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242322300321144 = 23316216228724561
BaseRepresentation
bin110111000110010000001110…
…101000011011110101111000
31011202222210012202022122020020
4313012100032220123311320
5223230202032340234034
62215213154501130440
7102020131333405431
oct6706201650336570
91152883182278206
10242322300321144
117023634622487a
12232178280b9a20
13a529b8304c5b4
1443ba6676ca488
151d0355c0ea249
hexdc640ea1bd78

242322300321144 has 32 divisors (see below), whose sum is σ = 606179474373840. Its totient is φ = 80724270297600.

The previous prime is 242322300321119. The next prime is 242322300321181. The reversal of 242322300321144 is 441123003223242.

It is a happy number.

242322300321144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3114323377 + ... + 3114401184.

Almost surely, 2242322300321144 is an apocalyptic number.

242322300321144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242322300321144 is an abundant number, since it is smaller than the sum of its proper divisors (363857174052696).

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

242322300321144 is a wasteful number, since it uses less digits than its factorization.

242322300321144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228726191 (or 6228726187 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 242322300321144 its reverse (441123003223242), we get a palindrome (683445303544386).

The spelling of 242322300321144 in words is "two hundred forty-two trillion, three hundred twenty-two billion, three hundred million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1621 3242 4863 6484 9726 12968 19452 38904 6228724561 12457449122 18686173683 24914898244 37372347366 49829796488 74744694732 149489389464 10096762513381 20193525026762 30290287540143 40387050053524 60580575080286 80774100107048 121161150160572 242322300321144