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444013411032 = 233222770938317
BaseRepresentation
bin1100111011000010100…
…00101111101011011000
31120110002001120022102100
412131201100233223120
524233314413123112
6535551004203400
744036031502422
oct6354120575330
91513061508370
10444013411032
11161339aa4564
1272077239560
1332b41029619
14176c17b5812
15b83a9042dc
hex676142fad8

444013411032 has 96 divisors (see below), whose sum is σ = 1209568978800. Its totient is φ = 147140796672.

The previous prime is 444013411019. The next prime is 444013411063. The reversal of 444013411032 is 230114310444.

It is a junction number, because it is equal to n+sod(n) for n = 444013410987 and 444013411005.

It is a congruent number.

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, 11568738 + ... + 11607054.

Almost surely, 2444013411032 is an apocalyptic number.

It is an amenable number.

444013411032 is an abundant number, since it is smaller than the sum of its proper divisors (765555567768).

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

444013411032 is a wasteful number, since it uses less digits than its factorization.

444013411032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39265 (or 39258 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 444013411032 its reverse (230114310444), we get a palindrome (674127721476).

The spelling of 444013411032 in words is "four hundred forty-four billion, thirteen million, four hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 227 454 681 709 908 1362 1418 1816 2043 2127 2724 2836 4086 4254 5448 5672 6381 8172 8508 12762 16344 17016 25524 38317 51048 76634 114951 153268 160943 229902 306536 321886 344853 459804 482829 643772 689706 919608 965658 1287544 1379412 1448487 1931316 2758824 2896974 3862632 5793948 8697959 11587896 17395918 26093877 27166753 34791836 52187754 54333506 69583672 78281631 81500259 104375508 108667012 156563262 163000518 208751016 217334024 244500777 313126524 326001036 489001554 626253048 652002072 978003108 1956006216 6166852931 12333705862 18500558793 24667411724 37001117586 49334823448 55501676379 74002235172 111003352758 148004470344 222006705516 444013411032