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241041637416 = 2331723103249383
BaseRepresentation
bin1110000001111100110…
…0111000000000101000
3212001011121100212220110
43200133030320000220
512422123124344131
6302422154454320
723262144053406
oct3403714700050
9761147325813
10241041637416
11932527a1908
123a8704343a0
1319965129828
14b948b58476
15640b614646
hex381f338028

241041637416 has 128 divisors (see below), whose sum is σ = 672259461120. Its totient is φ = 71630490624.

The previous prime is 241041637409. The next prime is 241041637427. The reversal of 241041637416 is 614736140142.

It is a super-2 number, since 2×2410416374162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841861 + ... + 1091243.

It is an arithmetic number, because the mean of its divisors is an integer number (5252027040).

Almost surely, 2241041637416 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 241041637416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336129730560).

241041637416 is an abundant number, since it is smaller than the sum of its proper divisors (431217823704).

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

241041637416 is a wasteful number, since it uses less digits than its factorization.

241041637416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249535 (or 249531 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

Adding to 241041637416 its reverse (614736140142), we get a palindrome (855777777558).

The spelling of 241041637416 in words is "two hundred forty-one billion, forty-one million, six hundred thirty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 103 136 138 184 204 206 276 309 391 408 412 552 618 782 824 1173 1236 1564 1751 2346 2369 2472 3128 3502 4692 4738 5253 7004 7107 9384 9476 10506 14008 14214 18952 21012 28428 40273 42024 56856 80546 120819 161092 241638 249383 322184 483276 498766 748149 966552 997532 1496298 1995064 2992596 4239511 5735809 5985192 8479022 11471618 12718533 16958044 17207427 22943236 25437066 25686449 33916088 34414854 45886472 50874132 51372898 68829708 77059347 97508753 101748264 102745796 137659416 154118694 195017506 205491592 292526259 308237388 390035012 436669633 585052518 590788327 616474776 780070024 873339266 1170105036 1181576654 1310008899 1746678532 1772364981 2340210072 2363153308 2620017798 3493357064 3544729962 4726306616 5240035596 7089459924 10043401559 10480071192 14178919848 20086803118 30130204677 40173606236 60260409354 80347212472 120520818708 241041637416