Search a number
-
+
414320141023414 = 2416775413203681
BaseRepresentation
bin101111000110100100110110…
…0110101000011100010110110
32000022222121201000000002122121
41132031021230311003202312
5413301210122100222124
64025104013431150154
7153161433222154333
oct13615115465034266
92008877630002577
10414320141023414
1111001920433857a
123a576028b1535a
1314a252b5c83322
1474452b7b2d98a
1532d763ea112e4
hex178d26cd438b6

414320141023414 has 16 divisors (see below), whose sum is σ = 646140329147376. Its totient is φ = 199090857715200.

The previous prime is 414320141023391. The next prime is 414320141023447.

414320141023414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4143201410234142 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414320141023414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37706596347 + ... + 37706607334.

It is an arithmetic number, because the mean of its divisors is an integer number (40383770571711).

Almost surely, 2414320141023414 is an apocalyptic number.

414320141023414 is a deficient number, since it is larger than the sum of its proper divisors (231820188123962).

414320141023414 is a wasteful number, since it uses less digits than its factorization.

414320141023414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75413203791.

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 414320141023414 in words is "four hundred fourteen trillion, three hundred twenty billion, one hundred forty-one million, twenty-three thousand, four hundred fourteen".

Divisors: 1 2 41 67 82 134 2747 5494 75413203681 150826407362 3091941350921 5052684646627 6183882701842 10105369293254 207160070511707 414320141023414