Search a number
-
+
9144445086720 = 21033597681949
BaseRepresentation
bin1000010100010001101101…
…1001101010110000000000
31012101012102002201111202000
42011010123121222300000
52144310310420233340
631240522230024000
71632443605515126
oct205043331526000
935335362644660
109144445086720
112a06156946759
1210383081a8000
1351441863c8c8
14238844807916
1510cd04790d30
hex8511b66ac00

9144445086720 has 352 divisors, whose sum is σ = 32832782808000. Its totient is φ = 2413375782912.

The previous prime is 9144445086703. The next prime is 9144445086727. The reversal of 9144445086720 is 276805444419.

9144445086720 is a `hidden beast` number, since 9 + 1 + 4 + 44 + 450 + 86 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9144445086727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13068306 + ... + 13750254.

Almost surely, 29144445086720 is an apocalyptic number.

9144445086720 is a gapful number since it is divisible by the number (90) 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 9144445086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416391404000).

9144445086720 is an abundant number, since it is smaller than the sum of its proper divisors (23688337721280).

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

9144445086720 is a wasteful number, since it uses less digits than its factorization.

9144445086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682080 (or 682056 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 9144445086720 in words is "nine trillion, one hundred forty-four billion, four hundred forty-five million, eighty-six thousand, seven hundred twenty".