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444341421144 = 23336863299743
BaseRepresentation
bin1100111011101001101…
…00000000010001011000
31120110220220202221201000
412131310310000101120
524240002400434034
6540043322425000
744050123522215
oct6356464002130
91513826687630
10444341421144
1116149816a3a5
1272149062160
1332b93c8374a
141771319ab0c
15b8595e7599
hex6774d00458

444341421144 has 64 divisors (see below), whose sum is σ = 1234465689600. Its totient is φ = 148091731488.

The previous prime is 444341421109. The next prime is 444341421157. The reversal of 444341421144 is 441124143444.

444341421144 is a `hidden beast` number, since 4 + 4 + 434 + 1 + 4 + 211 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444341421099 and 444341421108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332537 + ... + 1632279.

It is an arithmetic number, because the mean of its divisors is an integer number (19288526400).

Almost surely, 2444341421144 is an apocalyptic number.

It is an amenable number.

444341421144 is an abundant number, since it is smaller than the sum of its proper divisors (790124268456).

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

444341421144 is a wasteful number, since it uses less digits than its factorization.

444341421144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306621 (or 306611 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 444341421144 its reverse (441124143444), we get a palindrome (885465564588).

The spelling of 444341421144 in words is "four hundred forty-four billion, three hundred forty-one million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 6863 13726 20589 27452 41178 54904 61767 82356 123534 164712 185301 247068 299743 370602 494136 599486 741204 899229 1198972 1482408 1798458 2397944 2697687 3596916 5395374 7193832 8093061 10790748 16186122 21581496 32372244 64744488 2057136209 4114272418 6171408627 8228544836 12342817254 16457089672 18514225881 24685634508 37028451762 49371269016 55542677643 74056903524 111085355286 148113807048 222170710572 444341421144