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14035131543140 = 22541433253122363
BaseRepresentation
bin1100110000111100111100…
…0001111010111001100100
31211200202010110010020221222
43030033033001322321210
53314422422133340030
645503352253555512
72646001433502431
oct314171701727144
954622113106858
1014035131543140
1145212a1951a64
1216a81291a5b98
137aa6794b38b6
1436743821ab88
151951452b43e5
hexcc3cf07ae64

14035131543140 has 96 divisors (see below), whose sum is σ = 30904553344896. Its totient is φ = 5348061250560.

The previous prime is 14035131543127. The next prime is 14035131543161. The reversal of 14035131543140 is 4134513153041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14035131543140.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 114639599 + ... + 114761961.

It is an arithmetic number, because the mean of its divisors is an integer number (321922430676).

Almost surely, 214035131543140 is an apocalyptic number.

14035131543140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14035131543140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452276672448).

14035131543140 is an abundant number, since it is smaller than the sum of its proper divisors (16869421801756).

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

14035131543140 is a wasteful number, since it uses less digits than its factorization.

14035131543140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125709 (or 125707 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 14035131543140 its reverse (4134513153041), we get a palindrome (18169644696181).

The spelling of 14035131543140 in words is "fourteen trillion, thirty-five billion, one hundred thirty-one million, five hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 205 215 410 430 820 860 1763 3253 3526 6506 7052 8815 13012 16265 17630 32530 35260 65060 122363 133373 139879 244726 266746 279758 489452 533492 559516 611815 666865 699395 1223630 1333730 1398790 2447260 2667460 2797580 5016883 5261609 5735039 10033766 10523218 11470078 20067532 21046436 22940156 25084415 26308045 28675195 50168830 52616090 57350390 100337660 105232180 114700780 215725969 398046839 431451938 796093678 862903876 1078629845 1592187356 1990234195 2157259690 3980468390 4314519380 7960936780 16319920399 17116014077 32639840798 34232028154 65279681596 68464056308 81599601995 85580070385 163199203990 171160140770 326398407980 342320281540 701756577157 1403513154314 2807026308628 3508782885785 7017565771570 14035131543140