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4042345440000 = 283547311972
BaseRepresentation
bin111010110100101110100…
…100000110001100000000
3112022110000000002221020210
4322310232210012030000
51012212210413040000
612333010003434120
7565023042211320
oct72645644061400
915273000087223
104042345440000
11131939268747a
12553525385940
13234264a72aca
14dd917207280
157023d83c350
hex3ad2e906300

4042345440000 has 1080 divisors, whose sum is σ = 15940958860288. Its totient is φ = 889620480000.

The previous prime is 4042345439963. The next prime is 4042345440017. The reversal of 4042345440000 is 445432404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4042345440000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20519519902 + ... + 20519520098.

Almost surely, 24042345440000 is an apocalyptic number.

4042345440000 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 4042345440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970479430144).

4042345440000 is an abundant number, since it is smaller than the sum of its proper divisors (11898613420288).

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

4042345440000 is an frugal number, since it uses more digits than its factorization.

4042345440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The spelling of 4042345440000 in words is "four trillion, forty-two billion, three hundred forty-five million, four hundred forty thousand".