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1340466640431 = 310931853922051
BaseRepresentation
bin10011100000011010000…
…010011011011000101111
311202010222102110210001120
4103200122002123120233
5133430233424443211
62503445112112023
7165563004306042
oct23403202333057
94663872423046
101340466640431
11477541522086
1219795b695613
1399536a518a9
1448c43b06c59
1524d06885d06
hex1381a09b62f

1340466640431 has 16 divisors (see below), whose sum is σ = 1789101694080. Its totient is φ = 892738173600.

The previous prime is 1340466640391. The next prime is 1340466640451.

It is a happy number.

1340466640431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1340466640431 - 211 = 1340466638383 is a prime.

It is a super-2 number, since 2×13404666404312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340466640451) 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 15 ways as a sum of consecutive naturals, for example, 60778356 + ... + 60800406.

It is an arithmetic number, because the mean of its divisors is an integer number (111818855880).

Almost surely, 21340466640431 is an apocalyptic number.

1340466640431 is a deficient number, since it is larger than the sum of its proper divisors (448635053649).

1340466640431 is a wasteful number, since it uses less digits than its factorization.

1340466640431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41686.

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 1340466640431 in words is "one trillion, three hundred forty billion, four hundred sixty-six million, six hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 1093 3279 18539 22051 55617 66153 20263127 24101743 60789381 72305229 408803489 1226410467 446822213477 1340466640431