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1242990379008 = 2273373
BaseRepresentation
bin10010000101101000000…
…000000000000000000000
311101211101010200122022000
4102011220000000000000
5130331121014112013
62351004421344000
7155542313616000
oct22055000000000
94354333618260
101242990379008
1143a170734144
12180a96b68000
13902a10635b1
1444237d16000
15224edeb5973
hex12168000000

1242990379008 has 448 divisors, whose sum is σ = 4294967280000. Its totient is φ = 355140108288.

The previous prime is 1242990378983. The next prime is 1242990379021. The reversal of 1242990379008 is 8009730992421.

The cubic root of 1242990379008 is 10752.

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

1242990379008 is a `hidden beast` number, since 12 + 429 + 90 + 37 + 90 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177570054141 + ... + 177570054147.

Almost surely, 21242990379008 is an apocalyptic number.

1242990379008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242990379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147483640000).

1242990379008 is an abundant number, since it is smaller than the sum of its proper divisors (3051976900992).

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

1242990379008 is an frugal number, since it uses more digits than its factorization.

1242990379008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1242990379008 in words is "one trillion, two hundred forty-two billion, nine hundred ninety million, three hundred seventy-nine thousand, eight".