Search a number
-
+
14344205525352 = 23321429417733377
BaseRepresentation
bin1101000010111100010101…
…0001100110000101101000
31212210021220100100100020100
43100233011101212011220
53340003413103302402
650301345334025400
73010222533136533
oct320570521460550
955707810310210
1014344205525352
11463038608040a
1217380054a8260
138008641c6a41
14378398511a1a
1519d1d43b571c
hexd0bc5466168

14344205525352 has 96 divisors (see below), whose sum is σ = 38886548243400. Its totient is φ = 4776768847872.

The previous prime is 14344205525347. The next prime is 14344205525357. The reversal of 14344205525352 is 25352550244341.

14344205525352 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 42 + 0 + 552 + 5 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (14344205525347) and next prime (14344205525357).

It can be written as a sum of positive squares in 4 ways, for example, as 13249265122116 + 1094940403236 = 3639954^2 + 1046394^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14344205525298 and 14344205525307.

It is not an unprimeable number, because it can be changed into a prime (14344205525357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429746488 + ... + 429779864.

Almost surely, 214344205525352 is an apocalyptic number.

14344205525352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14344205525352 is an abundant number, since it is smaller than the sum of its proper divisors (24542342718048).

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

14344205525352 is a wasteful number, since it uses less digits than its factorization.

14344205525352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38995 (or 38988 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

Adding to 14344205525352 its reverse (25352550244341), we get a palindrome (39696755769693).

The spelling of 14344205525352 in words is "fourteen trillion, three hundred forty-four billion, two hundred five million, five hundred twenty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1429 2858 4177 4287 5716 8354 8574 11432 12531 12861 16708 17148 25062 25722 33377 33416 34296 37593 50124 51444 66754 75186 100131 100248 102888 133508 150372 200262 267016 300393 300744 400524 600786 801048 1201572 2403144 5968933 11937866 17906799 23875732 35813598 47695733 47751464 53720397 71627196 95391466 107440794 139415729 143087199 143254392 190782932 214881588 278831458 286174398 381565864 418247187 429261597 429763176 557662916 572348796 836494374 858523194 1115325832 1144697592 1254741561 1672988748 1717046388 2509483122 3345977496 3434092776 5018966244 10037932488 199225076741 398450153482 597675230223 796900306964 1195350460446 1593800613928 1793025690669 2390700920892 3586051381338 4781401841784 7172102762676 14344205525352