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446056340044 = 227193898832441
BaseRepresentation
bin1100111110110110000…
…01111001101001001100
31120122100102200212011211
412133123001321221030
524302010410340134
6540525423224204
744140456221610
oct6373301715114
91518312625154
10446056340044
111621981a2347
1272547448064
13330a8354763
1417836c47340
15b909e46764
hex67db079a4c

446056340044 has 96 divisors (see below), whose sum is σ = 942932390400. Its totient is φ = 180361520640.

The previous prime is 446056340017. The next prime is 446056340087. The reversal of 446056340044 is 440043650644.

It is a junction number, because it is equal to n+sod(n) for n = 446056339979 and 446056340006.

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, 182733864 + ... + 182736304.

It is an arithmetic number, because the mean of its divisors is an integer number (9822212400).

Almost surely, 2446056340044 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 446056340044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471466195200).

446056340044 is an abundant number, since it is smaller than the sum of its proper divisors (496876050356).

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

446056340044 is a wasteful number, since it uses less digits than its factorization.

446056340044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 446056340044 its reverse (440043650644), we get a palindrome (886099990688).

The spelling of 446056340044 in words is "four hundred forty-six billion, fifty-six million, three hundred forty thousand, forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 389 532 778 883 1556 1766 2441 2723 3532 4882 5446 6181 7391 9764 10892 12362 14782 16777 17087 24724 29564 33554 34174 46379 51737 67108 68348 92758 103474 117439 185516 206948 234878 324653 343487 469756 649306 686974 949549 1298612 1373948 1899098 2155403 2404409 3798196 4310806 4808818 6526253 6646843 8621612 9617636 13052506 13293686 15087821 18041431 26105012 26587372 30175642 36082862 40952657 45683771 60351284 72165724 81905314 91367542 126290017 163810628 182735084 252580034 286668599 505160068 573337198 838451767 1146674396 1676903534 3353807068 5869162369 11738324738 15930583573 23476649476 31861167146 63722334292 111514085011 223028170022 446056340044