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242541551145150 = 232522503215334089
BaseRepresentation
bin110111001001011100011010…
…111111111101000010111110
31011210202202010201102111201100
4313021130122333331002332
5223242300044043121100
62215502014515153530
7102042022511561655
oct6711343277750276
91153682121374640
10242541551145150
1170310326637a84
12232522168a58a6
13a54475477999a
1443c710639819c
151d090e0652400
hexdc971affd0be

242541551145150 has 72 divisors (see below), whose sum is σ = 651888642684240. Its totient is φ = 64651906581120.

The previous prime is 242541551145059. The next prime is 242541551145151. The reversal of 242541551145150 is 51541155145242.

242541551145150 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 4 + 1 + 551 + 1 + 45 + 1 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 242541551145096 and 242541551145105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242541551145151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106540695 + ... + 108793394.

It is an arithmetic number, because the mean of its divisors is an integer number (9054008926170).

Almost surely, 2242541551145150 is an apocalyptic number.

242541551145150 is an abundant number, since it is smaller than the sum of its proper divisors (409347091539090).

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

242541551145150 is a wasteful number, since it uses less digits than its factorization.

242541551145150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215336610 (or 215336602 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 45.

The spelling of 242541551145150 in words is "two hundred forty-two trillion, five hundred forty-one billion, five hundred fifty-one million, one hundred forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 2503 5006 7509 12515 15018 22527 25030 37545 45054 62575 75090 112635 125150 187725 225270 375450 563175 1126350 215334089 430668178 646002267 1076670445 1292004534 1938006801 2153340890 3230011335 3876013602 5383352225 6460022670 9690034005 10766704450 16150056675 19380068010 32300113350 48450170025 96900340050 538981224767 1077962449534 1616943674301 2694906123835 3233887348602 4850831022903 5389812247670 8084718371505 9701662045806 13474530619175 16169436743010 24254155114515 26949061238350 40423591857525 48508310229030 80847183715050 121270775572575 242541551145150