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1421129713536 = 273213373254407
BaseRepresentation
bin10100101011100001111…
…011101000011110000000
312000212011222021110100200
4110223201323220132000
5141240433201313121
63004505153445200
7204446630153301
oct24534173503600
95025158243320
101421129713536
114a8774746865
121ab511570800
13a4020366c50
144cad69667a8
1526e78180a26
hex14ae1ee8780

1421129713536 has 192 divisors, whose sum is σ = 4415846154720. Its totient is φ = 436096659456.

The previous prime is 1421129713519. The next prime is 1421129713537. The reversal of 1421129713536 is 6353179211241.

1421129713536 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 1 + 297 + 1 + 353 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1421129713491 and 1421129713500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421129713537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5458845 + ... + 5713251.

Almost surely, 21421129713536 is an apocalyptic number.

1421129713536 is a gapful number since it is divisible by the number (16) 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 1421129713536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207923077360).

1421129713536 is an abundant number, since it is smaller than the sum of its proper divisors (2994716441184).

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

1421129713536 is a wasteful number, since it uses less digits than its factorization.

1421129713536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254813 (or 254798 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 1421129713536 in words is "one trillion, four hundred twenty-one billion, one hundred twenty-nine million, seven hundred thirteen thousand, five hundred thirty-six".