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444411132220 = 2251123101869587
BaseRepresentation
bin1100111011110001111…
…01111011100100111100
31120111002202221122022201
412131320331323210330
524240123222212340
6540054252521244
744051631203416
oct6357075734474
91514082848281
10444411132220
11161523553360
1272168480224
1332ba55508c3
141771c5459b6
15b8607b779a
hex6778f7b93c

444411132220 has 96 divisors (see below), whose sum is σ = 1072890717696. Its totient is φ = 153047136000.

The previous prime is 444411132203. The next prime is 444411132227. The reversal of 444411132220 is 22231114444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444411132227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76267 + ... + 945853.

It is an arithmetic number, because the mean of its divisors is an integer number (11175944976).

Almost surely, 2444411132220 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 444411132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536445358848).

444411132220 is an abundant number, since it is smaller than the sum of its proper divisors (628479585476).

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

444411132220 is a wasteful number, since it uses less digits than its factorization.

444411132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869731 (or 869729 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 444411132220 its reverse (22231114444), we get a palindrome (466642246664).

The spelling of 444411132220 in words is "four hundred forty-four billion, four hundred eleven million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 101 110 115 202 220 230 253 404 460 505 506 1010 1012 1111 1265 2020 2222 2323 2530 4444 4646 5060 5555 9292 11110 11615 22220 23230 25553 46460 51106 102212 127765 255530 511060 869587 1739174 3478348 4347935 8695870 9565457 17391740 19130914 20000501 38261828 40001002 47827285 80002004 87828287 95654570 100002505 175656574 191309140 200005010 220005511 351313148 400010020 439141435 440011022 878282870 880022044 966111157 1100027555 1756565740 1932222314 2020050601 2200055110 3864444628 4040101202 4400110220 4830555785 8080202404 9661111570 10100253005 19322223140 20200506010 22220556611 40401012020 44441113222 88882226444 111102783055 222205566110 444411132220