Search a number
-
+
416211234430414 = 219311777198829619
BaseRepresentation
bin101111010100010101011101…
…0110001111001110111001110
32000120200101221112212210200011
41132220222322301321313032
5414023201102003233124
64033112445042023434
7153445161250665433
oct13650527261716716
92016611845783604
10416211234430414
111106882142600a5
123a820638347b7a
1314b31721700597
1474aca346ddb8a
15331b9218c8994
hex17a8abac79dce

416211234430414 has 32 divisors (see below), whose sum is σ = 678756603571200. Its totient is φ = 190685556846720.

The previous prime is 416211234430403. The next prime is 416211234430417. The reversal of 416211234430414 is 414034432112614.

It is a super-2 number, since 2×4162112344304142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416211234430417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97321504 + ... + 101508115.

It is an arithmetic number, because the mean of its divisors is an integer number (21211143861600).

Almost surely, 2416211234430414 is an apocalyptic number.

416211234430414 is a deficient number, since it is larger than the sum of its proper divisors (262545369140786).

416211234430414 is a wasteful number, since it uses less digits than its factorization.

416211234430414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198831448.

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 416211234430414 in words is "four hundred sixteen trillion, two hundred eleven billion, two hundred thirty-four million, four hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 19 31 38 62 589 1178 1777 3554 33763 55087 67526 110174 1046653 2093306 198829619 397659238 3777762761 6163718189 7555525522 12327436378 117110645591 234221291182 353320232963 706640465926 6713084426297 10952927221853 13426168852594 21905854443706 208105617215207 416211234430414