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14055240431652 = 22371312302755469
BaseRepresentation
bin1100110010000111110110…
…0111001111100000100100
31211202200000212112122011120
43030201331213033200210
53320240113022303102
645520515513133540
72650312650311520
oct314417547174044
954680025478146
1014055240431652
114529880893592
1216abbbb6ba2b0
137ac5325c49b4
143683c4b68d80
1519592088d6bc
hexcc87d9cf824

14055240431652 has 96 divisors (see below), whose sum is σ = 37769073914880. Its totient is φ = 3984883244160.

The previous prime is 14055240431651. The next prime is 14055240431689. The reversal of 14055240431652 is 25613404255041.

14055240431652 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 (42).

It is not an unprimeable number, because it can be changed into a prime (14055240431651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253361374 + ... + 253416842.

It is an arithmetic number, because the mean of its divisors is an integer number (393427853280).

Almost surely, 214055240431652 is an apocalyptic number.

14055240431652 is a gapful number since it is divisible by the number (12) 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 14055240431652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18884536957440).

14055240431652 is an abundant number, since it is smaller than the sum of its proper divisors (23713833483228).

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

14055240431652 is a wasteful number, since it uses less digits than its factorization.

14055240431652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78641 (or 78639 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 14055240431652 its reverse (25613404255041), we get a palindrome (39668644686693).

The spelling of 14055240431652 in words is "fourteen trillion, fifty-five billion, two hundred forty million, four hundred thirty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004 23027 46054 55469 69081 92108 110938 138162 161189 166407 221876 276324 322378 332814 388283 483567 644756 665628 776566 967134 1164849 1553132 1934268 2329698 3016537 4659396 6033074 7266439 9049611 12066148 14532878 18099222 21115759 21799317 29065756 36198444 42231518 43598634 50865073 63347277 84463036 87197268 101730146 126694554 152595219 203460292 253389108 305190438 610380876 1277284663 2554569326 3831853989 5109138652 7663707978 8940992641 15327415956 17881985282 26822977923 35763970564 53645955846 107291911692 167324290853 334648581706 501972872559 669297163412 1003945745118 1171270035971 2007891490236 2342540071942 3513810107913 4685080143884 7027620215826 14055240431652