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41301324240 = 243511137114193
BaseRepresentation
bin100110011101110000…
…000011000111010000
310221121100201122202120
4212131300003013100
51134041114333430
630550142414240
72661325315011
oct463560030720
9127540648676
1041301324240
1116574580220
128007891380
133b828621c7
141ddb355008
15111ad89610
hex99dc031d0

41301324240 has 160 divisors (see below), whose sum is σ = 140694316416. Its totient is φ = 9939271680.

The previous prime is 41301324223. The next prime is 41301324269. The reversal of 41301324240 is 4242310314.

It is a super-2 number, since 2×413013242402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41301324240.

It is a congruent number.

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, 304584 + ... + 418776.

Almost surely, 241301324240 is an apocalyptic number.

41301324240 is a gapful number since it is divisible by the number (40) 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 41301324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70347158208).

41301324240 is an abundant number, since it is smaller than the sum of its proper divisors (99392992176).

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

41301324240 is a wasteful number, since it uses less digits than its factorization.

41301324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114357 (or 114351 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41301324240 its reverse (4242310314), we get a palindrome (45543634554).

The spelling of 41301324240 in words is "forty-one billion, three hundred one million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 137 165 176 220 240 264 274 330 411 440 528 548 660 685 822 880 1096 1320 1370 1507 1644 2055 2192 2640 2740 3014 3288 4110 4521 5480 6028 6576 7535 8220 9042 10960 12056 15070 16440 18084 22605 24112 30140 32880 36168 45210 60280 72336 90420 114193 120560 180840 228386 342579 361680 456772 570965 685158 913544 1141930 1256123 1370316 1712895 1827088 2283860 2512246 2740632 3425790 3768369 4567720 5024492 5481264 6280615 6851580 7536738 9135440 10048984 12561230 13703160 15073476 15644441 18841845 20097968 25122460 27406320 30146952 31288882 37683690 46933323 50244920 60293904 62577764 75367380 78222205 93866646 100489840 125155528 150734760 156444410 172088851 187733292 234666615 250311056 301469520 312888820 344177702 375466584 469333230 516266553 625777640 688355404 750933168 860444255 938666460 1032533106 1251555280 1376710808 1720888510 1877332920 2065066212 2581332765 2753421616 3441777020 3754665840 4130132424 5162665530 6883554040 8260264848 10325331060 13767108080 20650662120 41301324240