Search a number
-
+
3422545320000 = 26354132721493
BaseRepresentation
bin110001110011011111100…
…110010001100001000000
3110010012012001211120022210
4301303133212101201000
5422033333100220000
611140143504102120
7502161602134032
oct61633746214100
913105161746283
103422545320000
1110aa547675744
1247338b604940
131ba98ac82481
14bb91b42bc52
155e065587350
hex31cdf991840

3422545320000 has 280 divisors, whose sum is σ = 11324787607936. Its totient is φ = 911948544000.

The previous prime is 3422545319891. The next prime is 3422545320013. The reversal of 3422545320000 is 235452243.

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 3422545320000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159229254 + ... + 159250746.

Almost surely, 23422545320000 is an apocalyptic number.

3422545320000 is a gapful number since it is divisible by the number (30) 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 3422545320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662393803968).

3422545320000 is an abundant number, since it is smaller than the sum of its proper divisors (7902242287936).

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

3422545320000 is a wasteful number, since it uses less digits than its factorization.

3422545320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22855 (or 22830 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 3422545320000 in words is "three trillion, four hundred twenty-two billion, five hundred forty-five million, three hundred twenty thousand".