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41303221000 = 2353295572557
BaseRepresentation
bin100110011101110111…
…010010001100001000
310221121111022000121221
4212131313102030020
51134042111033000
630550251211424
72661350404636
oct463567221410
9127544260557
1041303221000
1116575656298
128008446b74
133b83077652
141ddb6ca356
15111b11161a
hex99ddd2308

41303221000 has 128 divisors (see below), whose sum is σ = 100200952800. Its totient is φ = 15916723200.

The previous prime is 41303220967. The next prime is 41303221013. The reversal of 41303221000 is 12230314.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8758339396 + 32544881604 = 93586^2 + 180402^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16151722 + ... + 16154278.

Almost surely, 241303221000 is an apocalyptic number.

41303221000 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 41303221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50100476400).

41303221000 is an abundant number, since it is smaller than the sum of its proper divisors (58897731800).

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

41303221000 is a wasteful number, since it uses less digits than its factorization.

41303221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 41303221000 its reverse (12230314), we get a palindrome (41315451314).

The spelling of 41303221000 in words is "forty-one billion, three hundred three million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 557 580 725 1000 1114 1160 1450 2228 2557 2785 2900 3625 4456 5114 5570 5800 7250 10228 11140 12785 13925 14500 16153 20456 22280 25570 27850 29000 32306 51140 55700 63925 64612 69625 74153 80765 102280 111400 127850 129224 139250 148306 161530 255700 278500 296612 319625 323060 370765 403825 511400 557000 593224 639250 646120 741530 807650 1278500 1424249 1483060 1615300 1853825 2019125 2557000 2848498 2966120 3230600 3707650 4038250 5696996 7121245 7415300 8076500 9269125 11393992 14242490 14830600 16153000 18538250 28484980 35606225 37076500 41303221 56969960 71212450 74153000 82606442 142424900 165212884 178031125 206516105 284849800 330425768 356062250 413032210 712124500 826064420 1032580525 1424249000 1652128840 2065161050 4130322100 5162902625 8260644200 10325805250 20651610500 41303221000