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14131021104 = 2433211155027
BaseRepresentation
bin11010010100100011…
…00100010100110000
31100110211000020202000
431022101210110300
5212420020133404
610254112454000
71010115461154
oct151221442460
940424006660
1014131021104
115aa1658342
1228a454a300
1314427c4365
14980a61064
1557a8b4339
hex34a464530

14131021104 has 80 divisors (see below), whose sum is σ = 40753760640. Its totient is φ = 4687986240.

The previous prime is 14131021087. The next prime is 14131021127. The reversal of 14131021104 is 40112013141.

14131021104 is a `hidden beast` number, since 141 + 310 + 211 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13639 + ... + 168665.

It is an arithmetic number, because the mean of its divisors is an integer number (509422008).

Almost surely, 214131021104 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 14131021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376880320).

14131021104 is an abundant number, since it is smaller than the sum of its proper divisors (26622739536).

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

14131021104 is a wasteful number, since it uses less digits than its factorization.

14131021104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155255 (or 155243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14131021104 its reverse (40112013141), we get a palindrome (54243034245).

The spelling of 14131021104 in words is "fourteen billion, one hundred thirty-one million, twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 211 216 422 432 633 844 1266 1688 1899 2532 3376 3798 5064 5697 7596 10128 11394 15192 22788 30384 45576 91152 155027 310054 465081 620108 930162 1240216 1395243 1860324 2480432 2790486 3720648 4185729 5580972 7441296 8371458 11161944 16742916 22323888 32710697 33485832 65421394 66971664 98132091 130842788 196264182 261685576 294396273 392528364 523371152 588792546 785056728 883188819 1177585092 1570113456 1766377638 2355170184 3532755276 4710340368 7065510552 14131021104