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42180375248 = 24111714097719
BaseRepresentation
bin100111010010001001…
…010111001011010000
311000212121211002001022
4213102021113023100
51142341134001443
631213303455012
73022161162644
oct472211271320
9130777732038
1042180375248
11169857a4260
128212157468
133c92a0252b
142081dbac24
15116d128e68
hex9d22572d0

42180375248 has 40 divisors (see below), whose sum is σ = 94398333120. Its totient is φ = 18045079040.

The previous prime is 42180375247. The next prime is 42180375301. The reversal of 42180375248 is 84257308124.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 42180375199 and 42180375208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42180375247) 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, 7045868 + ... + 7051851.

It is an arithmetic number, because the mean of its divisors is an integer number (2359958328).

Almost surely, 242180375248 is an apocalyptic number.

It is an amenable number.

42180375248 is an abundant number, since it is smaller than the sum of its proper divisors (52217957872).

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

42180375248 is a wasteful number, since it uses less digits than its factorization.

42180375248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14097755 (or 14097749 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The spelling of 42180375248 in words is "forty-two billion, one hundred eighty million, three hundred seventy-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 14097719 28195438 56390876 112781752 155074909 225563504 239661223 310149818 479322446 620299636 958644892 1240599272 1917289784 2481198544 2636273453 3834579568 5272546906 10545093812 21090187624 42180375248