Search a number
-
+
20141023003120 = 245252731996169
BaseRepresentation
bin1001001010001011100101…
…00001011000000111110000
32122022110111112010022212101
410211011302201120013300
510114442303342044440
6110500354102310144
74146066216536365
oct445056241300760
978273445108771
1020141023003120
11646583a4565a8
12231356ba28354
13b313a0aa8206
144d8b8b6a446c
1524ddaa7ce69a
hex1251728581f0

20141023003120 has 40 divisors (see below), whose sum is σ = 46828110777840. Its totient is φ = 8056369236480.

The previous prime is 20141023003117. The next prime is 20141023003151. The reversal of 20141023003120 is 2130032014102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×201410230031202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19720396 + ... + 20716564.

It is an arithmetic number, because the mean of its divisors is an integer number (1170702769446).

Almost surely, 220141023003120 is an apocalyptic number.

20141023003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20141023003120 is an abundant number, since it is smaller than the sum of its proper divisors (26687087774720).

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

20141023003120 is a wasteful number, since it uses less digits than its factorization.

20141023003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248913 (or 1248907 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20141023003120 its reverse (2130032014102), we get a palindrome (22271055017222).

The spelling of 20141023003120 in words is "twenty trillion, one hundred forty-one billion, twenty-three million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 252731 505462 996169 1010924 1263655 1992338 2021848 2527310 3984676 4043696 4980845 5054620 7969352 9961690 10109240 15938704 19923380 20218480 39846760 79693520 251762787539 503525575078 1007051150156 1258813937695 2014102300312 2517627875390 4028204600624 5035255750780 10070511501560 20141023003120