Search a number
-
+
120171145640 = 235721317277429
BaseRepresentation
bin110111111101011000…
…0100010100110101000
3102111011221012201011212
41233322300202212220
53432102303130030
6131112244412252
711452644612200
oct1577260424650
9374157181155
10120171145640
1146a6752a3a7
121b3590a7088
13b4417aac90
145b5dd77400
1531d5010595
hex1bfac229a8

120171145640 has 192 divisors, whose sum is σ = 358650406800. Its totient is φ = 35794870272.

The previous prime is 120171145631. The next prime is 120171145649. The reversal of 120171145640 is 46541171021.

It is an interprime number because it is at equal distance from previous prime (120171145631) and next prime (120171145649).

It can be written as a sum of positive squares in 8 ways, for example, as 13773839044 + 106397306596 = 117362^2 + 326186^2 .

It is a super-2 number, since 2×1201711456402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120171145597 and 120171145606.

It is not an unprimeable number, because it can be changed into a prime (120171145649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294446 + ... + 571874.

Almost surely, 2120171145640 is an apocalyptic number.

120171145640 is a gapful number since it is divisible by the number (10) 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 120171145640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179325203400).

120171145640 is an abundant number, since it is smaller than the sum of its proper divisors (238479261160).

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

120171145640 is a wasteful number, since it uses less digits than its factorization.

120171145640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277484 (or 277473 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 120171145640 in words is "one hundred twenty billion, one hundred seventy-one million, one hundred forty-five thousand, six hundred forty".