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145694440039681 = 13191414111416937
BaseRepresentation
bin100001001000001000100001…
…010110000010010100000001
3201002212020211000210211001001
4201020020201112002110001
5123044024203122232211
61233511033551412001
742455035021013011
oct4110104126022401
9632766730724031
10145694440039681
1142471735179975
1214410685224001
13633ac08096040
1427d9911793c41
1511c9ca7aeeac1
hex848221582501

145694440039681 has 16 divisors (see below), whose sum is σ = 157727099593728. Its totient is φ = 133779729052800.

The previous prime is 145694440039661. The next prime is 145694440039691. The reversal of 145694440039681 is 186930044496541.

It is a cyclic number.

It is not a de Polignac number, because 145694440039681 - 27 = 145694440039553 is a prime.

It is a super-4 number, since 4×1456944400396814 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145694440039661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102115045 + ... + 103531981.

It is an arithmetic number, because the mean of its divisors is an integer number (9857943724608).

Almost surely, 2145694440039681 is an apocalyptic number.

It is an amenable number.

145694440039681 is a deficient number, since it is larger than the sum of its proper divisors (12032659554047).

145694440039681 is a wasteful number, since it uses less digits than its factorization.

145694440039681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458552.

The product of its (nonzero) digits is 89579520, while the sum is 64.

The spelling of 145694440039681 in words is "one hundred forty-five trillion, six hundred ninety-four billion, four hundred forty million, thirty-nine thousand, six hundred eighty-one".

Divisors: 1 13 191 2483 41411 538343 1416937 7909501 18420181 102823513 270634967 3518254571 58676778107 762798115391 11207264618437 145694440039681