Search a number
-
+
320614400121216 = 2736712461691547
BaseRepresentation
bin100100011100110001101101…
…1011011011101100110000000
31120001012102210210122002200220
41020321203123123131212000
5314010421242412334331
63053520115545143040
7124350424501413465
oct11071433333354600
91501172723562626
10320614400121216
1193180892517283
122bb61275a8aa80
13109b8a67809726
145925b6960766c
15270edb2880296
hex12398db6dd980

320614400121216 has 64 divisors (see below), whose sum is σ = 864342925769280. Its totient is φ = 105276370180608.

The previous prime is 320614400121203. The next prime is 320614400121277. The reversal of 320614400121216 is 612121004416023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6230820046 + ... + 6230871501.

It is an arithmetic number, because the mean of its divisors is an integer number (13505358215145).

Almost surely, 2320614400121216 is an apocalyptic number.

It is an amenable number.

320614400121216 is an abundant number, since it is smaller than the sum of its proper divisors (543728525648064).

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

320614400121216 is a wasteful number, since it uses less digits than its factorization.

320614400121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12461691631 (or 12461691619 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 320614400121216 its reverse (612121004416023), we get a palindrome (932735404537239).

The spelling of 320614400121216 in words is "three hundred twenty trillion, six hundred fourteen billion, four hundred million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2144 3216 4288 6432 8576 12864 25728 12461691547 24923383094 37385074641 49846766188 74770149282 99693532376 149540298564 199387064752 299080597128 398774129504 598161194256 797548259008 834933333649 1196322388512 1595096518016 1669866667298 2392644777024 2504800000947 3339733334596 4785289554048 5009600001894 6679466669192 10019200003788 13358933338384 20038400007576 26717866676768 40076800015152 53435733353536 80153600030304 106871466707072 160307200060608 320614400121216