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1140324003312 = 2431313968319249
BaseRepresentation
bin10000100110000000100…
…110110110110111110000
311001000101010210101012220
4100212000212312313300
5122140340421101222
62231505124521040
7145246202046264
oct20460046666760
94030333711186
101140324003312
113aa67719856a
12165004250180
13836bc010c70
143d298ad60a4
151e9e0b38b5c
hex109809b6df0

1140324003312 has 160 divisors (see below), whose sum is σ = 3200107680000. Its totient is φ = 347816595456.

The previous prime is 1140324003311. The next prime is 1140324003323. The reversal of 1140324003312 is 2133004230411.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140324003311) 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, 59231064 + ... + 59250312.

It is an arithmetic number, because the mean of its divisors is an integer number (20000673000).

Almost surely, 21140324003312 is an apocalyptic number.

1140324003312 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 1140324003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600053840000).

1140324003312 is an abundant number, since it is smaller than the sum of its proper divisors (2059783676688).

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

1140324003312 is a wasteful number, since it uses less digits than its factorization.

1140324003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20095 (or 20089 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1140324003312 its reverse (2133004230411), we get a palindrome (3273328233723).

The spelling of 1140324003312 in words is "one trillion, one hundred forty billion, three hundred twenty-four million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 139 156 208 278 312 417 556 624 683 834 1112 1366 1668 1807 2049 2224 2732 3336 3614 4098 5421 5464 6672 7228 8196 8879 10842 10928 14456 16392 17758 19249 21684 26637 28912 32784 35516 38498 43368 53274 57747 71032 76996 86736 94937 106548 115494 142064 153992 189874 213096 230988 250237 284811 307984 379748 426192 461976 500474 569622 750711 759496 923952 1000948 1139244 1234181 1501422 1518992 2001896 2278488 2468362 2675611 3002844 3702543 4003792 4556976 4936724 5351222 6005688 7405086 8026833 9873448 10702444 12011376 13147067 14810172 16053666 19746896 21404888 26294134 29620344 32107332 34782943 39441201 42809776 52588268 59240688 64214664 69565886 78882402 104348829 105176536 128429328 139131772 157764804 170911871 208697658 210353072 278263544 315529608 341823742 417395316 512735613 556527088 631059216 683647484 834790632 1025471226 1367294968 1669581264 1827442313 2050942452 2734589936 3654884626 4101884904 5482326939 7309769252 8203769808 10964653878 14619538504 21929307756 23756750069 29239077008 43858615512 47513500138 71270250207 87717231024 95027000276 142540500414 190054000552 285081000828 380108001104 570162001656 1140324003312