Search a number
-
+
146604584240 = 2456130041923
BaseRepresentation
bin1000100010001001010…
…0000110110100110000
3112000102010101112002022
42020202110012310300
54400221233143430
6151203233011012
713406666255642
oct2104224066460
9460363345068
10146604584240
11571a1514024
12244b56b3a68
1310a94ca00ca
14714a858892
153c309804e5
hex2222506d30

146604584240 has 40 divisors (see below), whose sum is σ = 346443467568. Its totient is φ = 57680490240.

The previous prime is 146604584209. The next prime is 146604584293. The reversal of 146604584240 is 42485406641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 146604584191 and 146604584200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15016082 + ... + 15025841.

Almost surely, 2146604584240 is an apocalyptic number.

146604584240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146604584240 is an abundant number, since it is smaller than the sum of its proper divisors (199838883328).

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

146604584240 is a wasteful number, since it uses less digits than its factorization.

146604584240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30041997 (or 30041991 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The spelling of 146604584240 in words is "one hundred forty-six billion, six hundred four million, five hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 30041923 60083846 120167692 150209615 240335384 300419230 480670768 600838460 1201676920 1832557303 2403353840 3665114606 7330229212 9162786515 14660458424 18325573030 29320916848 36651146060 73302292120 146604584240