Search a number
-
+
114924301568 = 284333131541
BaseRepresentation
bin110101100001000000…
…1011010110100000000
3101222122021100102012122
41223002001122310000
53340331110122233
6124443454343412
711205634305536
oct1530201326400
9358567312178
10114924301568
114481485482a
121a333abab68
13aab677330b
1457c31bc156
152ec9599d98
hex1ac205ad00

114924301568 has 72 divisors (see below), whose sum is σ = 235451188896. Its totient is φ = 55954483200.

The previous prime is 114924301553. The next prime is 114924301589. The reversal of 114924301568 is 865103429411.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3627878 + ... + 3659418.

Almost surely, 2114924301568 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 114924301568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117725594448).

114924301568 is an abundant number, since it is smaller than the sum of its proper divisors (120526887328).

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

114924301568 is an equidigital number, since it uses as much as digits as its factorization.

114924301568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31931 (or 31917 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 114924301568 in words is "one hundred fourteen billion, nine hundred twenty-four million, three hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 331 344 662 688 1324 1376 2648 2752 5296 5504 10592 11008 14233 21184 28466 31541 42368 56932 63082 84736 113864 126164 227728 252328 455456 504656 910912 1009312 1356263 1821824 2018624 2712526 3643648 4037248 5425052 8074496 10440071 10850104 20880142 21700208 41760284 43400416 83520568 86800832 167041136 173601664 334082272 347203328 448923053 668164544 897846106 1336329088 1795692212 2672658176 3591384424 7182768848 14365537696 28731075392 57462150784 114924301568