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13401344034 = 23213233271907
BaseRepresentation
bin11000111101100100…
…00100100000100010
31021120221222210222100
430132302010200202
5204421221002114
610053445151230
7653045354601
oct143662044042
937527883870
1013401344034
115757789141
1227200bb516
131357593c90
14911b9da38
155367cd909
hex31ec84822

13401344034 has 96 divisors (see below), whose sum is σ = 31554641664. Its totient is φ = 4086132480.

The previous prime is 13401344027. The next prime is 13401344057. The reversal of 13401344034 is 43044310431.

It is a junction number, because it is equal to n+sod(n) for n = 13401343989 and 13401344007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14775009 + ... + 14775915.

It is an arithmetic number, because the mean of its divisors is an integer number (328694184).

Almost surely, 213401344034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13401344034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15777320832).

13401344034 is an abundant number, since it is smaller than the sum of its proper divisors (18153297630).

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

13401344034 is a wasteful number, since it uses less digits than its factorization.

13401344034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13401344034 its reverse (43044310431), we get a palindrome (56445654465).

It can be divided in two parts, 13401 and 344034, that added together give a triangular number (357435 = T845).

The spelling of 13401344034 in words is "thirteen billion, four hundred one million, three hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 233 234 271 466 542 699 813 907 1398 1626 1814 2097 2439 2721 3029 3523 4194 4878 5442 6058 7046 8163 9087 10569 11791 16326 18174 21138 23582 27261 31707 35373 54522 63143 63414 70746 106119 126286 189429 211331 212238 245797 378858 422662 491594 568287 633993 737391 820859 1136574 1267986 1474782 1641718 1901979 2212173 2462577 2747303 3195361 3803958 4424346 4925154 5494606 6390722 7387731 8241909 9586083 14775462 16483818 19172166 24725727 28758249 49451454 57270701 57516498 114541402 171812103 343624206 515436309 744519113 1030872618 1489038226 2233557339 4467114678 6700672017 13401344034