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1312234501440 = 26351971942681
BaseRepresentation
bin10011000110000111010…
…001010111010101000000
311122110002212201112002010
4103012013101113111000
5132444424013021230
62442455431252520
7163543252136652
oct23060721272500
94573085645063
101312234501440
11466574191205
121923a081a140
1396987a060c5
14477263aa6d2
15242030679b0
hex13187457540

1312234501440 has 112 divisors (see below), whose sum is σ = 4385625894720. Its totient is φ = 331511869440.

The previous prime is 1312234501393. The next prime is 1312234501477. The reversal of 1312234501440 is 441054322131.

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 = 1312234501398 and 1312234501407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35953101 + ... + 35989580.

It is an arithmetic number, because the mean of its divisors is an integer number (39157374060).

Almost surely, 21312234501440 is an apocalyptic number.

1312234501440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312234501440 is an abundant number, since it is smaller than the sum of its proper divisors (3073391393280).

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

1312234501440 is a wasteful number, since it uses less digits than its factorization.

1312234501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71942720 (or 71942710 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1312234501440 its reverse (441054322131), we get a palindrome (1753288823571).

The spelling of 1312234501440 in words is "one trillion, three hundred twelve billion, two hundred thirty-four million, five hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 71942681 143885362 215828043 287770724 359713405 431656086 575541448 719426810 863312172 1079140215 1151082896 1366910939 1438853620 1726624344 2158280430 2302165792 2733821878 2877707240 3453248688 4100732817 4316560860 4604331584 5467643756 5755414480 6834554695 6906497376 8201465634 8633121720 10935287512 11510828960 13669109390 13812994752 16402931268 17266243440 20503664085 21870575024 23021657920 27338218780 32805862536 34532486880 41007328170 43741150048 54676437560 65611725072 69064973760 82014656340 87482300096 109352875120 131223450144 164029312680 218705750240 262446900288 328058625360 437411500480 656117250720 1312234501440