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40442313233412 = 22321123397589817
BaseRepresentation
bin10010011001000001101011…
…01101101101010000000100
312022012020200100022100111100
421030200311231231100010
520300101324141432122
6222002535303540100
711342601136354206
oct1114406555552004
9168166610270440
1040442313233412
1111982541544a62
124651ba8a5a630
1319749032b4a0c
149db5c0160776
154a1ee6234aac
hex24c835b6d404

40442313233412 has 18 divisors (see below), whose sum is σ = 102229180673438. Its totient is φ = 13480771077792.

The previous prime is 40442313233407. The next prime is 40442313233453. The reversal of 40442313233412 is 21433231324404.

40442313233412 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 2 + 3 + 1 + 3 + 233 + 412 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39878921880576 + 563391352836 = 6314976^2 + 750594^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×404423132334122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1123397589817 = 40442313233412 / (4 + 0 + 4 + 4 + 2 + 3 + 1 + 3 + 2 + 3 + 3 + 4 + 1 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561698794873 + ... + 561698794944.

Almost surely, 240442313233412 is an apocalyptic number.

It is an amenable number.

40442313233412 is an abundant number, since it is smaller than the sum of its proper divisors (61786867440026).

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

40442313233412 is a wasteful number, since it uses less digits than its factorization.

40442313233412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123397589827 (or 1123397589822 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 40442313233412 its reverse (21433231324404), we get a palindrome (61875544557816).

The spelling of 40442313233412 in words is "forty trillion, four hundred forty-two billion, three hundred thirteen million, two hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1123397589817 2246795179634 3370192769451 4493590359268 6740385538902 10110578308353 13480771077804 20221156616706 40442313233412