Search a number
-
+
244320033012000 = 253531118061102481
BaseRepresentation
bin110111100011010100110000…
…110001110111100100100000
31012001001202201011211020202120
4313203110300301313210200
5224010414411422341000
62223343023525544240
7102314353115165661
oct6743246061674440
91161052634736676
10244320033012000
11709365a9252750
122349aa38875080
13a64338494650a
14444921cdbb368
151d3a4d10126a0
hexde3530c77920

244320033012000 has 384 divisors, whose sum is σ = 873212241597696. Its totient is φ = 59225241600000.

The previous prime is 244320033011993. The next prime is 244320033012007. The reversal of 244320033012000 is 210330023442.

It is an interprime number because it is at equal distance from previous prime (244320033011993) and next prime (244320033012007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (244320033012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2384000760 + ... + 2384103240.

It is an arithmetic number, because the mean of its divisors is an integer number (2273990212494).

Almost surely, 2244320033012000 is an apocalyptic number.

244320033012000 is a gapful number since it is divisible by the number (20) 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 244320033012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436606120798848).

244320033012000 is an abundant number, since it is smaller than the sum of its proper divisors (628892208585696).

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

244320033012000 is a wasteful number, since it uses less digits than its factorization.

244320033012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120581 (or 120563 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 244320033012000 its reverse (210330023442), we get a palindrome (244530363035442).

The spelling of 244320033012000 in words is "two hundred forty-four trillion, three hundred twenty billion, thirty-three million, twelve thousand".