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41301242320 = 24513109364337
BaseRepresentation
bin100110011101101111…
…101111000111010000
310221121100120111101111
4212131233233013100
51134041104223240
630550140543104
72661324524122
oct463557570720
9127540514344
1041301242320
1116574524718
128007851a94
133b82833b30
141ddb333212
15111ad701ea
hex99dbef1d0

41301242320 has 80 divisors (see below), whose sum is σ = 104360976720. Its totient is φ = 15109742592.

The previous prime is 41301242303. The next prime is 41301242407. The reversal of 41301242320 is 2324210314.

It can be written as a sum of positive squares in 8 ways, for example, as 745726864 + 40555515456 = 27308^2 + 201384^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 41301242291 and 41301242300.

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, 68809 + ... + 295528.

It is an arithmetic number, because the mean of its divisors is an integer number (1304512209).

Almost surely, 241301242320 is an apocalyptic number.

41301242320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41301242320 is an abundant number, since it is smaller than the sum of its proper divisors (63059734400).

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

41301242320 is a wasteful number, since it uses less digits than its factorization.

41301242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364472 (or 364466 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 41301242320 its reverse (2324210314), we get a palindrome (43625452634).

The spelling of 41301242320 in words is "forty-one billion, three hundred one million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 109 130 208 218 260 436 520 545 872 1040 1090 1417 1744 2180 2834 4360 5668 7085 8720 11336 14170 22672 28340 56680 113360 364337 728674 1457348 1821685 2914696 3643370 4736381 5829392 7286740 9472762 14573480 18945524 23681905 29146960 37891048 39712733 47363810 75782096 79425466 94727620 158850932 189455240 198563665 317701864 378910480 397127330 516265529 635403728 794254660 1032531058 1588509320 2065062116 2581327645 3177018640 4130124232 5162655290 8260248464 10325310580 20650621160 41301242320