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240532144240 = 24573187721943
BaseRepresentation
bin1110000000000011010…
…1010100000001110000
3211222212002122221122211
43200000311110001300
512420102212103430
6302255434341504
723243416330513
oct3400065240160
9758762587584
10240532144240
1193011141073
123a74988a894
13198b36cc78b
14b8db210d7a
1563cba2372a
hex3800d54070

240532144240 has 80 divisors (see below), whose sum is σ = 567225891648. Its totient is φ = 94839994368.

The previous prime is 240532144213. The next prime is 240532144249. The reversal of 240532144240 is 42441235042.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240532144249) 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, 10950709 + ... + 10972651.

Almost surely, 2240532144240 is an apocalyptic number.

240532144240 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 240532144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283612945824).

240532144240 is an abundant number, since it is smaller than the sum of its proper divisors (326693747408).

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

240532144240 is a wasteful number, since it uses less digits than its factorization.

240532144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23906 (or 23900 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 240532144240 its reverse (42441235042), we get a palindrome (282973379282).

The spelling of 240532144240 in words is "two hundred forty billion, five hundred thirty-two million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 1877 2920 3754 5840 7508 9385 15016 18770 21943 30032 37540 43886 75080 87772 109715 137021 150160 175544 219430 274042 351088 438860 548084 685105 877720 1096168 1370210 1601839 1755440 2192336 2740420 3203678 5480840 6407356 8009195 10961680 12814712 16018390 25629424 32036780 41187011 64073560 82374022 128147120 164748044 205935055 329496088 411870110 658992176 823740220 1647480440 3006651803 3294960880 6013303606 12026607212 15033259015 24053214424 30066518030 48106428848 60133036060 120266072120 240532144240