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1131143711472 = 24332997930817
BaseRepresentation
bin10000011101011101011…
…010110100101011110000
311000010200100110020022000
4100131131122310223300
5122013040242231342
62223350143214000
7144502536623115
oct20353532645360
94003610406260
101131143711472
113a6796155415
121632818a7300
13828880b7008
143ca6778c90c
151e654be744c
hex1075d6b4af0

1131143711472 has 160 divisors (see below), whose sum is σ = 3393390100800. Its totient is φ = 360292810752.

The previous prime is 1131143711471. The next prime is 1131143711483. The reversal of 1131143711472 is 2741173411311.

1131143711472 is a `hidden beast` number, since 1 + 1 + 3 + 114 + 3 + 71 + 1 + 472 = 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 (1131143711471) 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, 749808 + ... + 1680624.

It is an arithmetic number, because the mean of its divisors is an integer number (21208688130).

Almost surely, 21131143711472 is an apocalyptic number.

1131143711472 is a gapful number since it is divisible by the number (12) 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 1131143711472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696695050400).

1131143711472 is an abundant number, since it is smaller than the sum of its proper divisors (2262246389328).

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

1131143711472 is a wasteful number, since it uses less digits than its factorization.

1131143711472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930960 (or 930948 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The spelling of 1131143711472 in words is "one trillion, one hundred thirty-one billion, one hundred forty-three million, seven hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 97 108 116 144 174 194 216 232 261 291 348 388 432 464 522 582 696 776 783 873 1044 1164 1392 1552 1566 1746 2088 2328 2619 2813 3132 3492 4176 4656 5238 5626 6264 6984 8439 10476 11252 12528 13968 16878 20952 22504 25317 33756 41904 45008 50634 67512 75951 101268 135024 151902 202536 303804 405072 607608 930817 1215216 1861634 2792451 3723268 5584902 7446536 8377353 11169804 14893072 16754706 22339608 25132059 26993693 33509412 44679216 50264118 53987386 67018824 80981079 90289249 100528236 107974772 134037648 161962158 180578498 201056472 215949544 242943237 270867747 323924316 361156996 402112944 431899088 485886474 541735494 647848632 722313992 728829711 812603241 971772948 1083470988 1295697264 1444627984 1457659422 1625206482 1943545896 2166941976 2437809723 2618388221 2915318844 3250412964 3887091792 4333883952 4875619446 5236776442 5830637688 6500825928 7855164663 9751238892 10473552884 11661275376 13001651856 15710329326 19502477784 20947105768 23565493989 31420658652 39004955568 41894211536 47130987978 62841317304 70696481967 94261975956 125682634608 141392963934 188523951912 282785927868 377047903824 565571855736 1131143711472