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1242243993600 = 2123852432
BaseRepresentation
bin10010000100111011100…
…000110001000000000000
311101202110010020100000000
4102010323200301000000
5130323103430243400
62350402400000000
7155514651503151
oct22047340610000
94352403210000
101242243993600
114399183927a5
12180909000000
13901b253311c
14441a6b45928
15224a86ce600
hex1213b831000

1242243993600 has 1053 divisors, whose sum is σ = 4730297609973. Its totient is φ = 323561226240.

The previous prime is 1242243993589. The next prime is 1242243993611. The reversal of 1242243993600 is 63993422421.

The square root of 1242243993600 is 1114560.

It is a perfect power (a square), and thus also a powerful number.

1242243993600 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 2 + 4 + 39 + 9 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1242243993589) and next prime (1242243993611).

It can be written as a sum of positive squares in only one way, i.e., 447207837696 + 795036155904 = 668736^2 + 891648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28889395179 + ... + 28889395221.

Almost surely, 21242243993600 is an apocalyptic number.

1242243993600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1242243993600 is the 1114560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242243993600

1242243993600 is an abundant number, since it is smaller than the sum of its proper divisors (3488053616373).

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

1242243993600 is an frugal number, since it uses more digits than its factorization.

1242243993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1242243993600 in words is "one trillion, two hundred forty-two billion, two hundred forty-three million, nine hundred ninety-three thousand, six hundred".