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244104434040 = 23353735453629
BaseRepresentation
bin1110001101010111000…
…0100001000101111000
3212100002001120002000110
43203111300201011320
512444411213342130
6304050125104320
723431064311545
oct3432560410570
9770061502013
10244104434040
1194584653295
123b3860b80a0
131a032829c1c
14bb59829bcc
15653a45eab0
hex38d5c21178

244104434040 has 64 divisors (see below), whose sum is σ = 734276743200. Its totient is φ = 64919987712.

The previous prime is 244104434023. The next prime is 244104434047. The reversal of 244104434040 is 40434401442.

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

It is a junction number, because it is equal to n+sod(n) for n = 244104433989 and 244104434007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244104434047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2682055 + ... + 2771574.

Almost surely, 2244104434040 is an apocalyptic number.

244104434040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244104434040 is an abundant number, since it is smaller than the sum of its proper divisors (490172309160).

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

244104434040 is a wasteful number, since it uses less digits than its factorization.

244104434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454016 (or 5454012 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 244104434040 its reverse (40434401442), we get a palindrome (284538835482).

The spelling of 244104434040 in words is "two hundred forty-four billion, one hundred four million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 373 746 1119 1492 1865 2238 2984 3730 4476 5595 7460 8952 11190 14920 22380 44760 5453629 10907258 16360887 21814516 27268145 32721774 43629032 54536290 65443548 81804435 109072580 130887096 163608870 218145160 327217740 654435480 2034203617 4068407234 6102610851 8136814468 10171018085 12205221702 16273628936 20342036170 24410443404 30513054255 40684072340 48820886808 61026108510 81368144680 122052217020 244104434040