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124340000240 = 24547127260387
BaseRepresentation
bin111001111001100111…
…1011101010111110000
3102212221110122110121002
41303303033131113300
54014122020001430
6133042045421132
711661155364221
oct1636317352760
9385843573532
10124340000240
1148806763585
122012126a7a8
13b9573a0551
1460378c3248
15337aedb845
hex1cf33dd5f0

124340000240 has 80 divisors (see below), whose sum is σ = 297567240192. Its totient is φ = 48294312192.

The previous prime is 124340000227. The next prime is 124340000327. The reversal of 124340000240 is 42000043421.

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 (20).

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 15 ways as a sum of consecutive naturals, for example, 347327 + ... + 607713.

Almost surely, 2124340000240 is an apocalyptic number.

124340000240 is a gapful number since it is divisible by the number (10) 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 124340000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148783620096).

124340000240 is an abundant number, since it is smaller than the sum of its proper divisors (173227239952).

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

124340000240 is a wasteful number, since it uses less digits than its factorization.

124340000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260574 (or 260568 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 124340000240 its reverse (42000043421), we get a palindrome (166340043661).

The spelling of 124340000240 in words is "one hundred twenty-four billion, three hundred forty million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 127 188 235 254 376 470 508 635 752 940 1016 1270 1880 2032 2540 3760 5080 5969 10160 11938 23876 29845 47752 59690 95504 119380 238760 260387 477520 520774 1041548 1301935 2083096 2603870 4166192 5207740 10415480 12238189 20830960 24476378 33069149 48952756 61190945 66138298 97905512 122381890 132276596 165345745 195811024 244763780 264553192 330691490 489527560 529106384 661382980 979055120 1322765960 1554250003 2645531920 3108500006 6217000012 7771250015 12434000024 15542500030 24868000048 31085000060 62170000120 124340000240