Search a number
-
+
14120043432 = 23311314736709
BaseRepresentation
bin11010010011001111…
…01100001110101000
31100110001100112012120
431021213230032220
5212404212342212
610253041311240
71006623250245
oct151147541650
940401315176
1014120043432
115a9643a690
1228a0935520
13144044c7b1
1497d4045cc
1557994688c
hex3499ec3a8

14120043432 has 128 divisors (see below), whose sum is σ = 40598323200. Its totient is φ = 4052563200.

The previous prime is 14120043391. The next prime is 14120043437. The reversal of 14120043432 is 23434002141.

14120043432 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 (24).

It is not an unprimeable number, because it can be changed into a prime (14120043437) 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 31 ways as a sum of consecutive naturals, for example, 366294 + ... + 403002.

It is an arithmetic number, because the mean of its divisors is an integer number (317174400).

Almost surely, 214120043432 is an apocalyptic number.

14120043432 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 14120043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20299161600).

14120043432 is an abundant number, since it is smaller than the sum of its proper divisors (26478279768).

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

14120043432 is a wasteful number, since it uses less digits than its factorization.

14120043432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36807 (or 36803 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14120043432 its reverse (23434002141), we get a palindrome (37554045573).

The spelling of 14120043432 in words is "fourteen billion, one hundred twenty million, forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 47 62 66 88 93 94 124 132 141 186 188 248 264 282 341 372 376 517 564 682 744 1023 1034 1128 1364 1457 1551 2046 2068 2728 2914 3102 4092 4136 4371 5828 6204 8184 8742 11656 12408 16027 17484 32054 34968 36709 48081 64108 73418 96162 110127 128216 146836 192324 220254 293672 384648 403799 440508 807598 881016 1137979 1211397 1615196 1725323 2275958 2422794 3230392 3413937 3450646 4551916 4845588 5175969 6827874 6901292 9103832 9691176 10351938 12517769 13655748 13802584 18978553 20703876 25035538 27311496 37553307 37957106 41407752 50071076 53485013 56935659 75106614 75914212 100142152 106970026 113871318 150213228 151828424 160455039 213940052 227742636 300426456 320910078 427880104 455485272 588335143 641820156 1176670286 1283640312 1765005429 2353340572 3530010858 4706681144 7060021716 14120043432