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242870428880 = 2457757391373
BaseRepresentation
bin1110001000110000110…
…1001010010011010000
3212012220001120010011122
43202030031022103100
512434344312211010
6303323444101412
723355361404062
oct3421415122320
9765801503148
10242870428880
1194001030a12
123b0a0994868
1319b96c8a761
14ba7d9a7732
1564b6e58855
hex388c34a4d0

242870428880 has 40 divisors (see below), whose sum is σ = 564747985512. Its totient is φ = 97135399424.

The previous prime is 242870428819. The next prime is 242870428883. The reversal of 242870428880 is 88824078242.

242870428880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 120708994624 + 122161434256 = 347432^2 + 349516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242870428883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424874 + ... + 816246.

Almost surely, 2242870428880 is an apocalyptic number.

242870428880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242870428880 is an abundant number, since it is smaller than the sum of its proper divisors (321877556632).

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

242870428880 is a wasteful number, since it uses less digits than its factorization.

242870428880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399143 (or 399137 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 53.

The spelling of 242870428880 in words is "two hundred forty-two billion, eight hundred seventy million, four hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7757 15514 31028 38785 62056 77570 124112 155140 310280 391373 620560 782746 1565492 1956865 3130984 3913730 6261968 7827460 15654920 31309840 3035880361 6071760722 12143521444 15179401805 24287042888 30358803610 48574085776 60717607220 121435214440 242870428880