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4440146064 = 2431134791709
BaseRepresentation
bin1000010001010011…
…10100000010010000
3102110102220210100020
410020221310002100
533043134133224
62012331423440
7215013422154
oct41051640220
912412823306
104440146064
11197938a502
12a3abb4b80
13559b7b183
143019a9064
151aec18c79
hex108a74090

4440146064 has 80 divisors (see below), whose sum is σ = 11602828800. Its totient is φ = 1463031808.

The previous prime is 4440146047. The next prime is 4440146069. The reversal of 4440146064 is 4606410444.

It is not an unprimeable number, because it can be changed into a prime (4440146069) 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, 2597242 + ... + 2598950.

It is an arithmetic number, because the mean of its divisors is an integer number (145035360).

Almost surely, 24440146064 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 4440146064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801414400).

4440146064 is an abundant number, since it is smaller than the sum of its proper divisors (7162682736).

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

4440146064 is a wasteful number, since it uses less digits than its factorization.

4440146064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 4440146064 is about 66634.4210149679. The cubic root of 4440146064 is about 1643.6111760353.

The spelling of 4440146064 in words is "four billion, four hundred forty million, one hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 479 678 904 958 1356 1437 1709 1808 1916 2712 2874 3418 3832 5127 5424 5748 6836 7664 10254 11496 13672 20508 22992 27344 41016 54127 82032 108254 162381 193117 216508 324762 386234 433016 579351 649524 772468 818611 866032 1158702 1299048 1544936 1637222 2317404 2455833 2598096 3089872 3274444 4634808 4911666 6548888 9269616 9823332 13097776 19646664 39293328 92503043 185006086 277509129 370012172 555018258 740024344 1110036516 1480048688 2220073032 4440146064