Search a number
-
+
40214333424 = 2435315807521
BaseRepresentation
bin100101011100111101…
…100000011111110000
310211210121100210200110
4211130331200133300
51124324332132144
630250232421320
72622356123406
oct453475403760
9124717323613
1040214333424
1116066a40a01
127963847840
133a3b5b7985
141d36c41476
1510a57230b9
hex95cf607f0

40214333424 has 40 divisors (see below), whose sum is σ = 105847167312. Its totient is φ = 13151856640.

The previous prime is 40214333399. The next prime is 40214333431. The reversal of 40214333424 is 42433341204.

It is a happy number.

It is a super-2 number, since 2×402143334242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40214333391 and 40214333400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7901217 + ... + 7906304.

Almost surely, 240214333424 is an apocalyptic number.

It is an amenable number.

40214333424 is an abundant number, since it is smaller than the sum of its proper divisors (65632833888).

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

40214333424 is a wasteful number, since it uses less digits than its factorization.

40214333424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15807585 (or 15807579 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 40214333424 its reverse (42433341204), we get a palindrome (82647674628).

The spelling of 40214333424 in words is "forty billion, two hundred fourteen million, three hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 15807521 31615042 47422563 63230084 94845126 126460168 189690252 252920336 379380504 758761008 837798613 1675597226 2513395839 3351194452 5026791678 6702388904 10053583356 13404777808 20107166712 40214333424