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242535354112 = 2817162734253
BaseRepresentation
bin1110000111100000111…
…0111100111100000000
3212012000201001120000001
43201320032330330000
512433203022312422
6303230314205344
723344152331522
oct3417016747400
9765021046001
10242535354112
1193949980317
123b008723854
1319b4272bb6c
14ba4b2a3a12
15649781c227
hex38783bcf00

242535354112 has 72 divisors (see below), whose sum is σ = 512931179376. Its totient is φ = 114060804096.

The previous prime is 242535354109. The next prime is 242535354119. The reversal of 242535354112 is 211453535242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242535354119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7063578 + ... + 7097830.

It is an arithmetic number, because the mean of its divisors is an integer number (7124044158).

Almost surely, 2242535354112 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 242535354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256465589688).

242535354112 is an abundant number, since it is smaller than the sum of its proper divisors (270395825264).

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

242535354112 is a wasteful number, since it uses less digits than its factorization.

242535354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35913 (or 35899 counting only the distinct ones).

The product of its digits is 144000, while the sum is 37.

Adding to 242535354112 its reverse (211453535242), we get a palindrome (453988889354).

The spelling of 242535354112 in words is "two hundred forty-two billion, five hundred thirty-five million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 1627 2176 3254 4352 6508 13016 26032 27659 34253 52064 55318 68506 104128 110636 137012 208256 221272 274024 416512 442544 548048 582301 885088 1096096 1164602 1770176 2192192 2329204 3540352 4384384 4658408 7080704 8768768 9316816 18633632 37267264 55729631 74534528 111459262 149069056 222918524 445837048 891674096 947403727 1783348192 1894807454 3566696384 3789614908 7133392768 7579229816 14266785536 15158459632 30316919264 60633838528 121267677056 242535354112