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242232301024 = 25715121133941
BaseRepresentation
bin1110000110011000101…
…0111001010111100000
3212011020120210212022121
43201212022321113200
512432042432113044
6303140250514024
723333512405030
oct3414612712740
9764216725277
10242232301024
119380390101a
123ab43135914
1319ac4a024cc
14ba1cd378c0
15647ae08984
hex38662b95e0

242232301024 has 96 divisors (see below), whose sum is σ = 551248492032. Its totient is φ = 102634560000.

The previous prime is 242232301021. The next prime is 242232301037. The reversal of 242232301024 is 420103232242.

It is a self number, because there is not a number n which added to its sum of digits gives 242232301024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242232301021) 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, 7119894 + ... + 7153834.

It is an arithmetic number, because the mean of its divisors is an integer number (5742171792).

Almost surely, 2242232301024 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 242232301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275624246016).

242232301024 is an abundant number, since it is smaller than the sum of its proper divisors (309016191008).

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

242232301024 is a wasteful number, since it uses less digits than its factorization.

242232301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34320 (or 34312 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 242232301024 its reverse (420103232242), we get a palindrome (662335533266).

The spelling of 242232301024 in words is "two hundred forty-two billion, two hundred thirty-two million, three hundred one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 211 224 302 422 604 844 1057 1208 1477 1688 2114 2416 2954 3376 4228 4832 5908 6752 8456 11816 16912 23632 31861 33824 33941 47264 63722 67882 127444 135764 223027 237587 254888 271528 446054 475174 509776 543056 892108 950348 1019552 1086112 1784216 1900696 3568432 3801392 5125091 7136864 7161551 7602784 10250182 14323102 20500364 28646204 35875637 41000728 50130857 57292408 71751274 82001456 100261714 114584816 143502548 164002912 200523428 229169632 287005096 401046856 574010192 802093712 1081394201 1148020384 1604187424 2162788402 4325576804 7569759407 8651153608 15139518814 17302307216 30279037628 34604614432 60558075256 121116150512 242232301024