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1406466141641 = 11213678503063
BaseRepresentation
bin10100011101110111111…
…010100010110111001001
311222110100001011211021022
4110131313322202313021
5141020420313013031
62554042134322225
7203420353643651
oct24356772426711
94873301154238
101406466141641
114a252a51a200
121a86ba7b9375
13a28244317a2
144c1052b9361
15268bab7397b
hex14777ea2dc9

1406466141641 has 12 divisors (see below), whose sum is σ = 1547081476416. Its totient is φ = 1277670096120.

The previous prime is 1406466141623. The next prime is 1406466141677. The reversal of 1406466141641 is 1461416646041.

It is a de Polignac number, because none of the positive numbers 2k-1406466141641 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1406466141592 and 1406466141601.

It is not an unprimeable number, because it can be changed into a prime (1406466147641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4086125 + ... + 4416938.

It is an arithmetic number, because the mean of its divisors is an integer number (128923456368).

Almost surely, 21406466141641 is an apocalyptic number.

1406466141641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1406466141641 is a deficient number, since it is larger than the sum of its proper divisors (140615334775).

1406466141641 is a wasteful number, since it uses less digits than its factorization.

1406466141641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504452 (or 8504441 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 1406466141641 in words is "one trillion, four hundred six billion, four hundred sixty-six million, one hundred forty-one thousand, six hundred forty-one".

Divisors: 1 11 121 1367 15037 165407 8503063 93533693 1028870623 11623687121 127860558331 1406466141641