Search a number
-
+
4314211234013 = 3110110713793997
BaseRepresentation
bin111110110001111011000…
…001110011000011011101
3120021102201210120012211202
4332301323001303003131
51031141001033442023
613101530555125245
7623456114300552
oct76617301630335
916242653505752
104314211234013
11141371285236a
12598158743825
13253a9cc24945
1410cb47a22a29
15773510c5128
hex3ec7b0730dd

4314211234013 has 32 divisors (see below), whose sum is σ = 4572688370688. Its totient is φ = 4065139008000.

The previous prime is 4314211234007. The next prime is 4314211234033. The reversal of 4314211234013 is 3104321124134.

It is a cyclic number.

It is not a de Polignac number, because 4314211234013 - 224 = 4314194456797 is a prime.

It is a super-3 number, since 3×43142112340133 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314211234033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45850331 + ... + 45944327.

It is an arithmetic number, because the mean of its divisors is an integer number (142896511584).

Almost surely, 24314211234013 is an apocalyptic number.

It is an amenable number.

4314211234013 is a deficient number, since it is larger than the sum of its proper divisors (258477136675).

4314211234013 is a wasteful number, since it uses less digits than its factorization.

4314211234013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94373.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 4314211234013 its reverse (3104321124134), we get a palindrome (7418532358147).

The spelling of 4314211234013 in words is "four trillion, three hundred fourteen billion, two hundred eleven million, two hundred thirty-four thousand, thirteen".

Divisors: 1 31 101 107 137 3131 3317 4247 10807 13837 14659 93997 335017 428947 454429 1480559 2913907 9493697 10057679 12877589 45897329 294304607 311788049 399205259 1015825579 1300636489 1377902023 31490592949 40319731159 42714962713 139168104323 4314211234013