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242544132135450 = 232522467218478703
BaseRepresentation
bin110111001001011110110100…
…110101101001101000011010
31011210202222210121000101210200
4313021132310311221220122
5223242320340311313300
62215503122554523030
7102042143461620015
oct6711366465515032
91153688717011720
10242544132135450
1170311430529212
1223252817136476
13a544a763c5192
1443c72ad08c37c
151d091e202a200
hexdc97b4d69a1a

242544132135450 has 72 divisors (see below), whose sum is σ = 651899378739648. Its totient is φ = 64652217495840.

The previous prime is 242544132135413. The next prime is 242544132135467. The reversal of 242544132135450 is 54531231445242.

242544132135450 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 441 + 32 + 135 + 45 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 242544132135396 and 242544132135405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108129202 + ... + 110349501.

Almost surely, 2242544132135450 is an apocalyptic number.

242544132135450 is an abundant number, since it is smaller than the sum of its proper divisors (409355246604198).

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

242544132135450 is a wasteful number, since it uses less digits than its factorization.

242544132135450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218481188 (or 218481180 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 242544132135450 in words is "two hundred forty-two trillion, five hundred forty-four billion, one hundred thirty-two million, one hundred thirty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 2467 4934 7401 12335 14802 22203 24670 37005 44406 61675 74010 111015 123350 185025 222030 370050 555075 1110150 218478703 436957406 655436109 1092393515 1310872218 1966308327 2184787030 3277180545 3932616654 5461967575 6554361090 9831541635 10923935150 16385902725 19663083270 32771805450 49157708175 98315416350 538986960301 1077973920602 1616960880903 2694934801505 3233921761806 4850882642709 5389869603010 8084804404515 9701765285418 13474674007525 16169608809030 24254413213545 26949348015050 40424022022575 48508826427090 80848044045150 121272066067725 242544132135450