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201341333424 = 243711369114759
BaseRepresentation
bin1011101110000011100…
…0001110111110110000
3201020200211020111001010
42323200320032332300
511244321340132144
6232254523310520
720355266045040
oct2734070167660
9636624214033
10201341333424
117842aa2a920
123303097b440
1315ca91998aa
149a602c1720
1553860cb5b9
hex2ee0e0efb0

201341333424 has 160 divisors (see below), whose sum is σ = 648695623680. Its totient is φ = 52278739200.

The previous prime is 201341333423. The next prime is 201341333447. The reversal of 201341333424 is 424333143102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201341333391 and 201341333400.

It is not an unprimeable number, because it can be changed into a prime (201341333423) 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, 13634557 + ... + 13649315.

It is an arithmetic number, because the mean of its divisors is an integer number (4054347648).

Almost surely, 2201341333424 is an apocalyptic number.

201341333424 is a gapful number since it is divisible by the number (24) 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 201341333424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324347811840).

201341333424 is an abundant number, since it is smaller than the sum of its proper divisors (447354290256).

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

201341333424 is a wasteful number, since it uses less digits than its factorization.

201341333424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18479 (or 18473 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 201341333424 its reverse (424333143102), we get a palindrome (625674476526).

The spelling of 201341333424 in words is "two hundred one billion, three hundred forty-one million, three hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3691 3696 7382 11073 14759 14764 22146 25837 29518 29528 40601 44277 44292 51674 59036 59056 77511 81202 88554 88584 103313 103348 118072 121803 155022 162349 162404 177108 177168 206626 206696 236144 243606 284207 309939 310044 324698 324808 354216 413252 413392 487047 487212 568414 619878 620088 649396 649616 708432 826504 852621 974094 974424 1136443 1136828 1239756 1240176 1298792 1653008 1705242 1948188 1948848 2272886 2273656 2479512 2597584 3409329 3410484 3896376 4545772 4547312 4959024 6818658 6820968 7792752 9091544 13637316 13641936 18183088 27274632 54475469 54549264 108950938 163426407 217901876 326852814 381328283 435803752 599230159 653705628 762656566 871607504 1143984849 1198460318 1307411256 1525313132 1797690477 2287969698 2396920636 2614822512 3050626264 3595380954 4194611113 4575939396 4793841272 6101252528 7190761908 8389222226 9151878792 9587682544 12583833339 14381523816 16778444452 18303757584 25167666678 28763047632 33556888904 50335333356 67113777808 100670666712 201341333424