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40211146305 = 345119026071
BaseRepresentation
bin100101011100110001…
…010110011001000001
310211210101100212210000
4211130301112121001
51124323023140210
630250040230213
72622320050461
oct453461263101
9124711325700
1040211146305
1116065164420
12796276b369
133a3aa400c5
141d36651ba1
1510a52e3ac0
hex95cc56641

40211146305 has 40 divisors (see below), whose sum is σ = 78635139264. Its totient is φ = 19496311200.

The previous prime is 40211146301. The next prime is 40211146331. The reversal of 40211146305 is 50364111204.

It is a happy number.

40211146305 is a `hidden beast` number, since 4 + 0 + 2 + 11 + 14 + 630 + 5 = 666.

It is not a de Polignac number, because 40211146305 - 22 = 40211146301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40211146301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4508581 + ... + 4517490.

Almost surely, 240211146305 is an apocalyptic number.

40211146305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40211146305 is a deficient number, since it is larger than the sum of its proper divisors (38423992959).

40211146305 is a wasteful number, since it uses less digits than its factorization.

40211146305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9026099 (or 9026090 counting only the distinct ones).

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

Adding to 40211146305 its reverse (50364111204), we get a palindrome (90575257509).

The spelling of 40211146305 in words is "forty billion, two hundred eleven million, one hundred forty-six thousand, three hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 891 1485 4455 9026071 27078213 45130355 81234639 99286781 135391065 243703917 297860343 406173195 496433905 731111751 893581029 1218519585 1489301715 2680743087 3655558755 4467905145 8042229261 13403715435 40211146305