Search a number
-
+
44148696360 = 233529103123169
BaseRepresentation
bin101001000111011101…
…111010010100101000
311012221210120011000020
4221013131322110220
51210404031240420
632140455440440
73122021504316
oct510735722450
9135853504006
1044148696360
11177a587401a
128681386120
134217737692
1421cb58b0b6
151235d30340
hexa4777a528

44148696360 has 128 divisors (see below), whose sum is σ = 138344544000. Its totient is φ = 11256569856.

The previous prime is 44148696359. The next prime is 44148696379. The reversal of 44148696360 is 6369684144.

44148696360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296856 + ... + 420024.

It is an arithmetic number, because the mean of its divisors is an integer number (1080816750).

Almost surely, 244148696360 is an apocalyptic number.

44148696360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44148696360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69172272000).

44148696360 is an abundant number, since it is smaller than the sum of its proper divisors (94195847640).

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

44148696360 is a wasteful number, since it uses less digits than its factorization.

44148696360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123315 (or 123311 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 44148696360 in words is "forty-four billion, one hundred forty-eight million, six hundred ninety-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 103 116 120 145 174 206 232 290 309 348 412 435 515 580 618 696 824 870 1030 1160 1236 1545 1740 2060 2472 2987 3090 3480 4120 5974 6180 8961 11948 12360 14935 17922 23896 29870 35844 44805 59740 71688 89610 119480 123169 179220 246338 358440 369507 492676 615845 739014 985352 1231690 1478028 1847535 2463380 2956056 3571901 3695070 4926760 7143802 7390140 10715703 12686407 14287604 14780280 17859505 21431406 25372814 28575208 35719010 38059221 42862812 50745628 53578515 63432035 71438020 76118442 85725624 101491256 107157030 126864070 142876040 152236884 190296105 214314060 253728140 304473768 367905803 380592210 428628120 507456280 735811606 761184420 1103717409 1471623212 1522368840 1839529015 2207434818 2943246424 3679058030 4414869636 5518587045 7358116060 8829739272 11037174090 14716232120 22074348180 44148696360