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1137444084 = 2232737432837
BaseRepresentation
bin100001111001100…
…0000010011110100
32221021022010221200
41003303000103310
54312141202314
6304511212500
740121054340
oct10363002364
92837263850
101137444084
1153406a637
12278b17130
1315186104a
14ab0c8620
1569cd0709
hex43cc04f4

1137444084 has 144 divisors (see below), whose sum is σ = 3454459008. Its totient is φ = 308738304.

The previous prime is 1137444083. The next prime is 1137444107. The reversal of 1137444084 is 4804447311.

It is a happy number.

1137444084 is a `hidden beast` number, since 1 + 137 + 4 + 440 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137444083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399514 + ... + 402350.

Almost surely, 21137444084 is an apocalyptic number.

1137444084 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 1137444084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727229504).

1137444084 is an abundant number, since it is smaller than the sum of its proper divisors (2317014924).

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

1137444084 is a wasteful number, since it uses less digits than its factorization.

1137444084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1137444084 is about 33726.0149439568. The cubic root of 1137444084 is about 1043.8626344128.

The spelling of 1137444084 in words is "one billion, one hundred thirty-seven million, four hundred forty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 43 63 74 84 86 111 126 129 148 172 222 252 258 259 301 333 387 444 516 518 602 666 774 777 903 1036 1204 1332 1548 1554 1591 1806 2331 2709 2837 3108 3182 3612 4662 4773 5418 5674 6364 8511 9324 9546 10836 11137 11348 14319 17022 19092 19859 22274 25533 28638 33411 34044 39718 44548 51066 57276 59577 66822 79436 100233 102132 104969 119154 121991 133644 178731 200466 209938 238308 243982 314907 357462 365973 400932 419876 487964 629814 714924 731946 734783 853937 944721 1097919 1259628 1463892 1469566 1707874 1889442 2195838 2204349 2561811 2939132 3415748 3778884 4391676 4408698 4513667 5123622 6613047 7685433 8817396 9027334 10247244 13226094 13541001 15370866 18054668 26452188 27082002 30741732 31595669 40623003 54164004 63191338 81246006 94787007 126382676 162492012 189574014 284361021 379148028 568722042 1137444084