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2014134302200 = 2352211180126501
BaseRepresentation
bin11101010011110011110…
…000100111010111111000
321010112211111000210112011
4131103303300213113320
5230444421340132300
64141140332055304
7265342061043136
oct35236360472770
97115744023464
102014134302200
1170720a33a279
12286429604534
13117c16936cb7
146d6adb26756
15375d3cddeba
hex1d4f3c275f8

2014134302200 has 96 divisors (see below), whose sum is σ = 4707846022320. Its totient is φ = 801360000000.

The previous prime is 2014134302197. The next prime is 2014134302207. The reversal of 2014134302200 is 22034314102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014134302207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75988950 + ... + 76015450.

Almost surely, 22014134302200 is an apocalyptic number.

2014134302200 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 2014134302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353923011160).

2014134302200 is an abundant number, since it is smaller than the sum of its proper divisors (2693711720120).

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

2014134302200 is a wasteful number, since it uses less digits than its factorization.

2014134302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28529 (or 28520 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2014134302200 its reverse (22034314102), we get a palindrome (2036168616302).

The spelling of 2014134302200 in words is "two trillion, fourteen billion, one hundred thirty-four million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 1055 1688 1801 2110 3602 4220 5275 7204 8440 9005 10550 14408 18010 21100 26501 36020 42200 45025 53002 72040 90050 106004 132505 180100 212008 265010 360200 380011 530020 662525 760022 1060040 1325050 1520044 1900055 2650100 3040088 3800110 5300200 5591711 7600220 9500275 11183422 15200440 19000550 22366844 27958555 38001100 44733688 47728301 55917110 76002200 95456602 111834220 139792775 190913204 223668440 238641505 279585550 381826408 477283010 559171100 954566020 1118342200 1193207525 1909132040 2386415050 4772830100 9545660200 10070671511 20141343022 40282686044 50353357555 80565372088 100706715110 201413430220 251766787775 402826860440 503533575550 1007067151100 2014134302200