Search a number
-
+
514013411232 = 25322377598643
BaseRepresentation
bin1110111101011011001…
…01100011011110100000
31211010202110220202120100
413132231211203132200
531410144413124412
61032045015142400
752064505622566
oct7365545433640
91733673822510
10514013411232
11188aa01967a2
1283752074a00
1339618474099
141ac423cba36
15d586014edc
hex77ad9637a0

514013411232 has 72 divisors (see below), whose sum is σ = 1525278946464. Its totient is φ = 163888331904.

The previous prime is 514013411183. The next prime is 514013411257. The reversal of 514013411232 is 232114310415.

514013411232 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 13 + 411 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 514013411196 and 514013411205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38792698 + ... + 38805945.

It is an arithmetic number, because the mean of its divisors is an integer number (21184429812).

Almost surely, 2514013411232 is an apocalyptic number.

It is an amenable number.

514013411232 is an abundant number, since it is smaller than the sum of its proper divisors (1011265535232).

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

514013411232 is a wasteful number, since it uses less digits than its factorization.

514013411232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77598682 (or 77598671 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 514013411232 its reverse (232114310415), we get a palindrome (746127721647).

The spelling of 514013411232 in words is "five hundred fourteen billion, thirteen million, four hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 77598643 155197286 232795929 310394572 465591858 620789144 698387787 931183716 1241578288 1396775574 1784768789 1862367432 2483156576 2793551148 3569537578 3724734864 5354306367 5587102296 7139075156 7449469728 10708612734 11174204592 14278150312 16062919101 21417225468 22348409184 28556300624 32125838202 42834450936 57112601248 64251676404 85668901872 128503352808 171337803744 257006705616 514013411232