Search a number
-
+
201241540240 = 245131867103643
BaseRepresentation
bin1011101101101011101…
…1100011011010010000
3201020102212110110112021
42323122323203122100
511244120313241430
6232241000341224
720352644603566
oct2733273433220
9636385413467
10201241540240
117838966a814
1233003474814
1315c915c9280
149a50d45a36
15537c46807a
hex2edaee3690

201241540240 has 80 divisors (see below), whose sum is σ = 504152607168. Its totient is φ = 74264053248.

The previous prime is 201241540219. The next prime is 201241540249. The reversal of 201241540240 is 42045142102.

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

It is not an unprimeable number, because it can be changed into a prime (201241540249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1889859 + ... + 1993501.

Almost surely, 2201241540240 is an apocalyptic number.

201241540240 is a gapful number since it is divisible by the number (20) 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 201241540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252076303584).

201241540240 is an abundant number, since it is smaller than the sum of its proper divisors (302911066928).

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

201241540240 is a wasteful number, since it uses less digits than its factorization.

201241540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105536 (or 105530 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 201241540240 its reverse (42045142102), we get a palindrome (243286682342).

The spelling of 201241540240 in words is "two hundred one billion, two hundred forty-one million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1867 3734 7468 9335 14936 18670 24271 29872 37340 48542 74680 97084 103643 121355 149360 194168 207286 242710 388336 414572 485420 518215 829144 970840 1036430 1347359 1658288 1941680 2072860 2694718 4145720 5389436 6736795 8291440 10778872 13473590 21557744 26947180 53894360 107788720 193501481 387002962 774005924 967507405 1548011848 1935014810 2515519253 3096023696 3870029620 5031038506 7740059240 10062077012 12577596265 15480118480 20124154024 25155192530 40248308048 50310385060 100620770120 201241540240