Search a number
-
+
20430102140000 = 25547314272087
BaseRepresentation
bin1001010010100110000001…
…11110110001010001100000
32200100002122221112000202122
410221103000332301101200
510134211322121440000
6111241243115403412
74206011655626000
oct451230076612140
980302587460678
1020430102140000
1165673a3056793
12235b5a7a53568
13b527201c9a27
14508b72256000
15256679332085
hex1294c0fb1460

20430102140000 has 480 divisors, whose sum is σ = 58682725516800. Its totient is φ = 6996343872000.

The previous prime is 20430102139991. The next prime is 20430102140047. The reversal of 20430102140000 is 4120103402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9789218957 + ... + 9789221043.

It is an arithmetic number, because the mean of its divisors is an integer number (122255678160).

Almost surely, 220430102140000 is an apocalyptic number.

20430102140000 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 20430102140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29341362758400).

20430102140000 is an abundant number, since it is smaller than the sum of its proper divisors (38252623376800).

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

20430102140000 is an equidigital number, since it uses as much as digits as its factorization.

20430102140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20430102140000 its reverse (4120103402), we get a palindrome (20434222243402).

The spelling of 20430102140000 in words is "twenty trillion, four hundred thirty billion, one hundred two million, one hundred forty thousand".