Search a number
-
+
41024034201304 = 23711151616371563
BaseRepresentation
bin10010101001111101001101…
…11111000101111011011000
312101020212012110221100212101
421110332212333011323120
520334114210223420204
6223130103043053144
711432613545120350
oct1124764677057330
9171225173840771
1041024034201304
11120872168a3150
1247268960711b4
1319b771bc7599b
14a1b806901b60
154b21e147cea4
hex254fa6fc5ed8

41024034201304 has 128 divisors (see below), whose sum is σ = 96552454164480. Its totient is φ = 15874741584000.

The previous prime is 41024034201277. The next prime is 41024034201307. The reversal of 41024034201304 is 40310243042014.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41024034201307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573221827 + ... + 573293389.

It is an arithmetic number, because the mean of its divisors is an integer number (754316048160).

Almost surely, 241024034201304 is an apocalyptic number.

41024034201304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41024034201304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48276227082240).

41024034201304 is an abundant number, since it is smaller than the sum of its proper divisors (55528419963176).

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

41024034201304 is a wasteful number, since it uses less digits than its factorization.

41024034201304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77901 (or 77897 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 41024034201304 its reverse (40310243042014), we get a palindrome (81334277243318).

The spelling of 41024034201304 in words is "forty-one trillion, twenty-four billion, thirty-four million, two hundred one thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 151 154 302 308 604 616 1057 1208 1661 2114 3322 4228 6163 6644 8456 11627 12326 13288 23254 24652 43141 46508 49304 67793 71563 86282 93016 135586 143126 172564 271172 286252 345128 474551 500941 542344 572504 787193 930613 949102 1001882 1574386 1861226 1898204 2003764 3148772 3722452 3796408 4007528 5510351 6297544 6514291 7444904 10236743 10806013 11020702 13028582 20473486 21612026 22041404 26057164 40946972 43224052 44082808 52114328 71657201 75642091 81893944 86448104 118866143 143314402 151284182 237732286 286628804 302568364 441042769 475464572 573257608 605136728 832063001 882085538 950929144 1664126002 1764171076 3087299383 3328252004 3528342152 4851470459 6174598766 6656504008 9702940918 12349197532 19405881836 24698395064 33960293213 38811763672 66597458119 67920586426 133194916238 135841172852 266389832476 271682345704 466182206833 532779664952 732572039309 932364413666 1465144078618 1864728827332 2930288157236 3729457654664 5128004275163 5860576314472 10256008550326 20512017100652 41024034201304