Search a number
-
+
40121621564741 is a prime number
BaseRepresentation
bin10010001111101100010110…
…00000000100110101000101
312021001120220210100122110022
421013312023000010311011
520224323040110032431
6221155341332304525
711310456120223103
oct1107661300046505
9167046823318408
1040121621564741
111186953644a842
1245bba09a72145
1319505b66c82a2
149c9c7ad2ac73
154989c723107b
hex247d8b004d45

40121621564741 has 2 divisors, whose sum is σ = 40121621564742. Its totient is φ = 40121621564740.

The previous prime is 40121621564711. The next prime is 40121621564747. The reversal of 40121621564741 is 14746512612104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36463119940900 + 3658501623841 = 6038470^2 + 1912721^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40121621564741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40121621564692 and 40121621564701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40121621564747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20060810782370 + 20060810782371.

It is an arithmetic number, because the mean of its divisors is an integer number (20060810782371).

Almost surely, 240121621564741 is an apocalyptic number.

It is an amenable number.

40121621564741 is a deficient number, since it is larger than the sum of its proper divisors (1).

40121621564741 is an equidigital number, since it uses as much as digits as its factorization.

40121621564741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 40121621564741 in words is "forty trillion, one hundred twenty-one billion, six hundred twenty-one million, five hundred sixty-four thousand, seven hundred forty-one".