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42022400024 = 2311552786399
BaseRepresentation
bin100111001000101110…
…101111000000011000
311000110121120002210002
4213020232233000120
51142030213300044
631145501512132
73015232335533
oct471056570030
9130417502702
1042022400024
1116904605120
128189272648
133c69070577
142069017a1a
15115e32174e
hex9c8baf018

42022400024 has 32 divisors (see below), whose sum is σ = 85971456000. Its totient is φ = 19097413920.

The previous prime is 42022400023. The next prime is 42022400041. The reversal of 42022400024 is 42000422024.

It is a junction number, because it is equal to n+sod(n) for n = 42022399969 and 42022400005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42022400023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443177 + ... + 529575.

It is an arithmetic number, because the mean of its divisors is an integer number (2686608000).

Almost surely, 242022400024 is an apocalyptic number.

42022400024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42022400024 is an abundant number, since it is smaller than the sum of its proper divisors (43949055976).

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

42022400024 is a wasteful number, since it uses less digits than its factorization.

42022400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91943 (or 91939 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42022400024 its reverse (42000422024), we get a palindrome (84022822048).

The spelling of 42022400024 in words is "forty-two billion, twenty-two million, four hundred thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 5527 11054 22108 44216 60797 86399 121594 172798 243188 345596 486376 691192 950389 1900778 3801556 7603112 477527273 955054546 1910109092 3820218184 5252800003 10505600006 21011200012 42022400024