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41351201120 = 2554343913691
BaseRepresentation
bin100110100000101110…
…010100000101100000
310221201211120122222102
4212200232110011200
51134141401413440
630555123425532
72662502260445
oct464056240540
9127654518872
1041351201120
111659a747489
1280205252a8
133b8cca6558
142003c199cc
15112043cb15
hex9a0b94160

41351201120 has 96 divisors (see below), whose sum is σ = 100199151360. Its totient is φ = 16117839360.

The previous prime is 41351201113. The next prime is 41351201137. The reversal of 41351201120 is 2110215314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41351201092 and 41351201101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3013475 + ... + 3027165.

It is an arithmetic number, because the mean of its divisors is an integer number (1043741160).

Almost surely, 241351201120 is an apocalyptic number.

41351201120 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 41351201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50099575680).

41351201120 is an abundant number, since it is smaller than the sum of its proper divisors (58847950240).

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

41351201120 is a wasteful number, since it uses less digits than its factorization.

41351201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14188 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 41351201120 its reverse (2110215314), we get a palindrome (43461416434).

The spelling of 41351201120 in words is "forty-one billion, three hundred fifty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 439 688 860 878 1376 1720 1756 2195 3440 3512 4390 6880 7024 8780 13691 14048 17560 18877 27382 35120 37754 54764 68455 70240 75508 94385 109528 136910 151016 188770 219056 273820 302032 377540 438112 547640 588713 604064 755080 1095280 1177426 1510160 2190560 2354852 2943565 3020320 4709704 5887130 6010349 9419408 11774260 12020698 18838816 23548520 24041396 30051745 47097040 48082792 60103490 94194080 96165584 120206980 192331168 240413960 258445007 480827920 516890014 961655840 1033780028 1292225035 2067560056 2584450070 4135120112 5168900140 8270240224 10337800280 20675600560 41351201120