Search a number
-
+
20341333221444 = 22321327500385109
BaseRepresentation
bin1001010000000000101011…
…11100001110000001000100
32200000121112111010201220100
410220000111330032001010
510131233022301041234
6111132402433404100
74166420125362114
oct450002574160104
980017474121810
1020341333221444
116532790340384
122346353409630
13b47244462211
14504750a59044
152541d10d0399
hex128015f0e044

20341333221444 has 72 divisors (see below), whose sum is σ = 51468007893120. Its totient is φ = 6773900956992.

The previous prime is 20341333221427. The next prime is 20341333221541. The reversal of 20341333221444 is 44412233314302.

20341333221444 is a `hidden beast` number, since 2 + 0 + 34 + 133 + 32 + 21 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20341333221399 and 20341333221408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238960762 + ... + 239045870.

It is an arithmetic number, because the mean of its divisors is an integer number (714833442960).

Almost surely, 220341333221444 is an apocalyptic number.

It is an amenable number.

20341333221444 is an abundant number, since it is smaller than the sum of its proper divisors (31126674671676).

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

20341333221444 is a wasteful number, since it uses less digits than its factorization.

20341333221444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91449 (or 91444 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 20341333221444 its reverse (44412233314302), we get a palindrome (64753566535746).

The spelling of 20341333221444 in words is "twenty trillion, three hundred forty-one billion, three hundred thirty-three million, two hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1327 2654 3981 5003 5308 7962 10006 11943 15009 15924 20012 23886 30018 45027 47772 60036 85109 90054 170218 180108 255327 340436 510654 765981 1021308 1531962 3063924 6638981 13277962 19916943 26555924 39833886 59750829 79667772 112939643 119501658 225879286 239003316 338818929 425800327 451758572 677637858 851600654 1016456787 1277400981 1355275716 1703201308 2032913574 2554801962 3832202943 4065827148 5109603924 7664405886 15328811772 565037033929 1130074067858 1695111101787 2260148135716 3390222203574 5085333305361 6780444407148 10170666610722 20341333221444