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144440634164515 = 513163199353194071
BaseRepresentation
bin100000110101111000110100…
…101100001100010100100011
3200221102101112010212001012021
4200311320310230030110203
5122413003404321231030
61231111040012242311
742265330364635153
oct4065706454142443
9627371463761167
10144440634164515
1142028a24476457
1214249690170397
1362799023c7ca0
142794d6d2b8763
1511a737439297a
hex835e34b0c523

144440634164515 has 64 divisors (see below), whose sum is σ = 189286339737600. Its totient is φ = 105177419550720.

The previous prime is 144440634164341. The next prime is 144440634164549. The reversal of 144440634164515 is 515461436044441.

It is a happy number.

It is not a de Polignac number, because 144440634164515 - 213 = 144440634156323 is a prime.

It is a super-4 number, since 4×1444406341645154 (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744169930 + ... + 744364000.

It is an arithmetic number, because the mean of its divisors is an integer number (2957599058400).

Almost surely, 2144440634164515 is an apocalyptic number.

144440634164515 is a deficient number, since it is larger than the sum of its proper divisors (44845705573085).

144440634164515 is a wasteful number, since it uses less digits than its factorization.

144440634164515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194804.

The product of its (nonzero) digits is 11059200, while the sum is 52.

The spelling of 144440634164515 in words is "one hundred forty-four trillion, four hundred forty billion, six hundred thirty-four million, one hundred sixty-four thousand, five hundred fifteen".

Divisors: 1 5 13 65 163 199 353 815 995 1765 2119 2587 4589 10595 12935 22945 32437 57539 70247 162185 194071 287695 351235 421681 748007 913211 970355 2108405 2522923 3740035 4566055 11450261 12614615 31633573 38620129 57251305 68507063 148853393 158167865 193100645 342535315 411236449 502061677 744266965 890591819 2056182245 2510308385 4452959095 6295081027 11166651269 13632905537 31475405135 55833256345 68164527685 81836053351 145166466497 177227771981 409180266755 725832332485 886138859905 2222163602531 11110818012655 28888126832903 144440634164515