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3242130144 = 253112279109
BaseRepresentation
bin1100000100111110…
…1111101011100000
322100221122021110020
43001033233223200
523114441131034
61253414033440
7143225436321
oct30117575340
98327567406
103242130144
111414109400
12765948880
133c88ccb06
1422a834448
1513e971249
hexc13efae0

3242130144 has 72 divisors (see below), whose sum is σ = 9354650760. Its totient is φ = 982460160.

The previous prime is 3242130137. The next prime is 3242130167. The reversal of 3242130144 is 4410312423.

It is a super-2 number, since 2×32421301442 = 21022815741266921472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127939 + ... + 151170.

It is an arithmetic number, because the mean of its divisors is an integer number (129925705).

Almost surely, 23242130144 is an apocalyptic number.

It is an amenable number.

3242130144 is an abundant number, since it is smaller than the sum of its proper divisors (6112520616).

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

3242130144 is a wasteful number, since it uses less digits than its factorization.

3242130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279144 (or 279125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3242130144 is about 56939.7062163127. The cubic root of 3242130144 is about 1480.0514566964.

Adding to 3242130144 its reverse (4410312423), we get a palindrome (7652442567).

It can be divided in two parts, 3242 and 130144, that added together give a triangular number (133386 = T516).

The spelling of 3242130144 in words is "three billion, two hundred forty-two million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 279109 558218 837327 1116436 1674654 2232872 3070199 3349308 4465744 6140398 6698616 8931488 9210597 12280796 13397232 18421194 24561592 26794464 33772189 36842388 49123184 67544378 73684776 98246368 101316567 135088756 147369552 202633134 270177512 294739104 405266268 540355024 810532536 1080710048 1621065072 3242130144