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1140314233440 = 253522710465439
BaseRepresentation
bin10000100110000000000…
…001100101101001100000
311001000100110102000110210
4100212000001211221200
5122140330420432230
62231504135254120
7145246023025554
oct20460001455140
94030313360423
101140314233440
113aa671725298
12165000b1a340
13836b9ca0085
143d2976b1864
151e9ded58eb0
hex10980065a60

1140314233440 has 96 divisors (see below), whose sum is σ = 3607813923840. Its totient is φ = 302744190464.

The previous prime is 1140314233411. The next prime is 1140314233447. The reversal of 1140314233440 is 443324130411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1140314233398 and 1140314233407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140314233447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5123760 + ... + 5341679.

It is an arithmetic number, because the mean of its divisors is an integer number (37581395040).

Almost surely, 21140314233440 is an apocalyptic number.

1140314233440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140314233440 is an abundant number, since it is smaller than the sum of its proper divisors (2467499690400).

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

1140314233440 is a wasteful number, since it uses less digits than its factorization.

1140314233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10465684 (or 10465676 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1140314233440 its reverse (443324130411), we get a palindrome (1583638363851).

The spelling of 1140314233440 in words is "one trillion, one hundred forty billion, three hundred fourteen million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 227 240 454 480 681 908 1135 1362 1816 2270 2724 3405 3632 4540 5448 6810 7264 9080 10896 13620 18160 21792 27240 36320 54480 108960 10465439 20930878 31396317 41861756 52327195 62792634 83723512 104654390 125585268 156981585 167447024 209308780 251170536 313963170 334894048 418617560 502341072 627926340 837235120 1004682144 1255852680 1674470240 2375654653 2511705360 4751309306 5023410720 7126963959 9502618612 11878273265 14253927918 19005237224 23756546530 28507855836 35634819795 38010474448 47513093060 57015711672 71269639590 76020948896 95026186120 114031423344 142539279180 190052372240 228062846688 285078558360 380104744480 570157116720 1140314233440