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2424422975040 = 263551127110459
BaseRepresentation
bin100011010001111010110…
…111101100011001000000
322120202212012112220100000
4203101322313230121000
5304210204240200130
65053433050200000
7340105314160653
oct43217267543100
98522765486300
102424422975040
11855212623880
12331a52423000
131478119c5921
14854b251389a
15430e8ab8260
hex2347adec640

2424422975040 has 672 divisors, whose sum is σ = 9469742929920. Its totient is φ = 585514137600.

The previous prime is 2424422975011. The next prime is 2424422975057. The reversal of 2424422975040 is 405792244242.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231797331 + ... + 231807789.

It is an arithmetic number, because the mean of its divisors is an integer number (14091879360).

Almost surely, 22424422975040 is an apocalyptic number.

2424422975040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424422975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734871464960).

2424422975040 is an abundant number, since it is smaller than the sum of its proper divisors (7045319954880).

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

2424422975040 is a wasteful number, since it uses less digits than its factorization.

2424422975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10773 (or 10751 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 2424422975040 in words is "two trillion, four hundred twenty-four billion, four hundred twenty-two million, nine hundred seventy-five thousand, forty".