Search a number
-
+
1456422077231 = 112935912717511
BaseRepresentation
bin10101001100011001100…
…001010100001100101111
312011020021120002021212222
4111030121201110030233
5142330223022432411
63033023203345555
7210136332253022
oct25143141241457
95136246067788
101456422077231
11511735325a90
121b63209822bb
13a74560139a4
14506c3c191b9
1527d417124db
hex1531985432f

1456422077231 has 16 divisors (see below), whose sum is σ = 1648189555200. Its totient is φ = 1274803202400.

The previous prime is 1456422077221. The next prime is 1456422077233. The reversal of 1456422077231 is 1327702246541.

It is a cyclic number.

It is not a de Polignac number, because 1456422077231 - 218 = 1456421815087 is a prime.

It is a super-2 number, since 2×14564220772312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456422077233) 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 in 15 ways as a sum of consecutive naturals, for example, 6244235 + ... + 6473276.

It is an arithmetic number, because the mean of its divisors is an integer number (103011847200).

Almost surely, 21456422077231 is an apocalyptic number.

1456422077231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1456422077231 is a deficient number, since it is larger than the sum of its proper divisors (191767477969).

1456422077231 is a wasteful number, since it uses less digits than its factorization.

1456422077231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12717910.

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 1456422077231 in words is "one trillion, four hundred fifty-six billion, four hundred twenty-two million, seventy-seven thousand, two hundred thirty-one".

Divisors: 1 11 29 319 359 3949 10411 114521 12717511 139892621 368807819 4056886009 4565586449 50221450939 132402007021 1456422077231