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242553512124 = 223472116122769
BaseRepresentation
bin1110000111100101010…
…0001110000010111100
3212012001222020002010000
43201321110032002330
512433222144341444
6303232203314300
723344462556400
oct3417124160274
9765058202100
10242553512124
1193959152740
123b01281b990
1319b46418a51
14ba4d86d100
156499207469
hex387950e0bc

242553512124 has 360 divisors, whose sum is σ = 817888745520. Its totient is φ = 61965388800.

The previous prime is 242553512107. The next prime is 242553512141. The reversal of 242553512124 is 421215355242.

242553512124 is a `hidden beast` number, since 2 + 42 + 55 + 351 + 212 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (242553512107) and next prime (242553512141).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10641412 + ... + 10664180.

It is an arithmetic number, because the mean of its divisors is an integer number (2271913182).

Almost surely, 2242553512124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242553512124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408944372760).

242553512124 is an abundant number, since it is smaller than the sum of its proper divisors (575335233396).

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

242553512124 is a wasteful number, since it uses less digits than its factorization.

242553512124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22871 (or 22853 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 242553512124 its reverse (421215355242), we get a palindrome (663768867366).

The spelling of 242553512124 in words is "two hundred forty-two billion, five hundred fifty-three million, five hundred twelve thousand, one hundred twenty-four".