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1315021133344 = 25377315214517
BaseRepresentation
bin10011001000101101010…
…111100001011000100000
311122201022002021002102011
4103020231113201120200
5133021130402231334
62444040134402304
7164002310130142
oct23105527413040
94581262232364
101315021133344
11467774168a86
12192a39b00394
1397010132719
144790c510c92
1524317a11564
hex1322d5e1620

1315021133344 has 48 divisors (see below), whose sum is σ = 2695343150808. Its totient is φ = 630976407552.

The previous prime is 1315021133291. The next prime is 1315021133357. The reversal of 1315021133344 is 4433311205131.

It can be written as a sum of positive squares in 4 ways, for example, as 1300083404944 + 14937728400 = 1140212^2 + 122220^2 .

It is a super-2 number, since 2×13150211333442 (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 7520827 + ... + 7693690.

Almost surely, 21315021133344 is an apocalyptic number.

It is an amenable number.

1315021133344 is an abundant number, since it is smaller than the sum of its proper divisors (1380322017464).

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

1315021133344 is a wasteful number, since it uses less digits than its factorization.

1315021133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15214637 (or 15214629 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 1315021133344 its reverse (4433311205131), we get a palindrome (5748332338475).

The spelling of 1315021133344 in words is "one trillion, three hundred fifteen billion, twenty-one million, one hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 37 73 74 146 148 292 296 584 592 1168 1184 2336 2701 5402 10804 21608 43216 86432 15214517 30429034 60858068 121716136 243432272 486864544 562937129 1110659741 1125874258 2221319482 2251748516 4442638964 4503497032 8885277928 9006994064 17770555856 18013988128 35541111712 41094410417 82188820834 164377641668 328755283336 657510566672 1315021133344