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42755015895040 = 21155218014001
BaseRepresentation
bin10011011100010101011011…
…00010001110100000000000
312121101100011120101022002201
421232022231202032200000
521100444233032120130
6230533214432122544
712001643102546551
oct1156125542164000
9177340146338081
1042755015895040
11126943339407a9
124966260396454
131ab1a1c2711c7
14a7b4d4bdc328
154e2251b8cbca
hex26e2ad88e800

42755015895040 has 96 divisors (see below), whose sum is σ = 102783903211080. Its totient is φ = 17069178880000.

The previous prime is 42755015895023. The next prime is 42755015895043. The reversal of 42755015895040 is 4059851055724.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24734787134464 + 18020228760576 = 4973408^2 + 4245024^2 .

It is not an unprimeable number, because it can be changed into a prime (42755015895043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1328040 + ... + 9342040.

Almost surely, 242755015895040 is an apocalyptic number.

42755015895040 is a gapful number since it is divisible by the number (40) 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 42755015895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51391951605540).

42755015895040 is an abundant number, since it is smaller than the sum of its proper divisors (60028887316040).

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

42755015895040 is an equidigital number, since it uses as much as digits as its factorization.

42755015895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8014549 (or 8014529 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 55.

The spelling of 42755015895040 in words is "forty-two trillion, seven hundred fifty-five billion, fifteen million, eight hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 521 640 1024 1042 1280 2048 2084 2560 2605 4168 5120 5210 8336 10240 10420 16672 20840 33344 41680 66688 83360 133376 166720 266752 333440 533504 666880 1067008 1333760 2667520 5335040 8014001 16028002 32056004 40070005 64112008 80140010 128224016 160280020 256448032 320560040 512896064 641120080 1025792128 1282240160 2051584256 2564480320 4103168512 4175294521 5128960640 8206337024 8350589042 10257921280 16412674048 16701178084 20515842560 20876472605 33402356168 41031685120 41752945210 66804712336 82063370240 83505890420 133609424672 167011780840 267218849344 334023561680 534437698688 668047123360 1068875397376 1336094246720 2137750794752 2672188493440 4275501589504 5344376986880 8551003179008 10688753973760 21377507947520 42755015895040