Search a number
-
+
41304102211424 = 25131091852349177
BaseRepresentation
bin10010110010000110111000…
…10101110000111101100000
312102020122002220022101201002
421121003130111300331200
520403211300131231144
6223502502000331132
711462060104664243
oct1131033425607540
9172218086271632
1041304102211424
1112184a759a2438
124771018313aa8
131a07c6351c830
14a2b1b47c325a
154b9633d5714e
hex2590dc570f60

41304102211424 has 96 divisors (see below), whose sum is σ = 88382626849440. Its totient is φ = 18887134113792.

The previous prime is 41304102211397. The next prime is 41304102211499. The reversal of 41304102211424 is 42411220140314.

It is a super-2 number, since 2×413041022114242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839882324 + ... + 839931500.

It is an arithmetic number, because the mean of its divisors is an integer number (920652363015).

Almost surely, 241304102211424 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 41304102211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44191313424720).

41304102211424 is an abundant number, since it is smaller than the sum of its proper divisors (47078524638016).

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

41304102211424 is a wasteful number, since it uses less digits than its factorization.

41304102211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67832 (or 67824 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 41304102211424 its reverse (42411220140314), we get a palindrome (83715322351738).

The spelling of 41304102211424 in words is "forty-one trillion, three hundred four billion, one hundred two million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 208 218 416 436 872 1417 1744 2834 3488 5668 11336 18523 22672 37046 45344 49177 74092 98354 148184 196708 240799 296368 393416 481598 592736 639301 786832 963196 1278602 1573664 1926392 2019007 2557204 3852784 4038014 5114408 5360293 7705568 8076028 10228816 10720586 16152056 20457632 21441172 26247091 32304112 42882344 52494182 64608224 69683809 85764688 104988364 139367618 171529376 209976728 278735236 419953456 557470472 839906912 910905571 1114940944 1821811142 2229881888 3643622284 7287244568 11841772423 14574489136 23683544846 29148978272 47367089692 94734179384 99288707239 189468358768 198577414478 378936717536 397154828956 794309657912 1290753194107 1588619315824 2581506388214 3177238631648 5163012776428 10326025552856 20652051105712 41304102211424