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444132130332 = 2231197215316111
BaseRepresentation
bin1100111011010000101…
…01100111111000011100
31120110101022221212200110
412131220111213320130
524234040311132312
6540010444530020
744042002551012
oct6355025477034
91513338855613
10444132130332
111613a0011090
12720aab50910
1332b5c7c5627
14176d347a8b2
15b84605543c
hex6768567e1c

444132130332 has 96 divisors (see below), whose sum is σ = 1142774406144. Its totient is φ = 133127884800.

The previous prime is 444132130297. The next prime is 444132130373. The reversal of 444132130332 is 233031231444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 444132130332.

It is a congruent number.

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, 27558957 + ... + 27575067.

It is an arithmetic number, because the mean of its divisors is an integer number (11903900064).

Almost surely, 2444132130332 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 444132130332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571387203072).

444132130332 is an abundant number, since it is smaller than the sum of its proper divisors (698642275812).

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

444132130332 is a wasteful number, since it uses less digits than its factorization.

444132130332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18379 (or 18377 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 444132130332 its reverse (233031231444), we get a palindrome (677163361776).

The spelling of 444132130332 in words is "four hundred forty-four billion, one hundred thirty-two million, one hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 2153 3201 4268 4306 6402 6459 8612 12804 12918 16111 23683 25836 32222 47366 48333 64444 71049 94732 96666 142098 177221 193332 208841 284196 354442 417682 531663 626523 708884 835364 1063326 1253046 1562767 2126652 2297251 2506092 3125534 4594502 4688301 6251068 6891753 9189004 9376602 13783506 17190437 18753204 27567012 34380874 34686983 51571311 68761748 69373966 103142622 104060949 138747932 206285244 208121898 381556813 416243796 763113626 1144670439 1526227252 2289340878 3364637351 4578681756 6729274702 10093912053 13458549404 20187824106 37011010861 40375648212 74022021722 111033032583 148044043444 222066065166 444132130332