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1340538350431 = 72731372735519
BaseRepresentation
bin10011100000011110010…
…011111110101101011111
311202011011102102000200111
4103200132103332231133
5133430410304203211
62503500153110451
7165564534654100
oct23403623765537
94664142360614
101340538350431
11477578a50945
1219797b6b8427
139954886b847
1448c4d4523a7
1524d0cced421
hex1381e4feb5f

1340538350431 has 24 divisors (see below), whose sum is σ = 1592302423680. Its totient is φ = 1125020074752.

The previous prime is 1340538350401. The next prime is 1340538350471.

1340538350431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1340538350431 - 217 = 1340538219359 is a prime.

It is a super-2 number, since 2×13405383504312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340538350401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 877711 + ... + 1857808.

It is an arithmetic number, because the mean of its divisors is an integer number (66345934320).

Almost surely, 21340538350431 is an apocalyptic number.

1340538350431 is a deficient number, since it is larger than the sum of its proper divisors (251764073249).

1340538350431 is a wasteful number, since it uses less digits than its factorization.

1340538350431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735743 (or 2735736 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 1340538350431 in words is "one trillion, three hundred forty billion, five hundred thirty-eight million, three hundred fifty thousand, four hundred thirty-one".

Divisors: 1 7 49 73 137 511 959 3577 6713 10001 70007 490049 2735519 19148633 134040431 199692887 374766103 1397850209 2623362721 9784951463 18363539047 27357925519 191505478633 1340538350431