Search a number
-
+
40513101746763 = 3234773283604699
BaseRepresentation
bin10010011011000101100010…
…00010011101001001001011
312022110000101201101102100010
421031202301002131021023
520302231313021344023
6222055243443243003
711350655266656462
oct1115426102351113
9168400351342303
1040513101746763
11119aa567841858
124663863979463
13197b4a4bbcac9
14a00bb77919d9
154a3c8ab9e093
hex24d8b109d24b

40513101746763 has 64 divisors (see below), whose sum is σ = 58560192921600. Its totient is φ = 24850243300608.

The previous prime is 40513101746723. The next prime is 40513101746773. The reversal of 40513101746763 is 36764710131504.

It is not a de Polignac number, because 40513101746763 - 212 = 40513101742667 is a prime.

It is a super-2 number, since 2×405131017467632 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40513101746723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66694788 + ... + 67299486.

It is an arithmetic number, because the mean of its divisors is an integer number (915003014400).

Almost surely, 240513101746763 is an apocalyptic number.

40513101746763 is a deficient number, since it is larger than the sum of its proper divisors (18047091174837).

40513101746763 is a wasteful number, since it uses less digits than its factorization.

40513101746763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605128.

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 40513101746763 in words is "forty trillion, five hundred thirteen billion, one hundred one million, seven hundred forty-six thousand, seven hundred sixty-three".

Divisors: 1 3 23 47 69 73 141 219 283 849 1081 1679 3243 3431 5037 6509 10293 13301 19527 20659 39903 61977 78913 236739 305923 475157 604699 917769 970973 1425471 1814097 2912919 13908077 22332379 28420853 41724231 44143027 66997137 85262559 132429081 171129817 513389451 653679619 1015289621 1961038857 2074722269 3045868863 3935985791 6224166807 8043101399 11807957373 12492476641 24129304197 37477429923 47718612187 143155836561 184991332177 287326962743 554973996531 587146402127 861980888229 1761439206381 13504367248921 40513101746763