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1125043444 = 2273141101313
BaseRepresentation
bin100001100001110…
…1100110011110100
32220101222010110201
41003003230303310
54301002342234
6303345330244
736610466020
oct10303546364
92811863421
101125043444
1152806a878
12274936984
1314c10b8a5
14a95bb380
1568b81314
hex430eccf4

1125043444 has 96 divisors (see below), whose sum is σ = 2410555392. Its totient is φ = 449280000.

The previous prime is 1125043427. The next prime is 1125043471. The reversal of 1125043444 is 4443405211.

It is a super-2 number, since 2×11250434442 = 2531445501774762272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 3594232 + ... + 3594544.

It is an arithmetic number, because the mean of its divisors is an integer number (25109952).

Almost surely, 21125043444 is an apocalyptic number.

1125043444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125043444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205277696).

1125043444 is an abundant number, since it is smaller than the sum of its proper divisors (1285511948).

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

1125043444 is a wasteful number, since it uses less digits than its factorization.

1125043444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1125043444 is about 33541.6672811594. The cubic root of 1125043444 is about 1040.0552990813.

Adding to 1125043444 its reverse (4443405211), we get a palindrome (5568448655).

The spelling of 1125043444 in words is "one billion, one hundred twenty-five million, forty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 41 62 82 101 124 164 202 217 287 313 404 434 574 626 707 868 1148 1252 1271 1414 2191 2542 2828 3131 4141 4382 5084 6262 8282 8764 8897 9703 12524 12833 16564 17794 19406 21917 25666 28987 31613 35588 38812 43834 51332 57974 63226 67921 87668 89831 115948 126452 128371 135842 179662 221291 256742 271684 359324 397823 442582 513484 795646 885164 898597 980003 1296133 1591292 1797194 1960006 2592266 2784761 3594388 3920012 5184532 5569522 6860021 9072931 11139044 13720042 18145862 27440084 36291724 40180123 80360246 160720492 281260861 562521722 1125043444