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1320233411441 = 72375237971747
BaseRepresentation
bin10011001101100100000…
…010110010001101110001
311200012202100002020210002
4103031210002302031301
5133112314223131231
62450301251515345
7164245420560200
oct23154402621561
94605670066702
101320233411441
114699a938472a
12193a535b8b55
1397660c57049
1447c8486d237
15245203ea0cb
hex133640b2371

1320233411441 has 48 divisors (see below), whose sum is σ = 1583193721536. Its totient is φ = 1096931735424.

The previous prime is 1320233411417. The next prime is 1320233411459. The reversal of 1320233411441 is 1441143320231.

It is not a de Polignac number, because 1320233411441 - 226 = 1320166302577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1320233411411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755713730 + ... + 755715476.

It is an arithmetic number, because the mean of its divisors is an integer number (32983202532).

Almost surely, 21320233411441 is an apocalyptic number.

It is an amenable number.

1320233411441 is a deficient number, since it is larger than the sum of its proper divisors (262960310095).

1320233411441 is a wasteful number, since it uses less digits than its factorization.

1320233411441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 1320233411441 its reverse (1441143320231), we get a palindrome (2761376731672).

The spelling of 1320233411441 in words is "one trillion, three hundred twenty billion, two hundred thirty-three million, four hundred eleven thousand, four hundred forty-one".

Divisors: 1 7 37 49 259 523 797 1747 1813 3661 5579 12229 19351 25627 29489 39053 64639 85603 135457 206423 416831 452473 913681 948199 1392359 1444961 2917817 3167311 6395767 9746513 15422747 20424719 33806197 44770369 51517283 68225591 107959229 236643379 360620981 728203757 755714603 1656503653 2524346867 5097426299 26943539009 35681984093 188604773063 1320233411441