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1298412391441 = 11271214592
BaseRepresentation
bin10010111001001111011…
…010001100110000010001
311121010102120222120201011
4102321033122030300101
5132233122033011231
62432252111410521
7162543604141114
oct22711732146021
94533376876634
101298412391441
11460720a44400
1218b783823a41
139559420c8a9
1446bb479c57b
1523b948729b1
hex12e4f68cc11

1298412391441 has 27 divisors (see below), whose sum is σ = 1448557654089. Its totient is φ = 1162952267400.

The previous prime is 1298412391403. The next prime is 1298412391481. The reversal of 1298412391441 is 1441932148921.

The square root of 1298412391441 is 1139479.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2k-1298412391441 is a prime.

It is a super-2 number, since 2×12984123914412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1298412391481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 889932370 + ... + 889933828.

Almost surely, 21298412391441 is an apocalyptic number.

1298412391441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1298412391441 is the 1139479-th square number.

1298412391441 is the 569740-th centered octagonal number.

It is an amenable number.

1298412391441 is a deficient number, since it is larger than the sum of its proper divisors (150145262648).

1298412391441 is an frugal number, since it uses more digits than its factorization.

1298412391441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 1541 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

Multiplying 1298412391441 by its sum of digits (49), we get a square (63622207180609 = 79763532).

The spelling of 1298412391441 in words is "one trillion, two hundred ninety-eight billion, four hundred twelve million, three hundred ninety-one thousand, four hundred forty-one".

Divisors: 1 11 71 121 781 1459 5041 8591 16049 55451 103589 176539 609961 1139479 2128681 7354819 12534269 23415491 80903009 151136351 257570401 889933099 1662499861 10730680921 18287498471 118037490131 1298412391441