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244420103412 = 2232291511154943
BaseRepresentation
bin1110001110100010010…
…0101100110011110100
3212100220001112201222200
43203220210230303310
513001033021302122
6304141323024500
723441646412452
oct3435044546364
9770801481880
10244420103412
119472685a371
123b45396b130
131a083052c34
14bb8971b9d2
1565580165ac
hex38e892ccf4

244420103412 has 72 divisors (see below), whose sum is σ = 639571645440. Its totient is φ = 78611373120.

The previous prime is 244420103359. The next prime is 244420103413. The reversal of 244420103412 is 214301024442.

244420103412 is a `hidden beast` number, since 2 + 4 + 44 + 201 + 0 + 3 + 412 = 666.

244420103412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244420103413) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1500013 + ... + 1654955.

It is an arithmetic number, because the mean of its divisors is an integer number (8882939520).

Almost surely, 2244420103412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244420103412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319785822720).

244420103412 is an abundant number, since it is smaller than the sum of its proper divisors (395151542028).

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

244420103412 is a wasteful number, since it uses less digits than its factorization.

244420103412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156493 (or 156488 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 244420103412 its reverse (214301024442), we get a palindrome (458721127854).

The spelling of 244420103412 in words is "two hundred forty-four billion, four hundred twenty million, one hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1511 3022 4533 6044 9066 13599 18132 27198 43819 54396 87638 131457 154943 175276 262914 309886 394371 464829 525828 619772 788742 929658 1394487 1577484 1859316 2788974 4493347 5577948 8986694 13480041 17973388 26960082 40440123 53920164 80880246 161760492 234118873 468237746 702356619 936475492 1404713238 2107069857 2809426476 4214139714 6789447317 8428279428 13578894634 20368341951 27157789268 40736683902 61105025853 81473367804 122210051706 244420103412