Search a number
-
+
241005612504 = 233443199711351
BaseRepresentation
bin1110000001110100001…
…1011100110111011000
3212001002002120122000110
43200131003130313120
512422034414100004
6302414430404320
723261225622456
oct3403503346730
9761062518013
10241005612504
1193234426858
123a8603606a0
131995a825407
14b94405b9d6
15640839a589
hex381d0dcdd8

241005612504 has 64 divisors (see below), whose sum is σ = 604229725440. Its totient is φ = 80106665600.

The previous prime is 241005612481. The next prime is 241005612581. The reversal of 241005612504 is 405216500142.

241005612504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21226429 + ... + 21237779.

It is an arithmetic number, because the mean of its divisors is an integer number (9441089460).

Almost surely, 2241005612504 is an apocalyptic number.

241005612504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241005612504 is an abundant number, since it is smaller than the sum of its proper divisors (363224112936).

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

241005612504 is a wasteful number, since it uses less digits than its factorization.

241005612504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13800 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 241005612504 in words is "two hundred forty-one billion, five million, six hundred twelve thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 443 886 1329 1772 1997 2658 3544 3994 5316 5991 7988 10632 11351 11982 15976 22702 23964 34053 45404 47928 68106 90808 136212 272424 884671 1769342 2654013 3538684 5028493 5308026 7077368 10056986 10616052 15085479 20113972 21232104 22667947 30170958 40227944 45335894 60341916 68003841 90671788 120683832 136007682 181343576 272015364 544030728 10041900521 20083801042 30125701563 40167602084 60251403126 80335204168 120502806252 241005612504