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1140313434440 = 235431319502633
BaseRepresentation
bin10000100101111111111…
…110100010100101001000
311001000100101220102110012
4100211333332202211020
5122140330214400230
62231504110211052
7145246013160245
oct20457776424510
94030311812405
101140313434440
113aa671229a64
121650007b3a88
13836b9a804ab
143d2975445cc
151e9dec4c395
hex1097ffa2948

1140313434440 has 64 divisors (see below), whose sum is σ = 2627368444800. Its totient is φ = 445179151872.

The previous prime is 1140313434427. The next prime is 1140313434451. The reversal of 1140313434440 is 444343130411.

It is a super-2 number, since 2×11403134344402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1140313434397 and 1140313434406.

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, 2017364 + ... + 2519996.

It is an arithmetic number, because the mean of its divisors is an integer number (41052631950).

Almost surely, 21140313434440 is an apocalyptic number.

1140313434440 is a gapful number since it is divisible by the number (10) 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 1140313434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313684222400).

1140313434440 is an abundant number, since it is smaller than the sum of its proper divisors (1487055010360).

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

1140313434440 is a wasteful number, since it uses less digits than its factorization.

1140313434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504006 (or 504002 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1140313434440 its reverse (444343130411), we get a palindrome (1584656564851).

The spelling of 1140313434440 in words is "one trillion, one hundred forty billion, three hundred thirteen million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1319 1720 2638 5276 6595 10552 13190 26380 52760 56717 113434 226868 283585 453736 502633 567170 1005266 1134340 2010532 2268680 2513165 4021064 5026330 10052660 20105320 21613219 43226438 86452876 108066095 172905752 216132190 432264380 662972927 864528760 1325945854 2651891708 3314864635 5303783416 6629729270 13259458540 26518917080 28507835861 57015671722 114031343444 142539179305 228062686888 285078358610 570156717220 1140313434440