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44000141214 = 231923314312589
BaseRepresentation
bin101000111110100111…
…001101111110011110
311012120110000202122210
4220332213031332132
51210103014004324
632114031421250
73115236013041
oct507647157636
9135513022583
1044000141214
1117729a29377
12863b684826
1341c2a23323
1421b595ac58
151227c88d29
hexa3e9cdf9e

44000141214 has 128 divisors (see below), whose sum is σ = 102105907200. Its totient is φ = 12561816960.

The previous prime is 44000141209. The next prime is 44000141239. The reversal of 44000141214 is 41214100044.

It is a congruent number.

It is an unprimeable number.

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, 3488832 + ... + 3501420.

It is an arithmetic number, because the mean of its divisors is an integer number (797702400).

Almost surely, 244000141214 is an apocalyptic number.

44000141214 is an abundant number, since it is smaller than the sum of its proper divisors (58105765986).

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

44000141214 is a wasteful number, since it uses less digits than its factorization.

44000141214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 44000141214 its reverse (41214100044), we get a palindrome (85214241258).

The spelling of 44000141214 in words is "forty-four billion, one hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 19 23 31 38 43 46 57 62 69 86 93 114 129 138 186 258 437 589 713 817 874 989 1178 1311 1333 1426 1634 1767 1978 2139 2451 2622 2666 2967 3534 3999 4278 4902 5934 7998 12589 13547 18791 25178 25327 27094 30659 37582 37767 40641 50654 56373 61318 75534 75981 81282 91977 112746 151962 183954 239191 289547 390259 478382 541327 579094 582521 717573 780518 868641 1082654 1165042 1170777 1435146 1623981 1737282 1747563 2341554 3247962 3495126 5501393 7414921 8975957 10285213 11002786 12450521 14829842 16504179 16781137 17951914 20570426 22244763 24901042 26927871 30855639 33008358 33562274 37351563 44489526 50343411 53855742 61711278 74703126 100686822 170543183 236559899 318841603 341086366 385966151 473119798 511629549 637683206 709679697 771932302 956524809 1023259098 1157898453 1419359394 1913049618 2315796906 7333356869 14666713738 22000070607 44000141214