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1130232224040 = 2335231133623933
BaseRepresentation
bin10000011100100111000…
…101110001100100101000
311000001022211022212121020
4100130213011301210220
5122004203422132130
62223115503012440
7144441131251263
oct20344705614450
94001284285536
101130232224040
113a6368697417
1216306859a120
13827712caa3a
143c9bc6c1cda
151e5eeb9be10
hex10727171928

1130232224040 has 128 divisors (see below), whose sum is σ = 3569430032640. Its totient is φ = 285739790336.

The previous prime is 1130232224029. The next prime is 1130232224047. The reversal of 1130232224040 is 404222320311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1130232224040.

It is not an unprimeable number, because it can be changed into a prime (1130232224047) by changing a digit.

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, 1500087 + ... + 2123846.

It is an arithmetic number, because the mean of its divisors is an integer number (27886172130).

Almost surely, 21130232224040 is an apocalyptic number.

1130232224040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130232224040 is an abundant number, since it is smaller than the sum of its proper divisors (2439197808600).

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

1130232224040 is a wasteful number, since it uses less digits than its factorization.

1130232224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624083 (or 3624079 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1130232224040 its reverse (404222320311), we get a palindrome (1534454544351).

The spelling of 1130232224040 in words is "one trillion, one hundred thirty billion, two hundred thirty-two million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 113 115 120 138 184 226 230 276 339 345 452 460 552 565 678 690 904 920 1130 1356 1380 1695 2260 2599 2712 2760 3390 4520 5198 6780 7797 10396 12995 13560 15594 20792 25990 31188 38985 51980 62376 77970 103960 155940 311880 3623933 7247866 10871799 14495732 18119665 21743598 28991464 36239330 43487196 54358995 72478660 83350459 86974392 108717990 144957320 166700918 217435980 250051377 333401836 409504429 416752295 434871960 500102754 666803672 819008858 833504590 1000205508 1228513287 1250256885 1638017716 1667009180 2000411016 2047522145 2457026574 2500513770 3276035432 3334018360 4095044290 4914053148 5001027540 6142566435 8190088580 9418601867 9828106296 10002055080 12285132870 16380177160 18837203734 24570265740 28255805601 37674407468 47093009335 49140531480 56511611202 75348814936 94186018670 113023222404 141279028005 188372037340 226046444808 282558056010 376744074680 565116112020 1130232224040