Search a number
-
+
40114406583351 = 3243191354184421
BaseRepresentation
bin10010001111011110111001…
…11101000110110000110111
312021000220021222002121122100
421013233130331012300313
520224213301041131401
6221152145354233143
711310112251001662
oct1107573475066067
9167026258077570
1040114406583351
1111866473810501
1245ba5357257b3
13194ca069c1029
149c9794a0c6d9
15498703aedb86
hex247bdcf46c37

40114406583351 has 24 divisors (see below), whose sum is σ = 59321538680976. Its totient is φ = 26107353982080.

The previous prime is 40114406583343. The next prime is 40114406583367. The reversal of 40114406583351 is 15338560441104.

It is a happy number.

40114406583351 is a `hidden beast` number, since 4 + 0 + 1 + 14 + 4 + 0 + 6 + 583 + 3 + 51 = 666.

It is not a de Polignac number, because 40114406583351 - 23 = 40114406583343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40114406583297 and 40114406583306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40114406583331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26351880 + ... + 27832541.

It is an arithmetic number, because the mean of its divisors is an integer number (2471730778374).

Almost surely, 240114406583351 is an apocalyptic number.

40114406583351 is a deficient number, since it is larger than the sum of its proper divisors (19207132097625).

40114406583351 is a wasteful number, since it uses less digits than its factorization.

40114406583351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54186383 (or 54186380 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40114406583351 in words is "forty trillion, one hundred fourteen billion, four hundred six million, five hundred eighty-three thousand, three hundred fifty-one".

Divisors: 1 3 9 43 129 387 1913 5739 17217 82259 246777 740331 54184421 162553263 487659789 2329930103 6989790309 20969370927 103654797373 310964392119 932893176357 4457156287039 13371468861117 40114406583351