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4441411912 = 2373159103421
BaseRepresentation
bin1000010001011101…
…01001000101001000
3102110112022002202111
410020232221011020
533044000140122
62012414512104
7215030243530
oct41056510510
912415262674
104441411912
11197a074563
12a3b505634
1355a2023b2
14301c184c0
151aedb8d77
hex108ba9148

4441411912 has 128 divisors (see below), whose sum is σ = 10111795200. Its totient is φ = 1788998400.

The previous prime is 4441411867. The next prime is 4441411913. The reversal of 4441411912 is 2191141444.

It is a super-2 number, since 2×44414119122 = 39452279544110991488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (4441411913) 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, 10549462 + ... + 10549882.

It is an arithmetic number, because the mean of its divisors is an integer number (78998400).

It is a self-describing number.

Almost surely, 24441411912 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 4441411912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055897600).

4441411912 is an abundant number, since it is smaller than the sum of its proper divisors (5670383288).

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

4441411912 is a wasteful number, since it uses less digits than its factorization.

4441411912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 4441411912 is about 66643.9187923399. The cubic root of 4441411912 is about 1643.7673543985.

The spelling of 4441411912 in words is "four billion, four hundred forty-one million, four hundred eleven thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 56 59 62 103 118 124 206 217 236 248 412 413 421 434 472 721 824 826 842 868 1442 1652 1684 1736 1829 2884 2947 3193 3304 3368 3658 5768 5894 6077 6386 7316 11788 12154 12772 12803 13051 14632 22351 23576 24308 24839 25544 25606 26102 42539 43363 44702 48616 49678 51212 52204 85078 86726 89404 91357 99356 102424 104408 170156 173452 173873 178808 182714 188387 198712 303541 340312 346904 347746 365428 376774 607082 695492 730856 753548 770009 1214164 1318709 1344253 1390984 1507096 1540018 2428328 2558417 2637418 2688506 3080036 5116834 5274836 5377012 5390063 6160072 9409771 10233668 10549672 10754024 10780126 17908919 18819542 20467336 21560252 35817838 37639084 43120504 71635676 75278168 79310927 143271352 158621854 317243708 555176489 634487416 1110352978 2220705956 4441411912