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444731137444 = 2211312771177073
BaseRepresentation
bin1100111100011000000…
…10101001110110100100
31120111221002002120222001
412132030002221312210
524241302132344234
6540150123415044
744062565203306
oct6361402516644
91514832076861
10444731137444
11161678150a90
1272237684484
1332c269342c9
141774cc45976
15b87d928d14
hex678c0a9da4

444731137444 has 48 divisors (see below), whose sum is σ = 879585025536. Its totient is φ = 194923123200.

The previous prime is 444731137423. The next prime is 444731137483.

444731137444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4447311374442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444731137394 and 444731137403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210709 + ... + 966364.

It is an arithmetic number, because the mean of its divisors is an integer number (18324688032).

Almost surely, 2444731137444 is an apocalyptic number.

444731137444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444731137444 is a deficient number, since it is larger than the sum of its proper divisors (434853888092).

444731137444 is a wasteful number, since it uses less digits than its factorization.

444731137444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177396 (or 1177394 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 46.

The spelling of 444731137444 in words is "four hundred forty-four billion, seven hundred thirty-one million, one hundred thirty-seven thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 31 44 62 124 277 341 554 682 1108 1364 3047 6094 8587 12188 17174 34348 94457 188914 377828 1177073 2354146 4708292 12947803 25895606 36489263 51791212 72978526 145957052 326049221 401381893 652098442 802763786 1304196884 1605527572 3586541431 7173082862 10107525851 14346165724 20215051702 40430103404 111182784361 222365568722 444731137444