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13142124410140 = 22511148340281139
BaseRepresentation
bin1011111100111110001110…
…1010000011010100011100
31201112101010020122121212201
42333033203222003110130
53210310032322111030
643541224131541244
72524326044222305
oct277174352032434
951471106577781
1013142124410140
1142075a86846a0
121583046a5a824
137443b2703b1b
143361218557ac
1517bccbb432ca
hexbf3e3a8351c

13142124410140 has 48 divisors (see below), whose sum is σ = 30127714727040. Its totient is φ = 4775731721280.

The previous prime is 13142124410123. The next prime is 13142124410161. The reversal of 13142124410140 is 4101442124131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13142124410099 and 13142124410108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19814310 + ... + 20466829.

It is an arithmetic number, because the mean of its divisors is an integer number (627660723480).

Almost surely, 213142124410140 is an apocalyptic number.

13142124410140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142124410140 is an abundant number, since it is smaller than the sum of its proper divisors (16985590316900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13142124410140 is a wasteful number, since it uses less digits than its factorization.

13142124410140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40282642 (or 40282640 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 13142124410140 its reverse (4101442124131), we get a palindrome (17243566534271).

The spelling of 13142124410140 in words is "thirteen trillion, one hundred forty-two billion, one hundred twenty-four million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1483 2966 5932 7415 14830 16313 29660 32626 65252 81565 163130 326260 40281139 80562278 161124556 201405695 402811390 443092529 805622780 886185058 1772370116 2215462645 4430925290 8861850580 59736929137 119473858274 238947716548 298684645685 597369291370 657106220507 1194738582740 1314212441014 2628424882028 3285531102535 6571062205070 13142124410140