Search a number
-
+
4145830864824 = 2331115703904791
BaseRepresentation
bin111100010101000110110…
…001101010011110111000
3112200100010002012012111210
4330111012301222132320
51020411130200133244
612452322435323120
7605345360623245
oct74250661523670
915610102165453
104145830864824
111359267494860
1256b5a64504a0
13240c476b79ac
141049331105cc
1572c98a554b9
hex3c546c6a7b8

4145830864824 has 32 divisors (see below), whose sum is σ = 11306811450240. Its totient is φ = 1256312383200.

The previous prime is 4145830864823. The next prime is 4145830864831. The reversal of 4145830864824 is 4284680385414.

It is a happy number.

It is a super-3 number, since 3×41458308648243 (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145830864823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7851952132 + ... + 7851952659.

It is an arithmetic number, because the mean of its divisors is an integer number (353337857820).

Almost surely, 24145830864824 is an apocalyptic number.

4145830864824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4145830864824 is an abundant number, since it is smaller than the sum of its proper divisors (7160980585416).

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

4145830864824 is a wasteful number, since it uses less digits than its factorization.

4145830864824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15703904811 (or 15703904807 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 57.

The spelling of 4145830864824 in words is "four trillion, one hundred forty-five billion, eight hundred thirty million, eight hundred sixty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 15703904791 31407809582 47111714373 62815619164 94223428746 125631238328 172742952701 188446857492 345485905402 376893714984 518228858103 690971810804 1036457716206 1381943621608 2072915432412 4145830864824