Search a number
-
+
40294631016 = 23321327421739
BaseRepresentation
bin100101100001101111…
…110100011001101000
310212000012110100021100
4211201233310121220
51130010411143031
630302221441400
72624352466233
oct454157643150
9125005410240
1040294631016
11160a82a5752
127986710260
133a52120643
141d4378441a
1510ac7d4de6
hex961bf4668

40294631016 has 48 divisors (see below), whose sum is σ = 109213790400. Its totient is φ = 13421390112.

The previous prime is 40294631009. The next prime is 40294631029. The reversal of 40294631016 is 61013649204.

40294631016 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 4 + 631 + 0 + 16 = 666.

40294631016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115326 + ... + 306413.

It is an arithmetic number, because the mean of its divisors is an integer number (2275287300).

Almost surely, 240294631016 is an apocalyptic number.

It is an amenable number.

40294631016 is an abundant number, since it is smaller than the sum of its proper divisors (68919159384).

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

40294631016 is a wasteful number, since it uses less digits than its factorization.

40294631016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423078 (or 423071 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 40294631016 in words is "forty billion, two hundred ninety-four million, six hundred thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1327 2654 3981 5308 7962 10616 11943 15924 23886 31848 47772 95544 421739 843478 1265217 1686956 2530434 3373912 3795651 5060868 7591302 10121736 15182604 30365208 559647653 1119295306 1678942959 2238590612 3357885918 4477181224 5036828877 6715771836 10073657754 13431543672 20147315508 40294631016