Search a number
-
+
44168342244 = 223135317593037
BaseRepresentation
bin101001001000101000…
…110110101011100100
311020000011112021002120
4221020220312223210
51210424043422434
632142440505540
73122350500045
oct511050665344
9136004467076
1044168342244
1117805972294
128687a7b2b0
13421b825870
1421d00228cc
151237911349
hexa48a36ae4

44168342244 has 96 divisors (see below), whose sum is σ = 113182755840. Its totient is φ = 13321870848.

The previous prime is 44168342213. The next prime is 44168342249. The reversal of 44168342244 is 44224386144.

It is a super-2 number, since 2×441683422442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44168342196 and 44168342205.

It is not an unprimeable number, because it can be changed into a prime (44168342249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14541894 + ... + 14544930.

It is an arithmetic number, because the mean of its divisors is an integer number (1178987040).

Almost surely, 244168342244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44168342244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56591377920).

44168342244 is an abundant number, since it is smaller than the sum of its proper divisors (69014413596).

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

44168342244 is a wasteful number, since it uses less digits than its factorization.

44168342244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4867 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 44168342244 in words is "forty-four billion, one hundred sixty-eight million, three hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 1759 2067 2756 3037 3518 4134 5277 6074 7036 8268 9111 10554 12148 18222 21108 22867 36444 39481 45734 68601 78962 91468 93227 118443 137202 157924 160961 186454 236886 274404 279681 321922 372908 473772 482883 559362 643844 965766 1118724 1211951 1931532 2092493 2423902 3635853 4184986 4847804 5342083 6277479 7271706 8369972 10684166 12554958 14543412 16026249 21368332 25109916 32052498 64104996 69447079 138894158 208341237 277788316 283130399 416682474 566260798 833364948 849391197 1132521596 1698782394 3397564788 3680695187 7361390374 11042085561 14722780748 22084171122 44168342244