Search a number
-
+
414312423432 = 23331355153411
BaseRepresentation
bin1100000011101101111…
…00011110000000001000
31110121102010220210221120
412001312330132000020
523242002440022212
6514155453035240
741635022331015
oct6016674360010
91417363823846
10414312423432
1114a78861aa16
1268368485b20
13300b98a794b
14160a4d6470c
15ab9d19188c
hex6076f1e008

414312423432 has 32 divisors (see below), whose sum is σ = 1039090282080. Its totient is φ = 137662911360.

The previous prime is 414312423353. The next prime is 414312423433. The reversal of 414312423432 is 234324213414.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 414312423393 and 414312423402.

It is not an unprimeable number, because it can be changed into a prime (414312423433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27569194 + ... + 27584217.

It is an arithmetic number, because the mean of its divisors is an integer number (32471571315).

Almost surely, 2414312423432 is an apocalyptic number.

It is an amenable number.

414312423432 is an abundant number, since it is smaller than the sum of its proper divisors (624777858648).

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

414312423432 is a wasteful number, since it uses less digits than its factorization.

414312423432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55153733 (or 55153729 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 414312423432 its reverse (234324213414), we get a palindrome (648636636846).

The spelling of 414312423432 in words is "four hundred fourteen billion, three hundred twelve million, four hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 313 626 939 1252 1878 2504 3756 7512 55153411 110306822 165460233 220613644 330920466 441227288 661840932 1323681864 17263017643 34526035286 51789052929 69052070572 103578105858 138104141144 207156211716 414312423432