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146115022248 = 233213156105793
BaseRepresentation
bin1000100000010100100…
…0100100110110101000
3111222011000012012021200
42020011020210312220
54343220421202443
6151042504004200
713361603124336
oct2100510446650
9458130165250
10146115022248
1156a70136938
1224399760660
1310a17731060
14710181cb56
153c029c9dd3
hex2205224da8

146115022248 has 48 divisors (see below), whose sum is σ = 426168817620. Its totient is φ = 44958468096.

The previous prime is 146115022237. The next prime is 146115022279. The reversal of 146115022248 is 842220511641.

146115022248 is a `hidden beast` number, since 1 + 461 + 150 + 2 + 2 + 2 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133723325124 + 12391697124 = 365682^2 + 111318^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78051961 + ... + 78053832.

Almost surely, 2146115022248 is an apocalyptic number.

146115022248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146115022248 is an abundant number, since it is smaller than the sum of its proper divisors (280053795372).

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

146115022248 is a wasteful number, since it uses less digits than its factorization.

146115022248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156105818 (or 156105811 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 146115022248 its reverse (842220511641), we get a palindrome (988335533889).

The spelling of 146115022248 in words is "one hundred forty-six billion, one hundred fifteen million, twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 156105793 312211586 468317379 624423172 936634758 1248846344 1404952137 1873269516 2029375309 2809904274 3746539032 4058750618 5619808548 6088125927 8117501236 11239617096 12176251854 16235002472 18264377781 24352503708 36528755562 48705007416 73057511124 146115022248