Search a number
-
+
240152305140 = 223351140429681
BaseRepresentation
bin1101111110101000110…
…0010101110111110100
3211221212121221010101000
43133222030111313310
512413312442231030
6302154025203300
723231124625056
oct3375214256764
9757777833330
10240152305140
1192936796360
123a662630530
1319852ac9907
14b8a29b78d6
1563a84e3860
hex37ea315df4

240152305140 has 96 divisors (see below), whose sum is σ = 815062389120. Its totient is φ = 58218739200.

The previous prime is 240152305139. The next prime is 240152305189. The reversal of 240152305140 is 41503251042.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20208901 + ... + 20220780.

It is an arithmetic number, because the mean of its divisors is an integer number (8490233220).

Almost surely, 2240152305140 is an apocalyptic number.

240152305140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240152305140 is an abundant number, since it is smaller than the sum of its proper divisors (574910083980).

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

240152305140 is a wasteful number, since it uses less digits than its factorization.

240152305140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40429710 (or 40429702 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 240152305140 its reverse (41503251042), we get a palindrome (281655556182).

The spelling of 240152305140 in words is "two hundred forty billion, one hundred fifty-two million, three hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 40429681 80859362 121289043 161718724 202148405 242578086 363867129 404296810 444726491 485156172 606445215 727734258 808593620 889452982 1091601387 1212890430 1334179473 1455468516 1778905964 1819335645 2183202774 2223632455 2425780860 2668358946 3638671290 4002538419 4366405548 4447264910 5336717892 5458006935 6670897365 7277342580 8005076838 8894529820 10916013870 12007615257 13341794730 16010153676 20012692095 21832027740 24015230514 26683589460 40025384190 48030461028 60038076285 80050768380 120076152570 240152305140