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1430113124440 = 2357111335717111
BaseRepresentation
bin10100110011111001011…
…000101000000001011000
312001201101001011000102001
4110303321120220001120
5141412332424440230
63012552423250344
7205215351662530
oct24637130500130
95051331130361
101430113124440
115015646373a0
121b11b9ba99b4
13a4b225594c0
144d309aa04c0
1527301b820ca
hex14cf9628058

1430113124440 has 128 divisors (see below), whose sum is σ = 4320341867520. Its totient is φ = 411461107200.

The previous prime is 1430113124411. The next prime is 1430113124449. The reversal of 1430113124440 is 444213110341.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1430113124399 and 1430113124408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430113124449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17818516 + ... + 17898595.

It is an arithmetic number, because the mean of its divisors is an integer number (33752670840).

Almost surely, 21430113124440 is an apocalyptic number.

1430113124440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1430113124440 is an abundant number, since it is smaller than the sum of its proper divisors (2890228743080).

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

1430113124440 is a wasteful number, since it uses less digits than its factorization.

1430113124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35717153 (or 35717149 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1430113124440 its reverse (444213110341), we get a palindrome (1874326234781).

The spelling of 1430113124440 in words is "one trillion, four hundred thirty billion, one hundred thirteen million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 35717111 71434222 142868444 178585555 250019777 285736888 357171110 392888221 464322443 500039554 714342220 785776442 928644886 1000079108 1250098885 1428684440 1571552884 1857289772 1964441105 2000158216 2321612215 2500197770 2750217547 3143105768 3250257101 3714579544 3928882210 4643224430 5000395540 5107546873 5500435094 6500514202 7857764420 9286448860 10000791080 10215093746 11000870188 13001028404 13751087735 15715528840 16251285505 18572897720 20430187492 22001740376 25537734365 26002056808 27502175470 32502571010 35752828111 40860374984 51075468730 55004350940 65005142020 71505656222 102150937460 110008701880 130010284040 143011312444 178764140555 204301874920 286022624888 357528281110 715056562220 1430113124440