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40120412031 = 3272479189929
BaseRepresentation
bin100101010111010111…
…001110011101111111
310211120001122002202100
4211113113032131333
51124131311141111
630233035400143
72620135606200
oct452727163577
9124501562670
1040120412031
1116018a21417
1279382b3053
133a24cc1b9b
141d285935a7
15109c36e756
hex9575ce77f

40120412031 has 36 divisors (see below), whose sum is σ = 67554302400. Its totient is φ = 22877967168.

The previous prime is 40120412021. The next prime is 40120412039. The reversal of 40120412031 is 13021402104.

40120412031 is a `hidden beast` number, since 401 + 20 + 41 + 203 + 1 = 666.

It is not a de Polignac number, because 40120412031 - 25 = 40120411999 is a prime.

It is a super-2 number, since 2×401204120312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40120411995 and 40120412013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40120412039) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116275 + ... + 306203.

It is an arithmetic number, because the mean of its divisors is an integer number (1876508400).

Almost surely, 240120412031 is an apocalyptic number.

40120412031 is a deficient number, since it is larger than the sum of its proper divisors (27433890369).

40120412031 is a wasteful number, since it uses less digits than its factorization.

40120412031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190428 (or 190418 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40120412031 its reverse (13021402104), we get a palindrome (53141814135).

The spelling of 40120412031 in words is "forty billion, one hundred twenty million, four hundred twelve thousand, thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 479 1437 3353 4311 10059 23471 30177 70413 189929 211239 569787 1329503 1709361 3988509 9306521 11965527 27919563 83758689 90975991 272927973 636831937 818783919 1910495811 4457823559 5731487433 13373470677 40120412031