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2014420340440 = 2352915531118203
BaseRepresentation
bin11101010100000100110…
…011110000111011011000
321010120120102021001020001
4131110010303300323120
5231001013101343230
64141224550542344
7265352133242644
oct35240463607330
97116512231201
102014420340440
11707346848012
122864a93679b4
13117c60c86bb1
146d6d9b03c24
15375ede910ca
hex1d504cf0ed8

2014420340440 has 64 divisors (see below), whose sum is σ = 4691760343200. Its totient is φ = 777481377792.

The previous prime is 2014420340407. The next prime is 2014420340453. The reversal of 2014420340440 is 440430244102.

It is a junction number, because it is equal to n+sod(n) for n = 2014420340399 and 2014420340408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242379 + ... + 2360581.

Almost surely, 22014420340440 is an apocalyptic number.

2014420340440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014420340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345880171600).

2014420340440 is an abundant number, since it is smaller than the sum of its proper divisors (2677340002760).

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

2014420340440 is a wasteful number, since it uses less digits than its factorization.

2014420340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119796 (or 1119792 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2014420340440 its reverse (440430244102), we get a palindrome (2454850584542).

The spelling of 2014420340440 in words is "two trillion, fourteen billion, four hundred twenty million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1553 3106 6212 7765 12424 15530 31060 45037 62120 90074 180148 225185 360296 450370 900740 1118203 1801480 2236406 4472812 5591015 8945624 11182030 22364060 32427887 44728120 64855774 129711548 162139435 259423096 324278870 648557740 1297115480 1736569259 3473138518 6946277036 8682846295 13892554072 17365692590 34731385180 50360508511 69462770360 100721017022 201442034044 251802542555 402884068088 503605085110 1007210170220 2014420340440