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14020421142 = 23713294392017
BaseRepresentation
bin11010000111010111…
…01010011000010110
31100012002220012010010
431003223222120112
5212203211434032
610235122141050
71004303420250
oct150353523026
940162805103
1014020421142
115a45186a12
1228734b1786
13142590bbb0
149700b0cd0
15570d18ccc
hex343aea616

14020421142 has 128 divisors (see below), whose sum is σ = 35800934400. Its totient is φ = 3560288256.

The previous prime is 14020421089. The next prime is 14020421143. The reversal of 14020421142 is 24112402041.

14020421142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14020421143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6950118 + ... + 6952134.

It is an arithmetic number, because the mean of its divisors is an integer number (279694800).

Almost surely, 214020421142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14020421142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17900467200).

14020421142 is an abundant number, since it is smaller than the sum of its proper divisors (21780513258).

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

14020421142 is a wasteful number, since it uses less digits than its factorization.

14020421142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14020421142 its reverse (24112402041), we get a palindrome (38132823183).

The spelling of 14020421142 in words is "fourteen billion, twenty million, four hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 174 182 203 273 377 406 439 546 609 754 878 1131 1218 1317 2017 2262 2634 2639 3073 4034 5278 5707 6051 6146 7917 9219 11414 12102 12731 14119 15834 17121 18438 25462 26221 28238 34242 38193 39949 42357 52442 58493 76386 78663 79898 84714 89117 116986 119847 157326 165503 175479 178234 183547 239694 267351 331006 350958 367094 409451 496509 534702 550641 760409 818902 885463 993018 1101282 1158521 1228353 1520818 1770926 2281227 2317042 2456706 2656389 3475563 4562454 5312778 5322863 6198241 6951126 10645726 11511019 12396482 15968589 18594723 23022038 25678427 31937178 34533057 37189446 51356854 69066114 77035281 80577133 154070562 161154266 179748989 241731399 333819551 359497978 483462798 539246967 667639102 1001458653 1078493934 2002917306 2336736857 4673473714 7010210571 14020421142