Search a number
-
+
44468246040 = 23356110955733
BaseRepresentation
bin101001011010100000…
…111001011000011000
311020210001211221202120
4221122200321120120
51212032332333130
632232312501240
73132651566121
oct513240713030
9136701757676
1044468246040
111794a190469
1287503aa820
1342689bb92a
14221bbad048
151253e01910
hexa5a839618

44468246040 has 128 divisors (see below), whose sum is σ = 136838116800. Its totient is φ = 11556587520.

The previous prime is 44468246027. The next prime is 44468246059. The reversal of 44468246040 is 4064286444.

It is a junction number, because it is equal to n+sod(n) for n = 44468245983 and 44468246001.

It is a congruent number.

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, 770014 + ... + 825746.

Almost surely, 244468246040 is an apocalyptic number.

44468246040 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 44468246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68419058400).

44468246040 is an abundant number, since it is smaller than the sum of its proper divisors (92369870760).

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

44468246040 is a wasteful number, since it uses less digits than its factorization.

44468246040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55917 (or 55913 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 44468246040 in words is "forty-four billion, four hundred sixty-eight million, two hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 109 120 122 183 218 244 305 327 366 436 488 545 610 654 732 872 915 1090 1220 1308 1464 1635 1830 2180 2440 2616 3270 3660 4360 6540 6649 7320 13080 13298 19947 26596 33245 39894 53192 55733 66490 79788 99735 111466 132980 159576 167199 199470 222932 265960 278665 334398 398940 445864 557330 668796 797880 835995 1114660 1337592 1671990 2229320 3343980 3399713 6074897 6687960 6799426 10199139 12149794 13598852 16998565 18224691 20398278 24299588 27197704 30374485 33997130 36449382 40796556 48599176 50995695 60748970 67994260 72898764 81593112 91123455 101991390 121497940 135988520 145797528 182246910 203982780 242995880 364493820 370568717 407965560 728987640 741137434 1111706151 1482274868 1852843585 2223412302 2964549736 3705687170 4446824604 5558530755 7411374340 8893649208 11117061510 14822748680 22234123020 44468246040