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42325126761440 = 2551373467941177
BaseRepresentation
bin10011001111110100101100…
…01001010100101111100000
312112212020112212010121211202
421213322112021110233200
521021423324422331230
6230003521140100332
711625614045320415
oct1147722611245740
9175766485117752
1042325126761440
1112538a927089a6
1248b6a873946a8
131a8031c5175c3
14a6479321010c
154d5e91269a45
hex267e96254be0

42325126761440 has 96 divisors (see below), whose sum is σ = 100089757010880. Its totient is φ = 16913693569024.

The previous prime is 42325126761371. The next prime is 42325126761443. The reversal of 42325126761440 is 4416762152324.

42325126761440 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 (42325126761443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1027862132 + ... + 1027903308.

It is an arithmetic number, because the mean of its divisors is an integer number (1042601635530).

Almost surely, 242325126761440 is an apocalyptic number.

42325126761440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42325126761440 is an abundant number, since it is smaller than the sum of its proper divisors (57764630249440).

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

42325126761440 is a wasteful number, since it uses less digits than its factorization.

42325126761440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47244 (or 47236 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 42325126761440 in words is "forty-two trillion, three hundred twenty-five billion, one hundred twenty-six million, seven hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1373 2746 4679 5492 6865 9358 10984 13730 18716 21968 23395 27460 37432 41177 43936 46790 54920 74864 82354 93580 109840 149728 164708 187160 205885 219680 329416 374320 411770 658832 748640 823540 1317664 1647080 3294160 6424267 6588320 12848534 25697068 32121335 51394136 56536021 64242670 102788272 113072042 128485340 192667183 205576544 226144084 256970680 282680105 385334366 452288168 513941360 565360210 770668732 904576336 963335915 1027882720 1130720420 1541337464 1809152672 1926671830 2261440840 3082674928 3853343660 4522881680 6165349856 7706687320 9045763360 15413374640 30826749280 264532042259 529064084518 1058128169036 1322660211295 2116256338072 2645320422590 4232512676144 5290640845180 8465025352288 10581281690360 21162563380720 42325126761440