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1340506536301 = 73157881132761
BaseRepresentation
bin10011100000011100011…
…010100111100101101101
311202011002012112200220101
4103200130122213211231
5133430324133130201
62503453055151101
7165564000361402
oct23403432474555
94664065480811
101340506536301
11477561aa1479
12197970b15491
13995420acc0a
1448c491302a9
1524d0a116d01
hex1381c6a796d

1340506536301 has 16 divisors (see below), whose sum is σ = 1369087414128. Its totient is φ = 1312221081600.

The previous prime is 1340506536283. The next prime is 1340506536331. The reversal of 1340506536301 is 1036356050431.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 66375793225 + 1274130743076 = 257635^2 + 1128774^2 .

It is a cyclic number.

It is not a de Polignac number, because 1340506536301 - 25 = 1340506536269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340506536331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10030761 + ... + 10163521.

It is an arithmetic number, because the mean of its divisors is an integer number (85567963383).

Almost surely, 21340506536301 is an apocalyptic number.

It is an amenable number.

1340506536301 is a deficient number, since it is larger than the sum of its proper divisors (28580877827).

1340506536301 is a wasteful number, since it uses less digits than its factorization.

1340506536301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133872.

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 1340506536301 in words is "one trillion, three hundred forty billion, five hundred six million, five hundred thirty-six thousand, three hundred one".

Divisors: 1 73 157 881 11461 64313 132761 138317 9691553 10097141 20843477 116962441 1521573821 8538258193 18363103237 1340506536301