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40467168227161 = 1324893372
BaseRepresentation
bin10010011001101111111110…
…01011111110111101011001
312022021121211112100212010101
421030313333023332331121
520301003230031232121
6222022205504415401
711344441103334634
oct1114677713767531
9168247745325111
1040467168227161
111199203653a705
124656984917561
13197706477a300
149dc89b15cc1b
154a299d312491
hex24cdff2fef59

40467168227161 has 9 divisors (see below), whose sum is σ = 43819567569981. Its totient is φ = 37354232796192.

The previous prime is 40467168227153. The next prime is 40467168227177. The reversal of 40467168227161 is 16172286176404.

It is a happy number.

The square root of 40467168227161 is 6361381.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4877114479561 + 35590053747600 = 2208419^2 + 5965740^2 .

It is not a de Polignac number, because 40467168227161 - 23 = 40467168227153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40467168227261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82453285 + ... + 82942621.

It is an arithmetic number, because the mean of its divisors is an integer number (4868840841109).

Almost surely, 240467168227161 is an apocalyptic number.

40467168227161 is the 6361381-st square number.

40467168227161 is the 3180691-st centered octagonal number.

It is an amenable number.

40467168227161 is a deficient number, since it is larger than the sum of its proper divisors (3352399342820).

40467168227161 is an frugal number, since it uses more digits than its factorization.

40467168227161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978700 (or 489350 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 40467168227161 in words is "forty trillion, four hundred sixty-seven billion, one hundred sixty-eight million, two hundred twenty-seven thousand, one hundred sixty-one".

Divisors: 1 13 169 489337 6361381 82697953 239450699569 3112859094397 40467168227161