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442212405110040 = 23353685103375917
BaseRepresentation
bin110010010001100001001100…
…1010100100110010100011000
32010222202002111211201112202210
41210203002121110212110120
5430430202001202010130
64204301324022555120
7162100535432111625
oct14443023124462430
92128662454645683
10442212405110040
111189a225625a504
124171b887898aa0
1315c995b2740a36
147b2b2a200734c
15361ce5d3905b0
hex1923099526518

442212405110040 has 32 divisors (see below), whose sum is σ = 1326637215330480. Its totient is φ = 117923308029312.

The previous prime is 442212405110027. The next prime is 442212405110041. The reversal of 442212405110040 is 40011504212244.

It is a super-2 number, since 2×4422124051100402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442212405110041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1842551687839 + ... + 1842551688078.

Almost surely, 2442212405110040 is an apocalyptic number.

442212405110040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442212405110040 is an abundant number, since it is smaller than the sum of its proper divisors (884424810220440).

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

442212405110040 is a wasteful number, since it uses less digits than its factorization.

442212405110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685103375931 (or 3685103375927 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 442212405110040 its reverse (40011504212244), we get a palindrome (482223909322284).

The spelling of 442212405110040 in words is "four hundred forty-two trillion, two hundred twelve billion, four hundred five million, one hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3685103375917 7370206751834 11055310127751 14740413503668 18425516879585 22110620255502 29480827007336 36851033759170 44221240511004 55276550638755 73702067518340 88442481022008 110553101277510 147404135036680 221106202555020 442212405110040