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144564310366146 = 232112593990128439
BaseRepresentation
bin100000110111101100000000…
…010111011101011111000010
3200221212012202100110001021200
4200313230000113131133002
5122422020201423204041
61231243532150402030
742310266243205446
oct4067540027353702
9627765670401250
10144564310366146
114207641a466240
1214269647060316
1362884820c2998
14279ad42968826
1511aa6b1e5d1b6
hex837b005dd7c2

144564310366146 has 96 divisors (see below), whose sum is σ = 341875783416960. Its totient is φ = 43784509824000.

The previous prime is 144564310366031. The next prime is 144564310366163. The reversal of 144564310366146 is 641663013465441.

144564310366146 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 6 + 4 + 3 + 10 + 3 + 6 + 614 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144564310366092 and 144564310366101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5083297795 + ... + 5083326233.

It is an arithmetic number, because the mean of its divisors is an integer number (3561206077260).

Almost surely, 2144564310366146 is an apocalyptic number.

144564310366146 is an abundant number, since it is smaller than the sum of its proper divisors (197311473050814).

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

144564310366146 is a wasteful number, since it uses less digits than its factorization.

144564310366146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40952 (or 40949 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 144564310366146 in words is "one hundred forty-four trillion, five hundred sixty-four billion, three hundred ten million, three hundred sixty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2593 5186 7779 9901 15558 19802 23337 28439 28523 29703 46674 56878 57046 59406 85317 85569 89109 108911 170634 171138 178218 217822 255951 256707 312829 326733 511902 513414 625658 653466 938487 980199 1876974 1960398 2815461 5630922 25673293 51346586 73742327 77019879 147484654 154039758 221226981 231059637 281574539 282406223 442453962 462119274 563149078 564812446 663680943 811165597 844723617 847218669 1327361886 1622331194 1689447234 1694437338 2433496791 2534170851 2541656007 3097319929 4866993582 5068341702 5083312014 6194639858 7300490373 9291959787 14600980746 18583919574 27875879361 55751758722 730122779627 1460245559254 2190368338881 4380736677762 6571105016643 8031350575897 13142210033286 16062701151794 24094051727691 48188103455382 72282155183073 144564310366146