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140042431321013 = 13294011699545231
BaseRepresentation
bin11111110101111000101011…
…010111110101001110110101
3200100211220222211020222112002
4133311320223113311032311
5121323423344404233023
61213502334345305045
741332505666413244
oct3765705327651665
9610756884228462
10140042431321013
11406927306447a1
12138591b2a95185
13601ac383c6c40
14268213874c95b
15112cc59684b28
hex7f5e2b5f53b5

140042431321013 has 32 divisors (see below), whose sum is σ = 156496850496000. Its totient is φ = 124427592576000.

The previous prime is 140042431321003. The next prime is 140042431321103. The reversal of 140042431321013 is 310123134240041.

It is a cyclic number.

It is not a de Polignac number, because 140042431321013 - 24 = 140042431320997 is a prime.

It is a super-2 number, since 2×1400424313210132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140042431321003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256577108 + ... + 257122338.

It is an arithmetic number, because the mean of its divisors is an integer number (4890526578000).

Almost surely, 2140042431321013 is an apocalyptic number.

140042431321013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

140042431321013 is a deficient number, since it is larger than the sum of its proper divisors (16454419174987).

140042431321013 is a wasteful number, since it uses less digits than its factorization.

140042431321013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547373.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 140042431321013 its reverse (310123134240041), we get a palindrome (450165565561054).

The spelling of 140042431321013 in words is "one hundred forty trillion, forty-two billion, four hundred thirty-one million, three hundred twenty-one thousand, thirteen".

Divisors: 1 13 29 377 401 1699 5213 11629 22087 49271 151177 545231 640523 681299 7088003 8856887 15811699 19757671 205552087 218637631 256849723 926347469 2842289203 6340491299 12042517097 26864076601 82426386887 349232995813 371465335069 4829049355897 10772494717001 140042431321013