Search a number
-
+
4216436346123 = 3217233241149057
BaseRepresentation
bin111101010110110111001…
…100001100110100001011
3112221002100200212021120200
4331112313030030310023
51023040230201033443
612545000520023243
7613425136411431
oct75266714146413
915832320767520
104216436346123
1113861a94389a1
12581210001b23
132477ba3c9ab1
141081102d8d51
1574a2c3b7dd3
hex3d5b730cd0b

4216436346123 has 48 divisors (see below), whose sum is σ = 6479162273376. Its totient is φ = 2633106309120.

The previous prime is 4216436346053. The next prime is 4216436346137. The reversal of 4216436346123 is 3216436346124.

It is a happy number.

4216436346123 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 4 + 3 + 634 + 6 + 1 + 2 + 3 = 666.

It is not a de Polignac number, because 4216436346123 - 226 = 4216369237259 is a prime.

It is a super-2 number, since 2×42164363461232 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4216436346623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85925211 + ... + 85974267.

It is an arithmetic number, because the mean of its divisors is an integer number (134982547362).

Almost surely, 24216436346123 is an apocalyptic number.

4216436346123 is a deficient number, since it is larger than the sum of its proper divisors (2262725927253).

4216436346123 is a wasteful number, since it uses less digits than its factorization.

4216436346123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51724 (or 51721 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

Subtracting from 4216436346123 its reverse (3216436346124), we obtain a palindrome (999999999999).

The spelling of 4216436346123 in words is "four trillion, two hundred sixteen billion, four hundred thirty-six million, three hundred forty-six thousand, one hundred twenty-three".

Divisors: 1 3 9 17 51 153 233 699 2097 2411 3961 7233 11883 21699 35649 40987 49057 122961 147171 368883 441513 561763 833969 1685289 2501907 5055867 7505721 9549971 11430281 28649913 34290843 85949739 102872529 118276427 194314777 354829281 582944331 1064487843 1748832993 2010699259 6032097777 18096293331 27558407491 82675222473 248025667419 468492927347 1405478782041 4216436346123