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444410542340 = 225291795697523
BaseRepresentation
bin1100111011110001110…
…11101011100100000100
31120111002201211200011022
412131320323223210010
524240123044323330
6540054232130312
744051623165562
oct6357073534404
91514081750138
10444410542340
11161523190156
1272168236998
1332ba53a526b
141771c430a32
15b8606ecae5
hex6778eeb904

444410542340 has 96 divisors (see below), whose sum is σ = 972672624000. Its totient is φ = 170352960512.

The previous prime is 444410542333. The next prime is 444410542363. The reversal of 444410542340 is 43245014444.

It is a self number, because there is not a number n which added to its sum of digits gives 444410542340.

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, 59069819 + ... + 59077341.

It is an arithmetic number, because the mean of its divisors is an integer number (10132006500).

Almost surely, 2444410542340 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 444410542340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486336312000).

444410542340 is an abundant number, since it is smaller than the sum of its proper divisors (528262081660).

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

444410542340 is a wasteful number, since it uses less digits than its factorization.

444410542340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 444410542340 its reverse (43245014444), we get a palindrome (487655556784).

The spelling of 444410542340 in words is "four hundred forty-four billion, four hundred ten million, five hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 179 290 358 569 580 716 895 1138 1790 2276 2845 3580 5191 5690 7523 10382 11380 15046 16501 20764 25955 30092 33002 37615 51910 66004 75230 82505 101851 103820 150460 165010 203702 218167 330020 407404 436334 509255 872668 1018510 1090835 1346617 2037020 2181670 2693234 2953679 4280587 4363340 5386468 5907358 6733085 8561174 11814716 13466170 14768395 17122348 21402935 26932340 29536790 39051893 42805870 59073580 78103786 85611740 124137023 156207572 195259465 248274046 390518930 496548092 620685115 766225073 781037860 1241370230 1532450146 2482740460 3064900292 3831125365 7662250730 15324501460 22220527117 44441054234 88882108468 111102635585 222205271170 444410542340