Search a number
-
+
345531511434440 = 23528040930806029
BaseRepresentation
bin100111010010000100101001…
…0111111110110110011001000
31200022102111020010112011110202
41032210021102333312303020
5330242142013411400230
63222514552431431332
7132531553652124602
oct11644112277666310
91608374203464422
10345531511434440
11a0108100242651
12329063a4085548
1311aa56354403a6
146147b58964172
1529e3103061a45
hex13a4252ff6cc8

345531511434440 has 32 divisors (see below), whose sum is σ = 777448698507000. Its totient is φ = 138212107190784.

The previous prime is 345531511434427. The next prime is 345531511434457. The reversal of 345531511434440 is 44434115135543.

It can be written as a sum of positive squares in 4 ways, for example, as 268404720495844 + 77126790938596 = 16383062^2 + 8782186^2 .

It is a super-2 number, since 2×3455315114344402 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4186655 + ... + 26619374.

Almost surely, 2345531511434440 is an apocalyptic number.

It is an amenable number.

345531511434440 is an abundant number, since it is smaller than the sum of its proper divisors (431917187072560).

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

345531511434440 is a wasteful number, since it uses less digits than its factorization.

345531511434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31086449 (or 31086445 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 47.

Adding to 345531511434440 its reverse (44434115135543), we get a palindrome (389965626569983).

The spelling of 345531511434440 in words is "three hundred forty-five trillion, five hundred thirty-one billion, five hundred eleven million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 280409 560818 1121636 1402045 2243272 2804090 5608180 11216360 30806029 61612058 123224116 154030145 246448232 308060290 616120580 1232241160 8638287785861 17276575571722 34553151143444 43191438929305 69106302286888 86382877858610 172765755717220 345531511434440