Search a number
-
+
20020343041320 = 2335479293820997
BaseRepresentation
bin1001000110101010110010…
…11011110110110100101000
32121212221000010111002010120
410203111121123312310220
510111003130304310240
6110325115120043240
74134264523021146
oct443253133666450
977787003432116
1020020343041320
116419641799086
1222b40b0463520
13b22baaa793ab
144d2dbdd1c596
1524ab95cb3ad0
hex1235596f6d28

20020343041320 has 128 divisors (see below), whose sum is σ = 61404966259200. Its totient is φ = 5219541671936.

The previous prime is 20020343041241. The next prime is 20020343041343. The reversal of 20020343041320 is 2314034302002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3329062 + ... + 7150058.

It is an arithmetic number, because the mean of its divisors is an integer number (479726298900).

Almost surely, 220020343041320 is an apocalyptic number.

20020343041320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020343041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30702483129600).

20020343041320 is an abundant number, since it is smaller than the sum of its proper divisors (41384623217880).

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

20020343041320 is a wasteful number, since it uses less digits than its factorization.

20020343041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821987 (or 3821983 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20020343041320 its reverse (2314034302002), we get a palindrome (22334377343322).

The spelling of 20020343041320 in words is "twenty trillion, twenty billion, three hundred forty-three million, forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 929 940 1128 1410 1858 1880 2787 2820 3716 4645 5574 5640 7432 9290 11148 13935 18580 22296 27870 37160 43663 55740 87326 111480 130989 174652 218315 261978 349304 436630 523956 654945 873260 1047912 1309890 1746520 2619780 3820997 5239560 7641994 11462991 15283988 19104985 22925982 30567976 38209970 45851964 57314955 76419940 91703928 114629910 152839880 179586859 229259820 359173718 458519640 538760577 718347436 897934295 1077521154 1436694872 1795868590 2155042308 2693802885 3549706213 3591737180 4310084616 5387605770 7099412426 7183474360 10649118639 10775211540 14198824852 17748531065 21298237278 21550423080 28397649704 35497062130 42596474556 53245593195 70994124260 85192949112 106491186390 141988248520 166836192011 212982372780 333672384022 425964745560 500508576033 667344768044 834180960055 1001017152066 1334689536088 1668361920110 2002034304132 2502542880165 3336723840220 4004068608264 5005085760330 6673447680440 10010171520660 20020343041320