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241655256348 = 2231123220336131
BaseRepresentation
bin1110000100001111000…
…1101001010100011100
3212002202100222221211120
43201003301221110130
512424402221200343
6303003114450540
723313304534032
oct3410361512434
9762670887746
10241655256348
11935381018a0
123aa01a33a50
1319a322b325c
14b9a6448552
156445422683
hex3843c6951c

241655256348 has 96 divisors (see below), whose sum is σ = 642176059392. Its totient is φ = 70011268800.

The previous prime is 241655256347. The next prime is 241655256361. The reversal of 241655256348 is 843652556142.

It is a self number, because there is not a number n which added to its sum of digits gives 241655256348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241655256347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6670243 + ... + 6706373.

It is an arithmetic number, because the mean of its divisors is an integer number (6689333952).

Almost surely, 2241655256348 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 241655256348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321088029696).

241655256348 is an abundant number, since it is smaller than the sum of its proper divisors (400520803044).

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

241655256348 is a wasteful number, since it uses less digits than its factorization.

241655256348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38375 (or 38373 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 51.

The spelling of 241655256348 in words is "two hundred forty-one billion, six hundred fifty-five million, two hundred fifty-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 2203 3036 4406 6609 8812 13218 24233 26436 36131 48466 50669 72262 72699 96932 101338 108393 144524 145398 152007 202676 216786 290796 304014 397441 433572 557359 608028 794882 831013 1114718 1192323 1589764 1662026 1672077 2229436 2384646 2493039 3324052 3344154 4769292 4986078 6688308 9141143 9972156 18282286 27423429 36564572 54846858 79596593 109693716 159193186 238789779 318386372 477579558 875562523 955159116 1751125046 1830721639 2626687569 3502250092 3661443278 5253375138 5492164917 7322886556 10506750276 10984329834 20137938029 21968659668 40275876058 60413814087 80551752116 120827628174 241655256348