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40514210320 = 245506427629
BaseRepresentation
bin100101101110110101…
…011100101000010000
310212120111122010110011
4211232311130220100
51130433114212240
630340104044304
72632660051153
oct455665345020
9125514563404
1040514210320
1116200240951
127a28163694
133a8877171c
141d649c1c9a
1510c1c0a6ea
hex96ed5ca10

40514210320 has 20 divisors (see below), whose sum is σ = 94195539180. Its totient is φ = 16205684096.

The previous prime is 40514210273. The next prime is 40514210353. The reversal of 40514210320 is 2301241504.

It can be written as a sum of positive squares in 2 ways, for example, as 8510431504 + 32003778816 = 92252^2 + 178896^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 40514210291 and 40514210300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253213735 + ... + 253213894.

It is an arithmetic number, because the mean of its divisors is an integer number (4709776959).

Almost surely, 240514210320 is an apocalyptic number.

40514210320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40514210320 is an abundant number, since it is smaller than the sum of its proper divisors (53681328860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40514210320 is a wasteful number, since it uses less digits than its factorization.

40514210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506427642 (or 506427636 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 40514210320 its reverse (2301241504), we get a palindrome (42815451824).

The spelling of 40514210320 in words is "forty billion, five hundred fourteen million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 506427629 1012855258 2025710516 2532138145 4051421032 5064276290 8102842064 10128552580 20257105160 40514210320