Search a number
-
+
44151066112 = 29176775709
BaseRepresentation
bin101001000111100110…
…111100111000000000
311012221222000112200211
4221013212330320000
51210410133103422
632141022323504
73122050604236
oct510746747000
9135858015624
1044151066112
11177a714249a
128682129594
1342180871ba
1421cba06956
15123614c577
hexa479bce00

44151066112 has 80 divisors (see below), whose sum is σ = 94800427920. Its totient is φ = 20466597888.

The previous prime is 44151066103. The next prime is 44151066119. The reversal of 44151066112 is 21166015144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44151066119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545314 + ... + 621022.

It is an arithmetic number, because the mean of its divisors is an integer number (1185005349).

Almost surely, 244151066112 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 44151066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47400213960).

44151066112 is an abundant number, since it is smaller than the sum of its proper divisors (50649361808).

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

44151066112 is an equidigital number, since it uses as much as digits as its factorization.

44151066112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75811 (or 75795 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 44151066112 in words is "forty-four billion, one hundred fifty-one million, sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 128 134 136 256 268 272 512 536 544 1072 1088 1139 2144 2176 2278 4288 4352 4556 8576 8704 9112 17152 18224 34304 36448 72896 75709 145792 151418 291584 302836 583168 605672 1211344 1287053 2422688 2574106 4845376 5072503 5148212 9690752 10145006 10296424 19381504 20290012 20592848 38763008 40580024 41185696 81160048 82371392 86232551 162320096 164742784 172465102 324640192 329485568 344930204 649280384 658971136 689860408 1298560768 1379720816 2597121536 2759441632 5518883264 11037766528 22075533056 44151066112