Search a number
-
+
13215442551344 = 24114715683101869
BaseRepresentation
bin1100000001001111010111…
…0000100100001000110000
31201210101100220200002202222
43000103311300210020300
53213010211243120334
644035031314100212
72532532662152105
oct300236560441060
951711326602688
1013215442551344
114235701881320
1215952a8b7a668
1374b298412b27
143398b900aaac
1517db6d6dbd2e
hexc04f5c24230

13215442551344 has 80 divisors (see below), whose sum is σ = 28529050452480. Its totient is φ = 5878777831680.

The previous prime is 13215442551331. The next prime is 13215442551359. The reversal of 13215442551344 is 44315524451231.

It is a super-2 number, since 2×132154425513442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 13215442551295 and 13215442551304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129678842 + ... + 129780710.

It is an arithmetic number, because the mean of its divisors is an integer number (356613130656).

Almost surely, 213215442551344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13215442551344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264525226240).

13215442551344 is an abundant number, since it is smaller than the sum of its proper divisors (15313607901136).

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

13215442551344 is a wasteful number, since it uses less digits than its factorization.

13215442551344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117618 (or 117612 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 44.

The spelling of 13215442551344 in words is "thirteen trillion, two hundred fifteen billion, four hundred forty-two million, five hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 2068 4136 8272 15683 31366 62732 101869 125464 172513 203738 250928 345026 407476 690052 737101 814952 1120559 1380104 1474202 1629904 2241118 2760208 2948404 4482236 4787843 5896808 8108111 8964472 9575686 11793616 16216222 17928944 19151372 32432444 38302744 52666273 64864888 76605488 105332546 129729776 210665092 421330184 842660368 1597611527 3195223054 6390446108 12780892216 17573726797 25561784432 35147453594 70294907188 75087741769 140589814376 150175483538 281179628752 300350967076 600701934152 825965159459 1201403868304 1651930318918 3303860637836 6607721275672 13215442551344