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1420048689408 = 2833416437793
BaseRepresentation
bin10100101010100001011…
…111110110100100000000
312000202101122010202001000
4110222201133312210000
5141231224431030113
63004210015412000
7204411062462406
oct24524137664400
95022348122030
101420048689408
114a826a512398
121ab26b524000
13a3baa3cb4bb
144ca33167476
1526e132e7373
hex14aa17f6900

1420048689408 has 288 divisors, whose sum is σ = 4308999569280. Its totient is φ = 461027082240.

The previous prime is 1420048689379. The next prime is 1420048689421. The reversal of 1420048689408 is 8049868400241.

It is a happy number.

1420048689408 is a `hidden beast` number, since 1 + 42 + 0 + 0 + 486 + 89 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 182217160 + ... + 182224952.

It is an arithmetic number, because the mean of its divisors is an integer number (14961804060).

Almost surely, 21420048689408 is an apocalyptic number.

1420048689408 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 1420048689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154499784640).

1420048689408 is an abundant number, since it is smaller than the sum of its proper divisors (2888950879872).

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

1420048689408 is an equidigital number, since it uses as much as digits as its factorization.

1420048689408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8502 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1420048689408 in words is "one trillion, four hundred twenty billion, forty-eight million, six hundred eighty-nine thousand, four hundred eight".