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44431155113444 = 221119241132751413
BaseRepresentation
bin10100001101000111011110…
…01101111010110111100100
312211022120120121000211100222
422012203233031322313210
521310430001202112234
6234255220232423512
712234021305045321
oct1206435715726744
9184276517024328
1044431155113444
111318016881a980
124b9707bb47b98
131ba3abc4a2ca8
14ad869d5cdb48
15520b5281a42e
hex2868ef37ade4

44431155113444 has 144 divisors (see below), whose sum is σ = 91776823117056. Its totient is φ = 18651944563200.

The previous prime is 44431155113437. The next prime is 44431155113447.

44431155113444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444311551134442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44431155113395 and 44431155113404.

It is not an unprimeable number, because it can be changed into a prime (44431155113447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864175082 + ... + 864226494.

It is an arithmetic number, because the mean of its divisors is an integer number (637339049424).

Almost surely, 244431155113444 is an apocalyptic number.

44431155113444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44431155113444 is an abundant number, since it is smaller than the sum of its proper divisors (47345668003612).

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

44431155113444 is a wasteful number, since it uses less digits than its factorization.

44431155113444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52834 (or 52813 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

It can be divided in two parts, 4443115 and 5113444, that added together give a palindrome (9556559).

The spelling of 44431155113444 in words is "forty-four trillion, four hundred thirty-one billion, one hundred fifty-five million, one hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 4 11 19 22 38 41 44 76 82 164 209 361 418 451 722 779 836 902 1327 1444 1558 1804 2654 3116 3971 5308 7942 8569 14597 14801 15884 17138 25213 29194 29602 34276 50426 51413 54407 58388 59204 100852 102826 108814 162811 205652 217628 277343 325622 479047 554686 565543 598477 651244 958094 976847 1033733 1109372 1131086 1196954 1916188 1953694 2067466 2107933 2262172 2393908 3907388 4134932 4215866 5269517 8431732 10539034 10745317 11371063 18560093 19640927 21078068 21490634 22742126 23187263 37120186 39281854 40050727 42981268 45484252 46374526 68225051 74240372 78563708 80101454 92749052 136450102 160202908 204161023 216050197 272900204 408322046 432100394 440557997 750475561 760963813 816644092 864200788 881115994 1296275969 1500951122 1521927626 1762231988 2592551938 2797227091 3001902244 3043855252 5185103876 5594454182 8370601943 11188908364 14259035659 16741203886 24629243411 28518071318 30769498001 33482407772 49258486822 53147314729 57036142636 61538996002 98516973644 106294629458 123077992004 212589258916 270921677521 541843355042 584620462019 1009798979851 1083686710084 1169240924038 2019597959702 2338481848076 4039195919404 11107788778361 22215577556722 44431155113444