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1124044213104 = 243327127133539
BaseRepresentation
bin10000010110110110010…
…000011000101101110000
310222110100120111100102000
4100112312100120231300
5121404020304304404
62220213452254000
7144131602111131
oct20266620305560
93873316440360
101124044213104
113a378272219a
12161a20171300
1381cc62b49c7
143c592931c88
151e38b7c7339
hex105b6418b70

1124044213104 has 160 divisors (see below), whose sum is σ = 3240437836800. Its totient is φ = 373055777280.

The previous prime is 1124044213069. The next prime is 1124044213141. The reversal of 1124044213104 is 4013124404211.

1124044213104 is a `hidden beast` number, since 112 + 4 + 0 + 442 + 1 + 3 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317614567 + ... + 317618105.

It is an arithmetic number, because the mean of its divisors is an integer number (20252736480).

Almost surely, 21124044213104 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 1124044213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620218918400).

1124044213104 is an abundant number, since it is smaller than the sum of its proper divisors (2116393623696).

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

1124044213104 is a wasteful number, since it uses less digits than its factorization.

1124044213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1124044213104 its reverse (4013124404211), we get a palindrome (5137168617315).

The spelling of 1124044213104 in words is "one trillion, one hundred twenty-four billion, forty-four million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 271 432 542 813 1084 1626 2168 2439 2713 3252 3539 4336 4878 5426 6504 7078 7317 8139 9756 10617 10852 13008 14156 14634 16278 19512 21234 21704 24417 28312 29268 31851 32556 39024 42468 43408 48834 56624 58536 63702 65112 73251 84936 95553 97668 117072 127404 130224 146502 169872 191106 195336 254808 293004 382212 390672 509616 586008 735223 764424 959069 1172016 1470446 1528848 1918138 2205669 2877207 2940892 3836276 4411338 5754414 5881784 6617007 7672552 8631621 8822676 9601307 11508828 11763568 13234014 15345104 17263242 17645352 19202614 19851021 23017656 25894863 26468028 28803921 34526484 35290704 38405228 39702042 46035312 51789726 52936056 57607842 69052968 76810456 79404084 86411763 103579452 105872112 115215684 138105936 153620912 158808168 172823526 207158904 230431368 259235289 317616336 345647052 414317808 460862736 518470578 691294104 1036941156 1382588208 2073882312 2601954197 4147764624 5203908394 7805862591 10407816788 15611725182 20815633576 23417587773 31223450364 41631267152 46835175546 62446900728 70252763319 93670351092 124893801456 140505526638 187340702184 281011053276 374681404368 562022106552 1124044213104