Search a number
-
+
241420301040 = 24351005917921
BaseRepresentation
bin1110000011010111000…
…1010111001011110000
3212002010222212222202010
43200311301113023300
512423412044113130
6302523522522520
723304422462112
oct3406561271360
9762128788663
10241420301040
1193427514456
123a957206440
13199c570a649
14b9831673b2
15642e9b10b0
hex3835c572f0

241420301040 has 40 divisors (see below), whose sum is σ = 748402933968. Its totient is φ = 64378746880.

The previous prime is 241420300999. The next prime is 241420301069. The reversal of 241420301040 is 40103024142.

241420301040 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 241420300998 and 241420301016.

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 7 ways as a sum of consecutive naturals, for example, 502958721 + ... + 502959200.

Almost surely, 2241420301040 is an apocalyptic number.

241420301040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241420301040 is an abundant number, since it is smaller than the sum of its proper divisors (506982632928).

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

241420301040 is a wasteful number, since it uses less digits than its factorization.

241420301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005917937 (or 1005917931 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 241420301040 its reverse (40103024142), we get a palindrome (281523325182).

The spelling of 241420301040 in words is "two hundred forty-one billion, four hundred twenty million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1005917921 2011835842 3017753763 4023671684 5029589605 6035507526 8047343368 10059179210 12071015052 15088768815 16094686736 20118358420 24142030104 30177537630 40236716840 48284060208 60355075260 80473433680 120710150520 241420301040