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1140313421024 = 25314143652019
BaseRepresentation
bin10000100101111111111…
…110011111010011100000
311001000100101212202001022
4100211333332133103200
5122140330213433044
62231504110025012
7145246013103161
oct20457776372340
94030311782038
101140313421024
113aa67121a978
121650007a8168
13836b9a7735b
143d29753d768
151e9dec483ee
hex1097ff9f4e0

1140313421024 has 96 divisors (see below), whose sum is σ = 2429144847360. Its totient is φ = 525787315200.

The previous prime is 1140313421011. The next prime is 1140313421041. The reversal of 1140313421024 is 4201243130411.

It is a junction number, because it is equal to n+sod(n) for n = 1140313420984 and 1140313421002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1422887 + ... + 2074905.

It is an arithmetic number, because the mean of its divisors is an integer number (25303592160).

Almost surely, 21140313421024 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 1140313421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214572423680).

1140313421024 is an abundant number, since it is smaller than the sum of its proper divisors (1288831426336).

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

1140313421024 is a wasteful number, since it uses less digits than its factorization.

1140313421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652144 (or 652136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1140313421024 its reverse (4201243130411), we get a palindrome (5341556551435).

The spelling of 1140313421024 in words is "one trillion, one hundred forty billion, three hundred thirteen million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 41 43 62 82 86 124 164 172 248 328 344 496 656 688 992 1271 1312 1333 1376 1763 2542 2666 3526 5084 5332 7052 10168 10664 14104 20336 21328 28208 40672 42656 54653 56416 109306 218612 437224 652019 874448 1304038 1748896 2608076 5216152 10432304 20212589 20864608 26732779 28036817 40425178 53465558 56073634 80850356 106931116 112147268 161700712 213862232 224294536 323401424 427724464 448589072 646802848 828716149 855448928 869141327 897178144 1149509497 1657432298 1738282654 2299018994 3314864596 3476565308 4598037988 6629729192 6953130616 9196075976 13259458384 13906261232 18392151952 26518916768 27812522464 35634794407 36784303904 71269588814 142539177628 285078355256 570156710512 1140313421024