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244144131114 = 231371193228421
BaseRepresentation
bin1110001101100000011…
…1111100110000101010
3212100011211020220011110
43203120013330300222
513000001344143424
6304054104011150
723432055605502
oct3433007746052
9770154226143
10244144131114
11945a4aa7294
123b397460ab6
131a03ab18910
14bb60c00a02
15653dba1c29
hex38d81fcc2a

244144131114 has 64 divisors (see below), whose sum is σ = 536020547328. Its totient is φ = 73679155200.

The previous prime is 244144130981. The next prime is 244144131151. The reversal of 244144131114 is 411131441442.

244144131114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 954624 + ... + 1183044.

It is an arithmetic number, because the mean of its divisors is an integer number (8375321052).

Almost surely, 2244144131114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244144131114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268010273664).

244144131114 is an abundant number, since it is smaller than the sum of its proper divisors (291876416214).

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

244144131114 is a wasteful number, since it uses less digits than its factorization.

244144131114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228703.

The product of its digits is 6144, while the sum is 30.

Adding to 244144131114 its reverse (411131441442), we get a palindrome (655275572556).

The spelling of 244144131114 in words is "two hundred forty-four billion, one hundred forty-four million, one hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 71 78 142 193 213 386 426 579 923 1158 1846 2509 2769 5018 5538 7527 13703 15054 27406 41109 82218 178139 228421 356278 456842 534417 685263 1068834 1370526 2969473 5938946 8908419 16217891 17816838 32435782 44085253 48653673 88170506 97307346 132255759 210832583 264511518 421665166 573108289 632497749 1146216578 1264995498 1719324867 3130052963 3438649734 6260105926 9390158889 18780317778 40690688519 81381377038 122072065557 244144131114