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14029275104 = 2513713491361
BaseRepresentation
bin11010001000011010…
…11011111111100000
31100012201120000110122
431010031123333200
5212212443300404
610240040015412
71004441604455
oct150415337740
940181500418
1014029275104
115a4a184039
122876461568
1314276bbc20
1497133782c
155719b73be
hex34435bfe0

14029275104 has 96 divisors (see below), whose sum is σ = 30272356800. Its totient is φ = 6360883200.

The previous prime is 14029275079. The next prime is 14029275107. The reversal of 14029275104 is 40157292041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14029275107) 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, 10307384 + ... + 10308744.

It is an arithmetic number, because the mean of its divisors is an integer number (315337050).

Almost surely, 214029275104 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 14029275104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15136178400).

14029275104 is an abundant number, since it is smaller than the sum of its proper divisors (16243081696).

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

14029275104 is a wasteful number, since it uses less digits than its factorization.

14029275104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 14029275104 in words is "fourteen billion, twenty-nine million, two hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 208 284 349 416 568 698 923 1136 1361 1396 1846 2272 2722 2792 3692 4537 5444 5584 7384 9074 10888 11168 14768 17693 18148 21776 24779 29536 35386 36296 43552 49558 70772 72592 96631 99116 141544 145184 193262 198232 283088 322127 386524 396464 474989 566176 644254 773048 792928 949978 1256203 1288508 1546096 1899956 2512406 2577016 3092192 3799912 5024812 5154032 6174857 7599824 10049624 10308064 12349714 15199648 20099248 24699428 33724219 40198496 49398856 67448438 98797712 134896876 197595424 269793752 438414847 539587504 876829694 1079175008 1753659388 3507318776 7014637552 14029275104