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240462040041 = 3424124774973
BaseRepresentation
bin1101111111110010100…
…1111000101111101001
3211222200012202021210000
43133330221320233221
512414431240240131
6302244452013213
723241605421216
oct3377451705751
9758605667700
10240462040041
1192a85609813
123a72a301209
13198a20256c2
14b8d1ba2b0d
1563c57c6ce6
hex37fca78be9

240462040041 has 40 divisors (see below), whose sum is σ = 360917399304. Its totient is φ = 159546309120.

The previous prime is 240462040033. The next prime is 240462040043. The reversal of 240462040041 is 140040264042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76939664400 + 163522375641 = 277380^2 + 404379^2 .

It is not a de Polignac number, because 240462040041 - 23 = 240462040033 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 240462039987 and 240462040014.

It is not an unprimeable number, because it can be changed into a prime (240462040043) 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, 48351031 + ... + 48356003.

Almost surely, 2240462040041 is an apocalyptic number.

It is an amenable number.

240462040041 is a deficient number, since it is larger than the sum of its proper divisors (120455359263).

240462040041 is a wasteful number, since it uses less digits than its factorization.

240462040041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7703 (or 7694 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 240462040041 in words is "two hundred forty billion, four hundred sixty-two million, forty thousand, forty-one".

Divisors: 1 3 9 27 81 241 723 2169 2477 4973 6507 7431 14919 19521 22293 44757 66879 134271 200637 402813 596957 1198493 1790871 3595479 5372613 10786437 12318121 16117839 32359311 36954363 48353517 97077933 110863089 332589267 997767801 2968667161 8906001483 26718004449 80154013347 240462040041