Search a number
-
+
10400124439973 is a prime number
BaseRepresentation
bin1001011101010111011110…
…1110010000110110100101
31100211020112112221211101002
42113111313232100312211
52330343423324034343
634041430132243045
72122245531101132
oct227256756206645
940736475854332
1010400124439973
11334a73912aa74
1211bb744770485
135a595c4b6688
1427d523a45589
151307e771c8b8
hex97577b90da5

10400124439973 has 2 divisors, whose sum is σ = 10400124439974. Its totient is φ = 10400124439972.

The previous prime is 10400124439927. The next prime is 10400124440029. The reversal of 10400124439973 is 37993442100401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9495377242849 + 904747197124 = 3081457^2 + 951182^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10400124439973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400124439273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200062219986 + 5200062219987.

It is an arithmetic number, because the mean of its divisors is an integer number (5200062219987).

Almost surely, 210400124439973 is an apocalyptic number.

It is an amenable number.

10400124439973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400124439973 is an equidigital number, since it uses as much as digits as its factorization.

10400124439973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 10400124439973 in words is "ten trillion, four hundred billion, one hundred twenty-four million, four hundred thirty-nine thousand, nine hundred seventy-three".