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23442304002040 = 23571153279751343
BaseRepresentation
bin1010101010010000101100…
…01100111110011111111000
310002000001200110202010020001
411111020112030332133320
511033034314311031130
6121505125031242344
74636436101200640
oct525102614763770
9102001613663201
1023442304002040
117518909518a70
1227673382193b4
1310107a494b131
145b08838b5520
152a9bc4dbc6ca
hex15521633e7f8

23442304002040 has 256 divisors, whose sum is σ = 67026248478720. Its totient is φ = 7166127421440.

The previous prime is 23442304002023. The next prime is 23442304002079. The reversal of 23442304002040 is 4020040324432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456556609 + ... + 456607951.

It is an arithmetic number, because the mean of its divisors is an integer number (261821283120).

Almost surely, 223442304002040 is an apocalyptic number.

23442304002040 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 23442304002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513124239360).

23442304002040 is an abundant number, since it is smaller than the sum of its proper divisors (43583944476680).

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

23442304002040 is a wasteful number, since it uses less digits than its factorization.

23442304002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54222 (or 54218 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 23442304002040 its reverse (4020040324432), we get a palindrome (27462344326472).

The spelling of 23442304002040 in words is "twenty-three trillion, four hundred forty-two billion, three hundred four million, two thousand, forty".