Search a number
-
+
1130304400440 = 233526687352951
BaseRepresentation
bin10000011100101011011…
…001000110110000111000
311000001111212010211000020
4100130223121012300320
5122004330411303230
62223131002010440
7144442665611145
oct20345331066070
94001455124006
101130304400440
113a63a5404636
121630887a6a20
138278324c077
143c9c810d3cc
151e6061a7810
hex1072b646c38

1130304400440 has 64 divisors (see below), whose sum is σ = 3391049871360. Its totient is φ = 301402358400.

The previous prime is 1130304400399. The next prime is 1130304400531. The reversal of 1130304400440 is 440044030311.

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 1130304400440.

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, 3025965 + ... + 3378915.

It is an arithmetic number, because the mean of its divisors is an integer number (52985154240).

Almost surely, 21130304400440 is an apocalyptic number.

1130304400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130304400440 is an abundant number, since it is smaller than the sum of its proper divisors (2260745470920).

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

1130304400440 is a wasteful number, since it uses less digits than its factorization.

1130304400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379652 (or 379648 counting only the distinct ones).

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

Adding to 1130304400440 its reverse (440044030311), we get a palindrome (1570348430751).

The spelling of 1130304400440 in words is "one trillion, one hundred thirty billion, three hundred four million, four hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 26687 53374 80061 106748 133435 160122 213496 266870 320244 352951 400305 533740 640488 705902 800610 1058853 1067480 1411804 1601220 1764755 2117706 2823608 3202440 3529510 4235412 5294265 7059020 8470824 10588530 14118040 21177060 42354120 9419203337 18838406674 28257610011 37676813348 47096016685 56515220022 75353626696 94192033370 113030440044 141288050055 188384066740 226060880088 282576100110 376768133480 565152200220 1130304400440