Search a number
-
+
34134514414 = 27111391918553
BaseRepresentation
bin11111110010100100…
…110101101011101110
310021002220002222220121
4133302210311223232
51024401413430124
623403045035154
72315612404510
oct376244655356
9107086088817
1034134514414
11135270529a0
1267476b5aba
1332acb23030
14191b5b5bb0
15d4bac02e4
hex7f2935aee

34134514414 has 64 divisors (see below), whose sum is σ = 68824949760. Its totient is φ = 12262129920.

The previous prime is 34134514411. The next prime is 34134514423. The reversal of 34134514414 is 41441543143.

It is a self number, because there is not a number n which added to its sum of digits gives 34134514414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134514411) 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, 1830562 + ... + 1849114.

It is an arithmetic number, because the mean of its divisors is an integer number (1075389840).

Almost surely, 234134514414 is an apocalyptic number.

34134514414 is an abundant number, since it is smaller than the sum of its proper divisors (34690435346).

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

34134514414 is a wasteful number, since it uses less digits than its factorization.

34134514414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19505.

The product of its digits is 46080, while the sum is 34.

The spelling of 34134514414 in words is "thirty-four billion, one hundred thirty-four million, five hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 919 1001 1838 2002 6433 10109 11947 12866 18553 20218 23894 37106 70763 83629 129871 131417 141526 167258 204083 241189 259742 262834 408166 482378 919919 1428581 1688323 1839838 2653079 2857162 3376646 5306158 17050207 18571553 34100414 37143106 119351449 187552277 221652691 238702898 375104554 443305382 1312865939 1551568837 2438179601 2625731878 3103137674 4876359202 17067257207 34134514414