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41513104001320 = 23571631097982847
BaseRepresentation
bin10010111000001100001011…
…10100010100100100101000
312102222121120121001101111021
421130012011310110210220
520420122314111020240
6224142505014142224
711513136262615540
oct1134060564244450
9172877517041437
1041513104001320
1112255676a67616
1247a5626651974
131a218907978b3
14a37360224320
154becb770d54a
hex25c185d14928

41513104001320 has 128 divisors (see below), whose sum is σ = 107413956403200. Its totient is φ = 14144285650176.

The previous prime is 41513104001287. The next prime is 41513104001323. The reversal of 41513104001320 is 2310040131514.

It is not an unprimeable number, because it can be changed into a prime (41513104001323) 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, 501040137 + ... + 501122983.

It is an arithmetic number, because the mean of its divisors is an integer number (839171534400).

Almost surely, 241513104001320 is an apocalyptic number.

41513104001320 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 41513104001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53706978201600).

41513104001320 is an abundant number, since it is smaller than the sum of its proper divisors (65900852401880).

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

41513104001320 is a wasteful number, since it uses less digits than its factorization.

41513104001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94007 (or 94003 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 41513104001320 its reverse (2310040131514), we get a palindrome (43823144132834).

The spelling of 41513104001320 in words is "forty-one trillion, five hundred thirteen billion, one hundred four million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 163 280 326 652 815 1141 1304 1630 2282 3260 4564 5705 6520 9128 10979 11410 21958 22820 43916 45640 54895 76853 82847 87832 109790 153706 165694 219580 307412 331388 384265 414235 439160 579929 614824 662776 768530 828470 1159858 1537060 1656940 1789577 2319716 2899645 3074120 3313880 3579154 4639432 5799290 7158308 8947885 11598580 12527039 13504061 14316616 17895770 23197160 25054078 27008122 35791540 50108156 54016244 62635195 67520305 71583080 94528427 100216312 108032488 125270390 135040610 189056854 250540780 270081220 378113708 472642135 501081560 540162440 756227416 909577213 945284270 1819154426 1890568540 3638308852 3781137080 4547886065 6367040491 7276617704 9095772130 12734080982 18191544260 25468161964 31835202455 36383088520 50936323928 63670404910 127340809820 148261085719 254681619640 296522171438 593044342876 741305428595 1037827600033 1186088685752 1482610857190 2075655200066 2965221714380 4151310400132 5189138000165 5930443428760 8302620800264 10378276000330 20756552000660 41513104001320