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4402520012000 = 255311607164839
BaseRepresentation
bin100000000010000101010…
…1001000011010011100000
3120120212200012002221111202
41000010022221003103200
51034112330110341000
613210253442500332
7633033356441645
oct100041251032340
916525605087452
104402520012000
111448109856310
125b12a30646a8
1325c204551c26
14113124081dcc
15797bdc33dd5
hex4010aa434e0

4402520012000 has 192 divisors, whose sum is σ = 11819866705920. Its totient is φ = 1598269248000.

The previous prime is 4402520011951. The next prime is 4402520012047. The reversal of 4402520012000 is 2100252044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26625581 + ... + 26790419.

It is an arithmetic number, because the mean of its divisors is an integer number (61561805760).

Almost surely, 24402520012000 is an apocalyptic number.

4402520012000 is a gapful number since it is divisible by the number (40) 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 4402520012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909933352960).

4402520012000 is an abundant number, since it is smaller than the sum of its proper divisors (7417346693920).

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

4402520012000 is a wasteful number, since it uses less digits than its factorization.

4402520012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165482 (or 165464 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 4402520012000 its reverse (2100252044), we get a palindrome (4404620264044).

The spelling of 4402520012000 in words is "four trillion, four hundred two billion, five hundred twenty million, twelve thousand".