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40114101024 = 2532139285073
BaseRepresentation
bin100101010110111111…
…001001101100100000
310211112121202110200100
4211112333021230200
51124123202213044
630232252222400
72620031142564
oct452677115440
9124477673610
1040114101024
1116015400908
12793616aa00
133a238c246a
141d277cd6a4
15109ba24869
hex956fc9b20

40114101024 has 36 divisors (see below), whose sum is σ = 114074475606. Its totient is φ = 13371366912.

The previous prime is 40114101011. The next prime is 40114101031. The reversal of 40114101024 is 42010141104.

40114101024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31265312400 + 8848788624 = 176820^2 + 94068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×401141010242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40114100988 and 40114101006.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69642249 + ... + 69642824.

Almost surely, 240114101024 is an apocalyptic number.

It is an amenable number.

40114101024 is an abundant number, since it is smaller than the sum of its proper divisors (73960374582).

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

40114101024 is a wasteful number, since it uses less digits than its factorization.

40114101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139285089 (or 139285078 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 40114101024 its reverse (42010141104), we get a palindrome (82124242128).

The spelling of 40114101024 in words is "forty billion, one hundred fourteen million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 139285073 278570146 417855219 557140292 835710438 1114280584 1253565657 1671420876 2228561168 2507131314 3342841752 4457122336 5014262628 6685683504 10028525256 13371367008 20057050512 40114101024