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1130444304440 = 235112569191601
BaseRepresentation
bin10000011100110011101…
…110110011000000111000
311000001212121101200012212
4100130303232303000320
5122010122220220230
62223152520354252
7144446315021423
oct20346356630070
94001777350185
101130444304440
113a6467380580
12163107615988
13827a62247b9
143c9dc92a9ba
151e6135e0895
hex10733bb3038

1130444304440 has 32 divisors (see below), whose sum is σ = 2774726930160. Its totient is φ = 411070656000.

The previous prime is 1130444304401. The next prime is 1130444304491. The reversal of 1130444304440 is 444034440311.

It is a super-3 number, since 3×11304443044403 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130444304397 and 1130444304406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1284595361 + ... + 1284596240.

Almost surely, 21130444304440 is an apocalyptic number.

1130444304440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130444304440 is an abundant number, since it is smaller than the sum of its proper divisors (1644282625720).

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

1130444304440 is a wasteful number, since it uses less digits than its factorization.

1130444304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569191623 (or 2569191619 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1130444304440 its reverse (444034440311), we get a palindrome (1574478744751).

The spelling of 1130444304440 in words is "one trillion, one hundred thirty billion, four hundred forty-four million, three hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2569191601 5138383202 10276766404 12845958005 20553532808 25691916010 28261107611 51383832020 56522215222 102767664040 113044430444 141305538055 226088860888 282611076110 565222152220 1130444304440