Search a number
-
+
19044262440 = 23325722333889
BaseRepresentation
bin10001101111001000…
…000110001000101000
31211011020010202210100
4101233020012020220
5303000312344230
612425424345400
71242635363010
oct215710061050
954136122710
1019044262440
118092a98275
123835a75260
131a46697458
14cc93bac40
15766dce660
hex46f206228

19044262440 has 192 divisors, whose sum is σ = 71055129600. Its totient is φ = 4333326336.

The previous prime is 19044262439. The next prime is 19044262459. The reversal of 19044262440 is 4426244091.

It is a happy number.

19044262440 is a `hidden beast` number, since 190 + 4 + 4 + 26 + 2 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19044262395 and 19044262404.

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 47 ways as a sum of consecutive naturals, for example, 545016 + ... + 578904.

It is an arithmetic number, because the mean of its divisors is an integer number (370078800).

Almost surely, 219044262440 is an apocalyptic number.

19044262440 is a gapful number since it is divisible by the number (10) 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 19044262440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35527564800).

19044262440 is an abundant number, since it is smaller than the sum of its proper divisors (52010867160).

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

19044262440 is a wasteful number, since it uses less digits than its factorization.

19044262440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34136 (or 34129 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 19044262440 in words is "nineteen billion, forty-four million, two hundred sixty-two thousand, four hundred forty".