Search a number
-
+
414111234431 = 2967739288403
BaseRepresentation
bin1100000011010101111…
…00111111100101111111
31110120220010100100112002
412001222330333211333
523241044434000211
6514123504532515
741630030262116
oct6015274774577
91416803310462
10414111234431
1114a694aa5714
126831102113b
1330086cc53bb
1416086352c7d
15ab8a6a003b
hex606af3f97f

414111234431 has 16 divisors (see below), whose sum is σ = 435374678400. Its totient is φ = 393329569248.

The previous prime is 414111234419. The next prime is 414111234437. The reversal of 414111234431 is 134432111414.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 414111234431 - 210 = 414111233407 is a prime.

It is a super-2 number, since 2×4141112344312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414111234394 and 414111234403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414111234437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291676 + ... + 1580078.

It is an arithmetic number, because the mean of its divisors is an integer number (27210917400).

Almost surely, 2414111234431 is an apocalyptic number.

414111234431 is a deficient number, since it is larger than the sum of its proper divisors (21263443969).

414111234431 is a wasteful number, since it uses less digits than its factorization.

414111234431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289238.

The product of its digits is 4608, while the sum is 29.

Adding to 414111234431 its reverse (134432111414), we get a palindrome (548543345845).

The spelling of 414111234431 in words is "four hundred fourteen billion, one hundred eleven million, two hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 29 67 739 1943 21431 49513 288403 1435877 8363687 19323001 213129817 560367029 6180764693 14279697739 414111234431