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1321331342144 = 26113727503593
BaseRepresentation
bin10011001110100101011…
…111000011101101000000
311200022120212000220120012
4103032211133003231000
5133122041310422034
62451002232204052
7164314552044302
oct23164537035500
94608525026505
101321331342144
1146a412106280
121940bb239628
13977a7561b98
1447d4a5cd972
15245869c2cce
hex133a57c3b40

1321331342144 has 56 divisors (see below), whose sum is σ = 2861155210368. Its totient is φ = 600442813440.

The previous prime is 1321331342129. The next prime is 1321331342161. The reversal of 1321331342144 is 4412431331231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1321331342144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2372012 + ... + 2875604.

It is an arithmetic number, because the mean of its divisors is an integer number (51092057328).

Almost surely, 21321331342144 is an apocalyptic number.

It is an amenable number.

1321331342144 is an abundant number, since it is smaller than the sum of its proper divisors (1539823868224).

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

1321331342144 is a wasteful number, since it uses less digits than its factorization.

1321331342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507343 (or 507333 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 1321331342144 its reverse (4412431331231), we get a palindrome (5733762673375).

The spelling of 1321331342144 in words is "one trillion, three hundred twenty-one billion, three hundred thirty-one million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 3727 7454 14908 29816 40997 59632 81994 119264 163988 238528 327976 503593 655952 1007186 1311904 2014372 2623808 4028744 5539523 8057488 11079046 16114976 22158092 32229952 44316184 88632368 177264736 354529472 1876891111 3753782222 7507564444 15015128888 20645802221 30030257776 41291604442 60060515552 82583208884 120121031104 165166417768 330332835536 660665671072 1321331342144