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44343022034344 = 231131157103533589
BaseRepresentation
bin10100001010100011010100…
…00100111001110110101000
312211000011002110002112021011
422011101222010321312220
521303004002120044334
6234150523022553304
712224451265166665
oct1205215204716650
9184004073075234
1044343022034344
1113146851a11120
124b81b84438834
131b986b53a1c47
14ad42dc628a6c
1551d6e5315564
hex28546a139da8

44343022034344 has 64 divisors (see below), whose sum is σ = 94223849587200. Its totient is φ = 19381487673600.

The previous prime is 44343022034303. The next prime is 44343022034347.

44343022034344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44343022034297 and 44343022034306.

It is not an unprimeable number, because it can be changed into a prime (44343022034347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51338499 + ... + 52195090.

It is an arithmetic number, because the mean of its divisors is an integer number (1472247649800).

Almost surely, 244343022034344 is an apocalyptic number.

44343022034344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44343022034344 is an abundant number, since it is smaller than the sum of its proper divisors (49880827552856).

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

44343022034344 is a wasteful number, since it uses less digits than its factorization.

44343022034344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103533794 (or 103533790 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

It can be divided in two parts, 4434302 and 2034344, that added together give a palindrome (6468646).

The spelling of 44343022034344 in words is "forty-four trillion, three hundred forty-three billion, twenty-two million, thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 157 248 314 341 628 682 1256 1364 1727 2728 3454 4867 6908 9734 13816 19468 38936 53537 107074 214148 428296 103533589 207067178 414134356 828268712 1138869479 2277738958 3209541259 4555477916 6419082518 9110955832 12838165036 16254773473 25676330072 32509546946 35304953849 65019093892 70609907698 130038187784 141219815396 178802508203 282439630792 357605016406 503897977663 715210032812 1007795955326 1430420065624 2015591910652 4031183821304 5542877754293 11085755508586 22171511017172 44343022034344