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450312042000 = 2435375052007
BaseRepresentation
bin1101000110110001011…
…00000111011000010000
31121001100000112220202210
412203120230013120100
524334214340321000
6542512005512120
744351103126132
oct6433054073020
91531300486683
10450312042000
11163a814541a7
1273334712640
1333605c33cb2
1417b1c11d052
15baa887a350
hex68d8b07610

450312042000 has 80 divisors (see below), whose sum is σ = 1451806042752. Its totient is φ = 120083209600.

The previous prime is 450312041941. The next prime is 450312042023. The reversal of 450312042000 is 240213054.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37520004 + ... + 37532003.

Almost surely, 2450312042000 is an apocalyptic number.

450312042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450312042000 is an abundant number, since it is smaller than the sum of its proper divisors (1001494000752).

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

450312042000 is a wasteful number, since it uses less digits than its factorization.

450312042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75052033 (or 75052017 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 450312042000 its reverse (240213054), we get a palindrome (450552255054).

The spelling of 450312042000 in words is "four hundred fifty billion, three hundred twelve million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 75052007 150104014 225156021 300208028 375260035 450312042 600416056 750520070 900624084 1125780105 1200832112 1501040140 1801248168 1876300175 2251560210 3002080280 3602496336 3752600350 4503120420 5628900525 6004160560 7505200700 9006240840 9381500875 11257801050 15010401400 18012481680 18763001750 22515602100 28144502625 30020802800 37526003500 45031204200 56289005250 75052007000 90062408400 112578010500 150104014000 225156021000 450312042000