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5114241046144 = 27192331933347
BaseRepresentation
bin100101001101100000010…
…0001010101011010000000
3200002220202020210120101101
41022123000201111122000
51132242431201434034
614513241102344144
71035330442426456
oct112330041253200
920086666716341
105114241046144
1116a1a3481938a
126a7210b8b054
132b136a10b919
1413975dd089d6
158d076d05514
hex4a6c0855680

5114241046144 has 96 divisors (see below), whose sum is σ = 10756550800800. Its totient is φ = 2421732708864.

The previous prime is 5114241046141. The next prime is 5114241046153. The reversal of 5114241046144 is 4416401424115.

It is a super-2 number, since 2×51142410461442 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5114241046141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153347679 + ... + 153381025.

It is an arithmetic number, because the mean of its divisors is an integer number (112047404175).

Almost surely, 25114241046144 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 5114241046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378275400400).

5114241046144 is an abundant number, since it is smaller than the sum of its proper divisors (5642309754656).

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

5114241046144 is a wasteful number, since it uses less digits than its factorization.

5114241046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36718 (or 36687 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 5114241046144 in words is "five trillion, one hundred fourteen billion, two hundred forty-one million, forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 722 1216 1444 2432 2888 3319 5776 6638 11552 13276 23104 26552 33347 46208 53104 63061 66694 106208 126122 133388 212416 252244 266776 424832 504488 533552 633593 1008976 1067104 1198159 1267186 2017952 2134208 2396318 2534372 4035904 4268416 4792636 5068744 8071808 9585272 10137488 12038267 19170544 20274976 24076534 38341088 40549952 48153068 76682176 81099904 96306136 110678693 153364352 192612272 221357386 385224544 442714772 770449088 885429544 1540898176 1770859088 2102895167 3541718176 4205790334 7083436352 8411580668 14166872704 16823161336 33646322672 39955008173 67292645344 79910016346 134585290688 159820032692 269170581376 319640065384 639280130768 1278560261536 2557120523072 5114241046144