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1428601135104 = 21333111331247
BaseRepresentation
bin10100110010011111010…
…000110110000000000000
312001120110200001222222000
4110302133100312000000
5141401233342310404
63012142412144000
7205133032201413
oct24623720660000
95046420058860
101428601135104
11500959108430
121b0a57768000
13a494122a060
144d204d59b7a
152726406a339
hex14c9f436000

1428601135104 has 1344 divisors, whose sum is σ = 5247508976640. Its totient is φ = 378490060800.

The previous prime is 1428601135063. The next prime is 1428601135123. The reversal of 1428601135104 is 4015311068241.

1428601135104 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 601 + 1 + 35 + 10 + 4 = 666.

It is a super-2 number, since 2×14286011351042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30395768809 + ... + 30395768855.

It is an arithmetic number, because the mean of its divisors is an integer number (3904396560).

Almost surely, 21428601135104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428601135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623754488320).

1428601135104 is an abundant number, since it is smaller than the sum of its proper divisors (3818907841536).

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

1428601135104 is a wasteful number, since it uses less digits than its factorization.

1428601135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1428601135104 in words is "one trillion, four hundred twenty-eight billion, six hundred one million, one hundred thirty-five thousand, one hundred four".