Search a number
-
+
214033434333432 = 23372834501796953
BaseRepresentation
bin110000101010100110001010…
…110100101101000011111000
31001001211101201001011010111120
4300222212022310231003320
5211023210433142132212
62035113334034225240
763040256013066060
oct6052461264550370
91031741631133446
10214033434333432
116221a08492855a
1220009144125220
13925735cc6227c
143abd3b86843a0
1519b277a35188c
hexc2a98ad2d0f8

214033434333432 has 64 divisors (see below), whose sum is σ = 613684960769280. Its totient is φ = 60936323542272.

The previous prime is 214033434333427. The next prime is 214033434333451. The reversal of 214033434333432 is 234333434330412.

It is a super-2 number, since 2×2140334343334322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2250850933 + ... + 2250946020.

It is an arithmetic number, because the mean of its divisors is an integer number (9588827512020).

Almost surely, 2214033434333432 is an apocalyptic number.

It is an amenable number.

214033434333432 is an abundant number, since it is smaller than the sum of its proper divisors (399651526435848).

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

214033434333432 is a wasteful number, since it uses less digits than its factorization.

214033434333432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501797252 (or 4501797248 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 42.

Adding to 214033434333432 its reverse (234333434330412), we get a palindrome (448366868663844).

The spelling of 214033434333432 in words is "two hundred fourteen trillion, thirty-three billion, four hundred thirty-four million, three hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 566 849 1132 1698 1981 2264 3396 3962 5943 6792 7924 11886 15848 23772 47544 4501796953 9003593906 13505390859 18007187812 27010781718 31512578671 36014375624 54021563436 63025157342 94537736013 108043126872 126050314684 189075472026 252100629368 378150944052 756301888104 1274008537699 2548017075398 3822025613097 5096034150796 7644051226194 8918059763893 10192068301592 15288102452388 17836119527786 26754179291679 30576204904776 35672239055572 53508358583358 71344478111144 107016717166716 214033434333432