Search a number
-
+
44113455431144 = 23113133982740213
BaseRepresentation
bin10100000011110111101101…
…10101110011110111101000
312210012012112120000210000222
422001323312311303313220
521240223324042244034
6233453235221545212
712202043356232441
oct1201736665636750
9183165476023028
1044113455431144
1113068458612370
124b45596b75208
131b7cb5b7233b8
14ac71618b82c8
1551775b32612e
hex281ef6d73de8

44113455431144 has 64 divisors (see below), whose sum is σ = 90524873211840. Its totient is φ = 19986509237760.

The previous prime is 44113455431117. The next prime is 44113455431147.

44113455431144 is nontrivially palindromic in base 10.

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 = 44113455431095 and 44113455431104.

It is not an unprimeable number, because it can be changed into a prime (44113455431147) 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, 1096974782 + ... + 1097014994.

It is an arithmetic number, because the mean of its divisors is an integer number (1414451143935).

Almost surely, 244113455431144 is an apocalyptic number.

44113455431144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44113455431144 is an abundant number, since it is smaller than the sum of its proper divisors (46411417780696).

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

44113455431144 is a wasteful number, since it uses less digits than its factorization.

44113455431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80370 (or 80366 counting only the distinct ones).

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

It can be divided in two parts, 4411345 and 5431144, that added together give a palindrome (9842489).

The spelling of 44113455431144 in words is "forty-four trillion, one hundred thirteen billion, four hundred fifty-five million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 313 626 1252 2504 3443 6886 13772 27544 39827 40213 79654 80426 159308 160852 318616 321704 438097 442343 876194 884686 1752388 1769372 3504776 3538744 12465851 12586669 24931702 25173338 49863404 50346676 99726808 100693352 137124361 138453359 274248722 276906718 548497444 553813436 1096994888 1107626872 1601563151 3203126302 6406252604 12812505208 17617194661 35234389322 70468778644 140937557288 501289266263 1002578532526 2005157065052 4010314130104 5514181928893 11028363857786 22056727715572 44113455431144