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13141144030432 = 251182945033529
BaseRepresentation
bin1011111100111010100100…
…1110001100110011100000
31201112021120220220011202011
42333032221032030303200
53210301030332433212
643540542551002304
72524262541146365
oct277165116146340
951467526804664
1013141144030432
114207145241930
121582a12669394
137442875762a2
1433606b57446c
1517bc70a3a4a7
hexbf3a938cce0

13141144030432 has 48 divisors (see below), whose sum is σ = 28257639404400. Its totient is φ = 5966041789440.

The previous prime is 13141144030423. The next prime is 13141144030447. The reversal of 13141144030432 is 23403044114131.

It is a junction number, because it is equal to n+sod(n) for n = 13141144030394 and 13141144030403.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22224957 + ... + 22808572.

It is an arithmetic number, because the mean of its divisors is an integer number (588700820925).

Almost surely, 213141144030432 is an apocalyptic number.

It is an amenable number.

13141144030432 is an abundant number, since it is smaller than the sum of its proper divisors (15116495373968).

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

13141144030432 is a wasteful number, since it uses less digits than its factorization.

13141144030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45034379 (or 45034371 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 13141144030432 its reverse (23403044114131), we get a palindrome (36544188144563).

The spelling of 13141144030432 in words is "thirteen trillion, one hundred forty-one billion, one hundred forty-four million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 829 1658 3316 6632 9119 13264 18238 26528 36476 72952 145904 291808 45033529 90067058 180134116 360268232 495368819 720536464 990737638 1441072928 1981475276 3962950552 7925901104 15851802208 37332795541 74665591082 149331182164 298662364328 410660750951 597324728656 821321501902 1194649457312 1642643003804 3285286007608 6570572015216 13141144030432