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201421234014 = 2371113139241271
BaseRepresentation
bin1011101110010110100…
…1000001111101011110
3201020220101120212001020
42323211221001331132
511300002313442024
6232310500025010
720360256145260
oct2734551017536
9636811525036
10201421234014
1178471043370
1233053692166
1315cbc8c3950
149a6ab5db30
15538d110979
hex2ee5a41f5e

201421234014 has 128 divisors (see below), whose sum is σ = 544772874240. Its totient is φ = 47945174400.

The previous prime is 201421234013. The next prime is 201421234033. The reversal of 201421234014 is 410432124102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201421234013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 714199 + ... + 955469.

It is an arithmetic number, because the mean of its divisors is an integer number (4256038080).

Almost surely, 2201421234014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201421234014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272386437120).

201421234014 is an abundant number, since it is smaller than the sum of its proper divisors (343351640226).

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

201421234014 is a wasteful number, since it uses less digits than its factorization.

201421234014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241446.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201421234014 its reverse (410432124102), we get a palindrome (611853358116).

The spelling of 201421234014 in words is "two hundred one billion, four hundred twenty-one million, two hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 139 143 154 182 231 273 278 286 417 429 462 546 834 858 973 1001 1529 1807 1946 2002 2919 3003 3058 3614 4587 5421 5838 6006 9174 10703 10842 12649 19877 21406 25298 32109 37947 39754 59631 64218 75894 119262 139139 241271 278278 417417 482542 723813 834834 1447626 1688897 2653981 3136523 3377794 5066691 5307962 6273046 7961943 9409569 10133382 15923886 18577867 18819138 21955661 33536669 34501753 37155734 43911322 55733601 65866983 67073338 69003506 100610007 103505259 111467202 131733966 201220014 207010518 234756683 241512271 368903359 435976697 469513366 483024542 704270049 724536813 737806718 871953394 1106710077 1307930091 1408540098 1449073626 2213420154 2582323513 2615860182 3051836879 4795743667 5164647026 6103673758 7746970539 9155510637 9591487334 14387231001 15493941078 18311021274 28774462002 33570205669 67140411338 100710617007 201421234014