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20400123413041 = 1672572811691519
BaseRepresentation
bin1001010001101110001100…
…00111000000001000110001
32200020020021200020220111221
410220313012013000020301
510133213423043204131
6111215404243305041
74203601034640451
oct450670607001061
980206250226457
1020400123413041
116555709922489
12235582007b181
13b4c953372638
1450752a987d61
152559c250b411
hex128dc61c0231

20400123413041 has 16 divisors (see below), whose sum is σ = 20675462492160. Its totient is φ = 20127169699840.

The previous prime is 20400123413039. The next prime is 20400123413051. The reversal of 20400123413041 is 14031432100402.

It is a cyclic number.

It is not a de Polignac number, because 20400123413041 - 21 = 20400123413039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20400123412997 and 20400123413015.

It is not an unprimeable number, because it can be changed into a prime (20400123413051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11214480 + ... + 12905998.

It is an arithmetic number, because the mean of its divisors is an integer number (1292216405760).

Almost surely, 220400123413041 is an apocalyptic number.

It is an amenable number.

20400123413041 is a deficient number, since it is larger than the sum of its proper divisors (275339079119).

20400123413041 is a wasteful number, since it uses less digits than its factorization.

20400123413041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692224.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 20400123413041 its reverse (14031432100402), we get a palindrome (34431555513443).

The spelling of 20400123413041 in words is "twenty trillion, four hundred billion, one hundred twenty-three million, four hundred thirteen thousand, forty-one".

Divisors: 1 167 257 281 42919 46927 72217 1691519 12060239 282483673 434720383 475316839 72598303961 79377912113 122156427623 20400123413041