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144582748481470 = 251319127745838313
BaseRepresentation
bin100000110111111101001011…
…010111010010011110111110
3200221220222100100000100112211
4200313331023113102132332
5122422320432102401340
61231300221523251034
742311521201460635
oct4067751327223676
9627828310010484
10144582748481470
1142083221287182
1214271131b19a7a
13628a13001b5b0
14279bbb163c51c
1511aade0a085ea
hex837f4b5d27be

144582748481470 has 64 divisors (see below), whose sum is σ = 295250081071680. Its totient is φ = 50535088800768.

The previous prime is 144582748481447. The next prime is 144582748481569. The reversal of 144582748481470 is 74184847285441.

It is a junction number, because it is equal to n+sod(n) for n = 144582748481396 and 144582748481405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19764967 + ... + 26073346.

It is an arithmetic number, because the mean of its divisors is an integer number (4613282516745).

Almost surely, 2144582748481470 is an apocalyptic number.

144582748481470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144582748481470 is an abundant number, since it is smaller than the sum of its proper divisors (150667332590210).

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

144582748481470 is a wasteful number, since it uses less digits than its factorization.

144582748481470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45839629.

The product of its (nonzero) digits is 256901120, while the sum is 67.

The spelling of 144582748481470 in words is "one hundred forty-four trillion, five hundred eighty-two billion, seven hundred forty-eight million, four hundred eighty-one thousand, four hundred seventy".

Divisors: 1 2 5 10 13 19 26 38 65 95 130 190 247 494 1235 1277 2470 2554 6385 12770 16601 24263 33202 48526 83005 121315 166010 242630 315419 630838 1577095 3154190 45838313 91676626 229191565 458383130 595898069 870927947 1191796138 1741855894 2979490345 4354639735 5958980690 8709279470 11322063311 22644126622 56610316555 58535525701 113220633110 117071051402 292677628505 585355257010 760961834113 1112174988319 1521923668226 2224349976638 3804809170565 5560874941595 7609618341130 11121749883190 14458274848147 28916549696294 72291374240735 144582748481470