Search a number
-
+
241432123350 = 235211983148853
BaseRepresentation
bin1110000011011001111…
…0011101011111010110
3212002011211010121220110
43200312132131133112
512423423110421400
6302525024143450
723304625121355
oct3406636353726
9762154117813
10241432123350
1193433159760
123a95b167b86
13199c7cb97b2
14b98496399c
156430a48e50
hex383679d7d6

241432123350 has 96 divisors (see below), whose sum is σ = 653852507904. Its totient is φ = 58469065600.

The previous prime is 241432123313. The next prime is 241432123417. The reversal of 241432123350 is 53321234142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1547524 + ... + 1696376.

It is an arithmetic number, because the mean of its divisors is an integer number (6810963624).

Almost surely, 2241432123350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241432123350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326926253952).

241432123350 is an abundant number, since it is smaller than the sum of its proper divisors (412420384554).

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

241432123350 is a wasteful number, since it uses less digits than its factorization.

241432123350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149862 (or 149857 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 241432123350 its reverse (53321234142), we get a palindrome (294753357492).

The spelling of 241432123350 in words is "two hundred forty-one billion, four hundred thirty-two million, one hundred twenty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 983 1650 1966 2949 4915 5898 9830 10813 14745 21626 24575 29490 32439 49150 54065 64878 73725 108130 147450 148853 162195 270325 297706 324390 446559 540650 744265 810975 893118 1488530 1621950 1637383 2232795 3274766 3721325 4465590 4912149 7442650 8186915 9824298 11163975 16373830 22327950 24560745 40934575 49121490 81869150 122803725 146322499 245607450 292644998 438967497 731612495 877934994 1463224990 1609547489 2194837485 3219094978 3658062475 4389674970 4828642467 7316124950 8047737445 9657284934 10974187425 16095474890 21948374850 24143212335 40238687225 48286424670 80477374450 120716061675 241432123350