Search a number
-
+
241132087800 = 233252133962271
BaseRepresentation
bin1110000010010010010…
…1111010100111111000
3212001101220120020111200
43200210211322213320
512422314303302200
6302435145254200
723264322633222
oct3404445724770
9761356506450
10241132087800
119329986059a
123a896794360
131997aaa8776
14b956b81412
15641452e800
hex382497a9f8

241132087800 has 72 divisors (see below), whose sum is σ = 809801934240. Its totient is φ = 64301889600.

The previous prime is 241132087759. The next prime is 241132087831. The reversal of 241132087800 is 8780231142.

241132087800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 17 ways as a sum of consecutive naturals, for example, 66979336 + ... + 66982935.

Almost surely, 2241132087800 is an apocalyptic number.

241132087800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241132087800 is an abundant number, since it is smaller than the sum of its proper divisors (568669846440).

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

241132087800 is a wasteful number, since it uses less digits than its factorization.

241132087800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133962293 (or 133962281 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 241132087800 in words is "two hundred forty-one billion, one hundred thirty-two million, eighty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 133962271 267924542 401886813 535849084 669811355 803773626 1071698168 1205660439 1339622710 1607547252 2009434065 2411320878 2679245420 3215094504 3349056775 4018868130 4822641756 5358490840 6028302195 6698113550 8037736260 9645283512 10047170325 12056604390 13396227100 16075472520 20094340650 24113208780 26792454200 30141510975 40188681300 48226417560 60283021950 80377362600 120566043900 241132087800