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40303413144 = 23321702132887
BaseRepresentation
bin100101100010010001…
…010100011110011000
310212000210222112002100
4211202101110132120
51130020133210034
630303134003400
72624520234141
oct454221243630
9125023875070
1040303413144
1116102253905
127989646560
133a53ba6a77
141d449ccac8
1510ad46c099
hex962454798

40303413144 has 48 divisors (see below), whose sum is σ = 109164809520. Its totient is φ = 13433273280.

The previous prime is 40303413133. The next prime is 40303413167. The reversal of 40303413144 is 44131430304.

40303413144 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 341 + 314 + 4 = 666.

It is a super-2 number, since 2×403034131442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1209069 + ... + 1241955.

It is an arithmetic number, because the mean of its divisors is an integer number (2274266865).

Almost surely, 240303413144 is an apocalyptic number.

It is an amenable number.

40303413144 is an abundant number, since it is smaller than the sum of its proper divisors (68861396376).

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

40303413144 is a wasteful number, since it uses less digits than its factorization.

40303413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49920 (or 49913 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40303413144 its reverse (44131430304), we get a palindrome (84434843448).

The spelling of 40303413144 in words is "forty billion, three hundred three million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17021 32887 34042 51063 65774 68084 98661 102126 131548 136168 153189 197322 204252 263096 295983 306378 394644 408504 591966 612756 789288 1183932 1225512 2367864 559769627 1119539254 1679308881 2239078508 3358617762 4478157016 5037926643 6717235524 10075853286 13434471048 20151706572 40303413144