Search a number
-
+
3624345305145 = 325233345669557
BaseRepresentation
bin110100101111011011110…
…100001000000000111001
3110211111001212002222020200
4310233123310020000321
5433340124344231040
611413000134112413
7522564440534115
oct64573364100071
913744055088220
103624345305145
111178092490374
124a6509aab709
13203a0b1879c6
14c75c25c0745
1564426a60630
hex34bdbd08039

3624345305145 has 24 divisors (see below), whose sum is σ = 6309160772616. Its totient is φ = 1924688087808.

The previous prime is 3624345305107. The next prime is 3624345305179. The reversal of 3624345305145 is 5415035434263.

3624345305145 is a `hidden beast` number, since 3 + 6 + 24 + 3 + 4 + 530 + 51 + 45 = 666.

3624345305145 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 244443225744 + 3379902079401 = 494412^2 + 1838451^2 .

It is not a de Polignac number, because 3624345305145 - 211 = 3624345303097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3624345305145.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172824294 + ... + 172845263.

It is an arithmetic number, because the mean of its divisors is an integer number (262881698859).

Almost surely, 23624345305145 is an apocalyptic number.

It is an amenable number.

3624345305145 is a deficient number, since it is larger than the sum of its proper divisors (2684815467471).

3624345305145 is a wasteful number, since it uses less digits than its factorization.

3624345305145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345669801 (or 345669798 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 3624345305145 in words is "three trillion, six hundred twenty-four billion, three hundred forty-five million, three hundred five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 233 699 1165 2097 3495 10485 345669557 1037008671 1728347785 3111026013 5185043355 15555130065 80541006781 241623020343 402705033905 724869061029 1208115101715 3624345305145