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1041240131616 = 253591671100807
BaseRepresentation
bin11110010011011101011…
…11111000100000100000
310200112121211000011202010
433021232233320200200
5114024424433202431
62114201125352520
7135140621041626
oct17115657704040
93615554004663
101041240131616
11371650a001a3
12149971268740
137725b253c99
14385795cd516
151c142064846
hexf26ebf8820

1041240131616 has 96 divisors (see below), whose sum is σ = 2796228449280. Its totient is φ = 339153925376.

The previous prime is 1041240131609. The next prime is 1041240131663. The reversal of 1041240131616 is 6161310421401.

1041240131616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395485 + ... + 1496291.

It is an arithmetic number, because the mean of its divisors is an integer number (29127379680).

Almost surely, 21041240131616 is an apocalyptic number.

1041240131616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041240131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398114224640).

1041240131616 is an abundant number, since it is smaller than the sum of its proper divisors (1754988317664).

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

1041240131616 is a wasteful number, since it uses less digits than its factorization.

1041240131616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101046 (or 1101038 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 1041240131616 in words is "one trillion, forty-one billion, two hundred forty million, one hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 167 177 236 334 354 472 501 668 708 944 1002 1336 1416 1888 2004 2672 2832 4008 5344 5664 8016 9853 16032 19706 29559 39412 59118 78824 118236 157648 236472 315296 472944 945888 1100807 2201614 3302421 4403228 6604842 8806456 13209684 17612912 26419368 35225824 52838736 64947613 105677472 129895226 183834769 194842839 259790452 367669538 389685678 519580904 551504307 735339076 779371356 1039161808 1103008614 1470678152 1558742712 2078323616 2206017228 2941356304 3117485424 4412034456 5882712608 6234970848 8824068912 10846251371 17648137824 21692502742 32538754113 43385005484 65077508226 86770010968 130155016452 173540021936 260310032904 347080043872 520620065808 1041240131616