Search a number
-
+
1950957842141 = 711228171110449
BaseRepresentation
bin11100011000111110001…
…001100010111011011101
320220111202121101002202002
4130120332021202323131
5223431030201422031
64052131353212045
7260644361020010
oct34307611427335
96814677332662
101950957842141
1169243a927810
12276137a01025
13111c89090a59
146a5d9455377
1535b3778cccb
hex1c63e262edd

1950957842141 has 16 divisors (see below), whose sum is σ = 2432471817600. Its totient is φ = 1520158894080.

The previous prime is 1950957842137. The next prime is 1950957842177. The reversal of 1950957842141 is 1412487590591.

It is a cyclic number.

It is not a de Polignac number, because 1950957842141 - 22 = 1950957842137 is a prime.

It is a super-2 number, since 2×19509578421412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950957842191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201685 + ... + 2312133.

It is an arithmetic number, because the mean of its divisors is an integer number (152029488600).

Almost surely, 21950957842141 is an apocalyptic number.

1950957842141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1950957842141 is a deficient number, since it is larger than the sum of its proper divisors (481513975459).

1950957842141 is a wasteful number, since it uses less digits than its factorization.

1950957842141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133284.

The product of its (nonzero) digits is 3628800, while the sum is 56.

The spelling of 1950957842141 in words is "one trillion, nine hundred fifty billion, nine hundred fifty-seven million, eight hundred forty-two thousand, one hundred forty-one".

Divisors: 1 7 11 77 22817 159719 250987 1110449 1756909 7773143 12214939 85504573 25337114833 177359803831 278708263163 1950957842141