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42341026208 = 2513593494943
BaseRepresentation
bin100111011011101110…
…001100100110100000
311001021211002222201212
4213123232030212200
51143203300314313
631241243045252
73026151533045
oct473356144640
9131254088655
1042341026208
1116a58450748
128257b10828
133cba090380
1420994791cc
15117c2ae3a8
hex9dbb8c9a0

42341026208 has 96 divisors (see below), whose sum is σ = 91572768000. Its totient is φ = 19151870976.

The previous prime is 42341026207. The next prime is 42341026229. The reversal of 42341026208 is 80262014324.

42341026208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42341026207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8563385 + ... + 8568327.

It is an arithmetic number, because the mean of its divisors is an integer number (953883000).

Almost surely, 242341026208 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 42341026208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45786384000).

42341026208 is an abundant number, since it is smaller than the sum of its proper divisors (49231741792).

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

42341026208 is a wasteful number, since it uses less digits than its factorization.

42341026208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 42341026208 in words is "forty-two billion, three hundred forty-one million, twenty-six thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 59 104 118 208 236 349 416 472 698 767 944 1396 1534 1888 2792 3068 4537 4943 5584 6136 9074 9886 11168 12272 18148 19772 20591 24544 36296 39544 41182 64259 72592 79088 82364 128518 145184 158176 164728 257036 267683 291637 329456 514072 535366 583274 658912 1028144 1070732 1166548 1725107 2056288 2141464 2333096 3450214 3791281 4282928 4666192 6900428 7582562 8565856 9332384 13800856 15165124 22426391 27601712 30330248 44852782 55203424 60660496 89705564 101781313 121320992 179411128 203562626 358822256 407125252 717644512 814250504 1323157069 1628501008 2646314138 3257002016 5292628276 10585256552 21170513104 42341026208