Search a number
-
+
444012301332 = 2232107115267991
BaseRepresentation
bin1100111011000010011…
…00100000110000010100
31120110001222110221012100
412131201030200300110
524233314122120312
6535550524322100
744036016201225
oct6354114406024
91513058427170
10444012301332
11161339406856
12720769a3330
1332b40a2b4b2
14176c15a724c
15b83a7855dc
hex6761320c14

444012301332 has 36 divisors (see below), whose sum is σ = 1132853825376. Its totient is φ = 146620883280.

The previous prime is 444012301321. The next prime is 444012301357. The reversal of 444012301332 is 233103210444.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 444012301296 and 444012301305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57630144 + ... + 57637847.

It is an arithmetic number, because the mean of its divisors is an integer number (31468161816).

Almost surely, 2444012301332 is an apocalyptic number.

It is an amenable number.

444012301332 is an abundant number, since it is smaller than the sum of its proper divisors (688841524044).

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

444012301332 is a wasteful number, since it uses less digits than its factorization.

444012301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115268108 (or 115268103 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 444012301332 its reverse (233103210444), we get a palindrome (677115511776).

The spelling of 444012301332 in words is "four hundred forty-four billion, twelve million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 115267991 230535982 345803973 461071964 691607946 1037411919 1383215892 2074823838 4149647676 12333675037 24667350074 37001025111 49334700148 74002050222 111003075333 148004100444 222006150666 444012301332