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1320143812000 = 25531325387381
BaseRepresentation
bin10011001101011110101…
…100111111010110100000
311200012112002111010110021
4103031132230333112200
5133112123303441000
62450244331243224
7164243252153266
oct23153654772640
94605462433407
101320143812000
11469962847302
12193a295a9514
1397648515520
1447c769c8436
15245175ec11a
hex1335eb3f5a0

1320143812000 has 96 divisors (see below), whose sum is σ = 3493100664144. Its totient is φ = 487437696000.

The previous prime is 1320143811979. The next prime is 1320143812033. The reversal of 1320143812000 is 2183410231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 142337180176 + 1177806631824 = 377276^2 + 1085268^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12641691 + ... + 12745690.

Almost surely, 21320143812000 is an apocalyptic number.

1320143812000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320143812000 is an abundant number, since it is smaller than the sum of its proper divisors (2172956852144).

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

1320143812000 is a wasteful number, since it uses less digits than its factorization.

1320143812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387419 (or 25387401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 1320143812000 in words is "one trillion, three hundred twenty billion, one hundred forty-three million, eight hundred twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 25387381 50774762 101549524 126936905 203099048 253873810 330035953 406198096 507747620 634684525 660071906 812396192 1015495240 1269369050 1320143812 1650179765 2030990480 2538738100 2640287624 3173422625 3300359530 4061980960 5077476200 5280575248 6346845250 6600719060 8250898825 10154952400 10561150496 12693690500 13201438120 16501797650 20309904800 25387381000 26402876240 33003595300 41254494125 50774762000 52805752480 66007190600 82508988250 101549524000 132014381200 165017976500 264028762400 330035953000 660071906000 1320143812000