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242150525280 = 25325168160087
BaseRepresentation
bin1110000110000101001…
…0111100100101100000
3212011000212221020002100
43201201102330211200
512431411013302110
6303124210050400
723331500334546
oct3414122744540
9764025836070
10242150525280
1193771727764
123ab1b879a00
1319ab0a9cab1
14ba1212bd96
156473b53bc0
hex38614bc960

242150525280 has 72 divisors (see below), whose sum is σ = 826338672432. Its totient is φ = 64573473024.

The previous prime is 242150525251. The next prime is 242150525297. The reversal of 242150525280 is 82525051242.

242150525280 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 50 + 525 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84078604 + ... + 84081483.

It is an arithmetic number, because the mean of its divisors is an integer number (11476926006).

Almost surely, 2242150525280 is an apocalyptic number.

242150525280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242150525280 is an abundant number, since it is smaller than the sum of its proper divisors (584188147152).

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

242150525280 is a wasteful number, since it uses less digits than its factorization.

242150525280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168160108 (or 168160097 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 242150525280 in words is "two hundred forty-two billion, one hundred fifty million, five hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 168160087 336320174 504480261 672640348 840800435 1008960522 1345280696 1513440783 1681600870 2017921044 2522401305 2690561392 3026881566 3363201740 4035842088 5044802610 5381122784 6053763132 6726403480 7567203915 8071684176 10089605220 12107526264 13452806960 15134407830 16143368352 20179210440 24215052528 26905613920 30268815660 40358420880 48430105056 60537631320 80716841760 121075262640 242150525280