Search a number
-
+
141324572704128 = 27311531075939949
BaseRepresentation
bin100000001000100010110000…
…111101000011110110000000
3200112101111102110110200220020
4200020202300331003312000
5122010430211103013003
61220323340141013440
741524235441353332
oct4010426075036600
9615344373420806
10141324572704128
1141037461a70780
1213a25795554280
1360b1b08663848
1426c8208191452
15115129a82cd53
hex8088b0f43d80

141324572704128 has 512 divisors, whose sum is σ = 421898963904000. Its totient is φ = 41550538997760.

The previous prime is 141324572704079. The next prime is 141324572704163. The reversal of 141324572704128 is 821407275423141.

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 63 ways as a sum of consecutive naturals, for example, 14204897298 + ... + 14204907246.

It is an arithmetic number, because the mean of its divisors is an integer number (824021413875).

Almost surely, 2141324572704128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141324572704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210949481952000).

141324572704128 is an abundant number, since it is smaller than the sum of its proper divisors (280574391199872).

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

141324572704128 is a wasteful number, since it uses less digits than its factorization.

141324572704128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730 (or 10718 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 141324572704128 in words is "one hundred forty-one trillion, three hundred twenty-four billion, five hundred seventy-two million, seven hundred four thousand, one hundred twenty-eight".