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1444526356 = 2271383137349
BaseRepresentation
bin101011000011001…
…1011100100010100
310201200010112122011
41112012123210110
510424244320411
6355201114004
750540162050
oct12606334424
93650115564
101444526356
11681441039
12343928904
131a036b630
14d9bc2c60
1586c3cc21
hex5619b914

1444526356 has 96 divisors (see below), whose sum is σ = 3180844800. Its totient is φ = 558849024.

The previous prime is 1444526351. The next prime is 1444526371. The reversal of 1444526356 is 6536254441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444526351) 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, 4138870 + ... + 4139218.

It is an arithmetic number, because the mean of its divisors is an integer number (33133800).

Almost surely, 21444526356 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 1444526356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590422400).

1444526356 is an abundant number, since it is smaller than the sum of its proper divisors (1736318444).

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

1444526356 is a wasteful number, since it uses less digits than its factorization.

1444526356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 591 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

The square root of 1444526356 is about 38006.9251058278. The cubic root of 1444526356 is about 1130.4251815807.

The spelling of 1444526356 in words is "one billion, four hundred forty-four million, five hundred twenty-six thousand, three hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 83 91 137 166 182 274 332 349 364 548 581 698 959 1079 1162 1396 1781 1918 2158 2324 2443 3562 3836 4316 4537 4886 7124 7553 9074 9772 11371 12467 15106 18148 22742 24934 28967 30212 31759 45484 47813 49868 57934 63518 79597 95626 115868 127036 147823 159194 191252 202769 295646 318388 334691 376571 405538 591292 621569 669382 753142 811076 1034761 1243138 1338764 1506284 2069522 2486276 2635997 3968479 4139044 4350983 5271994 7936958 8701966 10543988 15873916 17403932 27779353 51590227 55558706 103180454 111117412 206360908 361131589 722263178 1444526356