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13431430501424 = 2413533023403037
BaseRepresentation
bin1100001101110011111110…
…1001001101010000110000
31202120000212111002210200122
43003130333221031100300
53230030032202021144
644322151453305412
72554250240351345
oct303347751152060
952500774083618
1013431430501424
1143092683a8001
12160b126a95268
13765769b595a0
143461286047cc
151845b05767ee
hexc373fa4d430

13431430501424 has 80 divisors (see below), whose sum is σ = 28563490069632. Its totient is φ = 6080130161664.

The previous prime is 13431430501421. The next prime is 13431430501441. The reversal of 13431430501424 is 42410503413431.

13431430501424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13431430501421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33124034 + ... + 33527070.

Almost surely, 213431430501424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13431430501424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14281745034816).

13431430501424 is an abundant number, since it is smaller than the sum of its proper divisors (15132059568208).

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

13431430501424 is a wasteful number, since it uses less digits than its factorization.

13431430501424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406134 (or 406128 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 13431430501424 its reverse (42410503413431), we get a palindrome (55841933914855).

The spelling of 13431430501424 in words is "thirteen trillion, four hundred thirty-one billion, four hundred thirty million, five hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 3023 5512 6046 11024 12092 24184 39299 48368 78598 157196 160219 314392 320438 403037 628784 640876 806074 1281752 1612148 2082847 2563504 3224296 4165694 5239481 6448592 8331388 10478962 16662776 20957924 21360961 33325552 41915848 42721922 83831696 85443844 170887688 277692493 341775376 555384986 1110769972 1218380851 2221539944 2436761702 4443079888 4873523404 9747046808 15838951063 19494093616 31677902126 63355804252 64574185103 126711608504 129148370206 253423217008 258296740412 516593480824 839464406339 1033186961648 1678928812678 3357857625356 6715715250712 13431430501424