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242281517520280 = 23572123613019143
BaseRepresentation
bin110111000101101010001111…
…110010011001010110011000
31011202211212221112021200211011
4313011222033302121112120
5223224020021441122110
62215142332000143304
7102014155602333400
oct6705521762312630
91152755845250734
10242281517520280
1170220018412977
122320b946007b34
13a526083a59774
1443b86b918d800
151d02471a3748a
hexdc5a8fc99598

242281517520280 has 48 divisors (see below), whose sum is σ = 634134788208720. Its totient is φ = 83067948863424.

The previous prime is 242281517520269. The next prime is 242281517520281. The reversal of 242281517520280 is 82025715182242.

It is a super-2 number, since 2×2422815175202802 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242281517520281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61806507612 + ... + 61806511531.

It is an arithmetic number, because the mean of its divisors is an integer number (13211141421015).

Almost surely, 2242281517520280 is an apocalyptic number.

242281517520280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242281517520280 is an abundant number, since it is smaller than the sum of its proper divisors (391853270688440).

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

242281517520280 is a wasteful number, since it uses less digits than its factorization.

242281517520280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123613019168 (or 123613019157 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 49.

The spelling of 242281517520280 in words is "two hundred forty-two trillion, two hundred eighty-one billion, five hundred seventeen million, five hundred twenty thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 123613019143 247226038286 494452076572 618065095715 865291134001 988904153144 1236130191430 1730582268002 2472260382860 3461164536004 4326455670005 4944520765720 6057037938007 6922329072008 8652911340010 12114075876014 17305822680020 24228151752028 30285189690035 34611645360040 48456303504056 60570379380070 121140758760140 242281517520280