 103102 counting only the distinct ones).

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

The spelling of 143126405442144 in words is "one hundred forty-three trillion, one hundred twenty-six billion, four hundred five million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 239 288 478 717 956 1434 1912 2151 2868 3824 4302 5736 7648 8604 11472 17208 22944 27647 34416 55294 68832 75211 82941 110588 150422 165882 221176 225633 248823 300844 331764 442352 451266 497646 601688 663528 676899 884704 902532 995292 1203376 1327056 1353798 1805064 1990584 2406752 2654112 2707596 3610128 3981168 5415192 6607633 7220256 7962336 10830384 13215266 17975429 19822899 21660768 26430532 35950858 39645798 52861064 53926287 59468697 71901716 79291596 105722128 107852574 118937394 143803432 158583192 161778861 211444256 215705148 237874788 287606864 317166384 323557722 431410296 475749576 575213728 634332768 647115444 862820592 951499152 1294230888 1725641184 1902998304 2079358517 2588461776 4158717034 5176923552 6238075551 8317434068 12476151102 16634868136 18714226653 24952302204 33269736272 37428453306 49904604408 66539472544 74856906612 99809208816 149713813224 199618417632 299427626448 496966685563 598855252896 993933371126 1490900056689 1987866742252 2981800113378 3975733484504 4472700170067 5963600226756 7951466969008 8945400340134 11927200453512 15902933938016 17890800680268 23854400907024 35781601360536 47708801814048 71563202721072 143126405442144