Search a number
-
+
40414311123 = 31723711311149
BaseRepresentation
bin100101101000111000…
…010111001011010011
310212022112122201111220
4211220320113023103
51130232030423443
630322134540123
72630334655644
oct455070271323
9125275581456
1040414311123
111615990912a
1279ba807643
133a70b64a84
141d556196cb
1510b8075a83
hex968e172d3

40414311123 has 48 divisors (see below), whose sum is σ = 59314610400. Its totient is φ = 24452112384.

The previous prime is 40414311101. The next prime is 40414311137. The reversal of 40414311123 is 32111341404.

40414311123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40414311123 - 213 = 40414302931 is a prime.

It is a super-2 number, since 2×404143111232 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40414311093 and 40414311102.

It is not an unprimeable number, because it can be changed into a prime (40414311823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3619353 + ... + 3630501.

It is an arithmetic number, because the mean of its divisors is an integer number (1235721050).

Almost surely, 240414311123 is an apocalyptic number.

40414311123 is a deficient number, since it is larger than the sum of its proper divisors (18900299277).

40414311123 is a wasteful number, since it uses less digits than its factorization.

40414311123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11336 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 40414311123 its reverse (32111341404), we get a palindrome (72525652527).

The spelling of 40414311123 in words is "forty billion, four hundred fourteen million, three hundred eleven thousand, one hundred twenty-three".

Divisors: 1 3 17 37 51 111 113 289 339 629 867 1887 1921 4181 5763 10693 11149 12543 32079 32657 33447 71077 97971 189533 213231 412513 568599 1208309 1237539 1259837 3222061 3624927 3779511 7012721 9666183 21038163 21417229 46613969 64251687 119216257 139841907 357648771 364092893 792437473 1092278679 2377312419 13471437041 40414311123