Search a number
-
+
201341131440 = 24354192002199
BaseRepresentation
bin1011101110000011011…
…1011101101010110000
3201020200210212012222020
42323200313131222300
511244321312201230
6232254515111440
720355264244131
oct2734067355260
9636623765866
10201341131440
117842a902099
12330308a2580
1315ca9128987
149a6026bc88
15538608b810
hex2ee0dddab0

201341131440 has 80 divisors (see below), whose sum is σ = 625647456000. Its totient is φ = 53562800896.

The previous prime is 201341131427. The next prime is 201341131457. The reversal of 201341131440 is 44131143102.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201341131440.

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, 900540 + ... + 1101659.

It is an arithmetic number, because the mean of its divisors is an integer number (7820593200).

Almost surely, 2201341131440 is an apocalyptic number.

201341131440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201341131440 is an abundant number, since it is smaller than the sum of its proper divisors (424306324560).

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

201341131440 is a wasteful number, since it uses less digits than its factorization.

201341131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002634 (or 2002628 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201341131440 its reverse (44131143102), we get a palindrome (245472274542).

The spelling of 201341131440 in words is "two hundred one billion, three hundred forty-one million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 419 838 1257 1676 2095 2514 3352 4190 5028 6285 6704 8380 10056 12570 16760 20112 25140 33520 50280 100560 2002199 4004398 6006597 8008796 10010995 12013194 16017592 20021990 24026388 30032985 32035184 40043980 48052776 60065970 80087960 96105552 120131940 160175920 240263880 480527760 838921381 1677842762 2516764143 3355685524 4194606905 5033528286 6711371048 8389213810 10067056572 12583820715 13422742096 16778427620 20134113144 25167641430 33556855240 40268226288 50335282860 67113710480 100670565720 201341131440