Search a number
-
+
14214433301024 = 2511791673060859
BaseRepresentation
bin1100111011011000111000…
…1111110110001000100000
31212022212221022000022002112
43032312032033312020200
53330342124411113044
650122004232534452
72664646623342305
oct316661617661040
955285838008075
1014214433301024
114590342035540
121716a28b51428
137c1552582c18
14371da73b90ac
15199b3b54609e
hexced8e3f6220

14214433301024 has 96 divisors (see below), whose sum is σ = 31100296550400. Its totient is φ = 6341118301440.

The previous prime is 14214433301023. The next prime is 14214433301059. The reversal of 14214433301024 is 42010333441241.

14214433301024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142144333010242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (14214433301023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3113507 + ... + 6174365.

It is an arithmetic number, because the mean of its divisors is an integer number (323961422400).

Almost surely, 214214433301024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14214433301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550148275200).

14214433301024 is an abundant number, since it is smaller than the sum of its proper divisors (16885863249376).

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

14214433301024 is a wasteful number, since it uses less digits than its factorization.

14214433301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061126 (or 3061118 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 14214433301024 its reverse (42010333441241), we get a palindrome (56224766742265).

The spelling of 14214433301024 in words is "fourteen trillion, two hundred fourteen billion, four hundred thirty-three million, three hundred one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 167 176 316 334 352 632 668 869 1264 1336 1738 1837 2528 2672 3476 3674 5344 6952 7348 13193 13904 14696 26386 27808 29392 52772 58784 105544 145123 211088 290246 422176 580492 1160984 2321968 3060859 4643936 6121718 12243436 24486872 33669449 48973744 67338898 97947488 134677796 241807861 269355592 483615722 511163453 538711184 967231444 1022326906 1077422368 1934462888 2044653812 2659886471 3868925776 4089307624 5319772942 5622797983 7737851552 8178615248 10639545884 11245595966 16357230496 21279091768 22491191932 40381912787 42558183536 44982383864 80763825574 85116367072 89964767728 161527651148 179929535456 323055302296 444201040657 646110604592 888402081314 1292221209184 1776804162628 3553608325256 7107216650512 14214433301024