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1312033143296 = 2916725759707
BaseRepresentation
bin10011000101111011010…
…001001111101000000000
311122102120211211110122002
4103011323101033220000
5132444020441041141
62442423435403132
7163535255464661
oct23057321175000
94572524743562
101312033143296
11466480560917
121923452b34a8
1396955094885
1447707753368
15241e0540e9b
hex1317b44fa00

1312033143296 has 80 divisors (see below), whose sum is σ = 2647507173696. Its totient is φ = 649540141056.

The previous prime is 1312033143287. The next prime is 1312033143299. The reversal of 1312033143296 is 6923413302131.

It is not an unprimeable number, because it can be changed into a prime (1312033143299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21944675 + ... + 22004381.

Almost surely, 21312033143296 is an apocalyptic number.

1312033143296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312033143296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323753586848).

1312033143296 is an abundant number, since it is smaller than the sum of its proper divisors (1335474030400).

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

1312033143296 is an equidigital number, since it uses as much as digits as its factorization.

1312033143296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60149 (or 60133 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The spelling of 1312033143296 in words is "one trillion, three hundred twelve billion, thirty-three million, one hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 167 256 257 334 512 514 668 1028 1336 2056 2672 4112 5344 8224 10688 16448 21376 32896 42752 42919 59707 65792 85504 85838 119414 131584 171676 238828 343352 477656 686704 955312 1373408 1910624 2746816 3821248 5493632 7642496 9971069 10987264 15284992 15344699 19942138 21974528 30569984 30689398 39884276 61378796 79768552 122757592 159537104 245515184 319074208 491030368 638148416 982060736 1276296832 1964121472 2552593664 2562564733 3928242944 5105187328 5125129466 7856485888 10250258932 20500517864 41001035728 82002071456 164004142912 328008285824 656016571648 1312033143296