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42204056240 = 2454379155299
BaseRepresentation
bin100111010011100011…
…101100101010110000
311000221021101012021002
4213103203230222300
51142413214244430
631215511221132
73022566362513
oct472343545260
9130837335232
1042204056240
11169980a9125
12821a0777a8
133c978a4258
1420851c2d7a
151170255845
hex9d38ecab0

42204056240 has 80 divisors (see below), whose sum is σ = 101678016000. Its totient is φ = 16280199936.

The previous prime is 42204056189. The next prime is 42204056263. The reversal of 42204056240 is 4265040224.

42204056240 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 (80).

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, 194111 + ... + 349409.

It is an arithmetic number, because the mean of its divisors is an integer number (1270975200).

Almost surely, 242204056240 is an apocalyptic number.

42204056240 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 42204056240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50839008000).

42204056240 is an abundant number, since it is smaller than the sum of its proper divisors (59473959760).

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

42204056240 is a wasteful number, since it uses less digits than its factorization.

42204056240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155434 (or 155428 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 42204056240 its reverse (4265040224), we get a palindrome (46469096464).

The spelling of 42204056240 in words is "forty-two billion, two hundred four million, fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 79 80 86 158 172 215 316 344 395 430 632 688 790 860 1264 1580 1720 3160 3397 3440 6320 6794 13588 16985 27176 33970 54352 67940 135880 155299 271760 310598 621196 776495 1242392 1552990 2484784 3105980 6211960 6677857 12268621 12423920 13355714 24537242 26711428 33389285 49074484 53422856 61343105 66778570 98148968 106845712 122686210 133557140 196297936 245372420 267114280 490744840 527550703 534228560 981489680 1055101406 2110202812 2637753515 4220405624 5275507030 8440811248 10551014060 21102028120 42204056240