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13413647710144 = 261126970830769
BaseRepresentation
bin1100001100110001101110…
…1101001111011111000000
31202111022222011122102000101
43003030123231033133000
53224232122303211034
644310051130332144
72553050460205663
oct303143355173700
952438864572011
1013413647710144
114301772491790
1216077a358a054
13763b9492a096
1434531c9996da
15183dbe2c6514
hexc331bb4f7c0

13413647710144 has 56 divisors (see below), whose sum is σ = 29145445239600. Its totient is φ = 6074446663680.

The previous prime is 13413647710139. The next prime is 13413647710201. The reversal of 13413647710144 is 44101774631431.

It is a junction number, because it is equal to n+sod(n) for n = 13413647710094 and 13413647710103.

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, 35226009 + ... + 35604760.

Almost surely, 213413647710144 is an apocalyptic number.

It is an amenable number.

13413647710144 is an abundant number, since it is smaller than the sum of its proper divisors (15731797529456).

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

13413647710144 is a wasteful number, since it uses less digits than its factorization.

13413647710144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70831061 (or 70831051 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 13413647710144 in words is "thirteen trillion, four hundred thirteen billion, six hundred forty-seven million, seven hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 269 352 538 704 1076 2152 2959 4304 5918 8608 11836 17216 23672 47344 94688 189376 70830769 141661538 283323076 566646152 779138459 1133292304 1558276918 2266584608 3116553836 4533169216 6233107672 12466215344 19053476861 24932430688 38106953722 49864861376 76213907444 152427814888 209588245471 304855629776 419176490942 609711259552 838352981884 1219422519104 1676705963768 3353411927536 6706823855072 13413647710144