Search a number
-
+
44198963248 = 24112316112073
BaseRepresentation
bin101001001010011101…
…101010100000110000
311020002022010222012211
4221022131222200300
51211004413310443
632145453101504
73123201663106
oct511235524060
9136068128184
1044198963248
1117821187300
128696187894
134224c873bb
1421d4113c76
15123a45e19d
hexa4a76a830

44198963248 has 120 divisors (see below), whose sum is σ = 98765706368. Its totient is φ = 19122048000.

The previous prime is 44198963209. The next prime is 44198963269. The reversal of 44198963248 is 84236989144.

It is a junction number, because it is equal to n+sod(n) for n = 44198963192 and 44198963201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3654940 + ... + 3667012.

Almost surely, 244198963248 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 44198963248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49382853184).

44198963248 is an abundant number, since it is smaller than the sum of its proper divisors (54566743120).

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

44198963248 is a wasteful number, since it uses less digits than its factorization.

44198963248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12195 (or 12178 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 58.

The spelling of 44198963248 in words is "forty-four billion, one hundred ninety-eight million, nine hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 61 62 88 121 122 124 176 242 244 248 341 484 488 496 671 682 968 976 1342 1364 1891 1936 2684 2728 3751 3782 5368 5456 7381 7502 7564 10736 12073 14762 15004 15128 20801 24146 29524 30008 30256 41602 48292 59048 60016 83204 96584 118096 132803 166408 193168 228811 265606 332816 374263 457622 531212 736453 748526 915244 1062424 1460833 1472906 1497052 1830488 2124848 2921666 2945812 2994104 3660976 4116893 5843332 5891624 5988208 8100983 8233786 11686664 11783248 16201966 16467572 22830043 23373328 32403932 32935144 45285823 45660086 64807864 65870288 89110813 90571646 91320172 129615728 178221626 181143292 182640344 251130473 356443252 362286584 365280688 502260946 712886504 724573168 1004521892 1425773008 2009043784 2762435203 4018087568 5524870406 11049740812 22099481624 44198963248