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2014312443104 = 2513151239134171
BaseRepresentation
bin11101010011111110011…
…000001010110011100000
321010120021220020021220102
4131103332120022303200
5231000302441134404
64141210134201532
7265346353156313
oct35237630126340
97116256207812
102014312443104
117072a0952165
122864791b32a8
13117c44809910
146d6c965897a
15375e477b71e
hex1d4fe60ace0

2014312443104 has 96 divisors (see below), whose sum is σ = 4317032401920. Its totient is φ = 919654848000.

The previous prime is 2014312443067. The next prime is 2014312443107. The reversal of 2014312443104 is 4013442134102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014312443107) 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, 14945939 + ... + 15080109.

It is an arithmetic number, because the mean of its divisors is an integer number (44969087520).

Almost surely, 22014312443104 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 2014312443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158516200960).

2014312443104 is an abundant number, since it is smaller than the sum of its proper divisors (2302719958816).

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

2014312443104 is a wasteful number, since it uses less digits than its factorization.

2014312443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134584 (or 134576 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2014312443104 its reverse (4013442134102), we get a palindrome (6027754577206).

The spelling of 2014312443104 in words is "two trillion, fourteen billion, three hundred twelve million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 151 208 239 302 416 478 604 956 1208 1912 1963 2416 3107 3824 3926 4832 6214 7648 7852 12428 15704 24856 31408 36089 49712 62816 72178 99424 134171 144356 268342 288712 469157 536684 577424 938314 1073368 1154848 1744223 1876628 2146736 3488446 3753256 4293472 6976892 7506512 13953784 15013024 20259821 27907568 32066869 40519642 55815136 64133738 81039284 128267476 162078568 256534952 263377673 324157136 416869297 513069904 526755346 648314272 833738594 1026139808 1053510692 1667477188 2107021384 3334954376 4214042768 4842097219 6669908752 8428085536 9684194438 13339817504 19368388876 38736777752 62947263847 77473555504 125894527694 154947111008 251789055388 503578110776 1007156221552 2014312443104