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242842944780 = 223351931763513
BaseRepresentation
bin1110001000101010010…
…0010100010100001100
3212012211010211210002000
43202022210110110030
512434320243213110
6303321023032300
723354605654362
oct3421244242414
9765733753060
10242842944780
1193a97569787
123b09373b690
1319b91386987
14ba7a091632
1564b482a1c0
hex388a91450c

242842944780 has 192 divisors, whose sum is σ = 820930252800. Its totient is φ = 59370693120.

The previous prime is 242842944767. The next prime is 242842944781. The reversal of 242842944780 is 87449248242.

242842944780 is a `hidden beast` number, since 2 + 4 + 2 + 84 + 2 + 94 + 478 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (242842944781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63697 + ... + 699816.

It is an arithmetic number, because the mean of its divisors is an integer number (4275678400).

Almost surely, 2242842944780 is an apocalyptic number.

242842944780 is a gapful number since it is divisible by the number (20) 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 242842944780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410465126400).

242842944780 is an abundant number, since it is smaller than the sum of its proper divisors (578087308020).

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

242842944780 is a wasteful number, since it uses less digits than its factorization.

242842944780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763581 (or 763573 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 242842944780 in words is "two hundred forty-two billion, eight hundred forty-two million, nine hundred forty-four thousand, seven hundred eighty".