Search a number
-
+
313431143342320 = 24517297947037103
BaseRepresentation
bin100011101000100000101111…
…1111101011110000011110000
31112002202201120021201012022101
41013101001133331132003300
5312040223440143423240
63030340140210550144
7123006436630263043
oct10721013775360360
91462681507635271
10313431143342320
1190961446313653
122b1a107b898354
13105b757890b273
145758210c4ac5a
1526380e3ab139a
hex11d105ff5e0f0

313431143342320 has 80 divisors (see below), whose sum is σ = 798200406725760. Its totient is φ = 113928723894272.

The previous prime is 313431143342279. The next prime is 313431143342321. The reversal of 313431143342320 is 23243341134313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 313431143342320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313431143342321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3973479112 + ... + 3973557991.

It is an arithmetic number, because the mean of its divisors is an integer number (9977505084072).

Almost surely, 2313431143342320 is an apocalyptic number.

It is an amenable number.

313431143342320 is an abundant number, since it is smaller than the sum of its proper divisors (484769263383440).

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

313431143342320 is a wasteful number, since it uses less digits than its factorization.

313431143342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947037162 (or 7947037156 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 37.

Adding to 313431143342320 its reverse (23243341134313), we get a palindrome (336674484476633).

The spelling of 313431143342320 in words is "three hundred thirteen trillion, four hundred thirty-one billion, one hundred forty-three million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 464 493 580 680 986 1160 1360 1972 2320 2465 3944 4930 7888 9860 19720 39440 7947037103 15894074206 31788148412 39735185515 63576296824 79470371030 127152593648 135099630751 158940742060 230464075987 270199261502 317881484120 460928151974 540398523004 635762968240 675498153755 921856303948 1080797046008 1152320379935 1350996307510 1843712607896 2161594092016 2304640759870 2701992615020 3687425215792 3917889291779 4609281519740 5403985230040 7835778583558 9218563039480 10807970460080 15671557167116 18437126078960 19589446458895 31343114334232 39178892917790 62686228668464 78357785835580 156715571671160 313431143342320