Search a number
-
+
44101120040381 is a prime number
BaseRepresentation
bin10100000011100000101111…
…00110000001110110111101
312210011000200212211000001102
422001300113212001312331
521240023043212243011
6233443435211422445
712201125603156165
oct1201602746016675
9183130625730042
1044101120040381
11130631a8604748
124b43113a54a25
131b7b943c4c201
14ac67115135a5
1551728840573b
hex281c17981dbd

44101120040381 has 2 divisors, whose sum is σ = 44101120040382. Its totient is φ = 44101120040380.

The previous prime is 44101120040297. The next prime is 44101120040441. The reversal of 44101120040381 is 18304002110144.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43660311684025 + 440808356356 = 6607595^2 + 663934^2 .

It is a cyclic number.

It is not a de Polignac number, because 44101120040381 - 234 = 44083940171197 is a prime.

It is a super-2 number, since 2×441011200403812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (44101120042381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22050560020190 + 22050560020191.

It is an arithmetic number, because the mean of its divisors is an integer number (22050560020191).

Almost surely, 244101120040381 is an apocalyptic number.

It is an amenable number.

44101120040381 is a deficient number, since it is larger than the sum of its proper divisors (1).

44101120040381 is an equidigital number, since it uses as much as digits as its factorization.

44101120040381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 44101120040381 in words is "forty-four trillion, one hundred one billion, one hundred twenty million, forty thousand, three hundred eighty-one".