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101463451344 = 2432704607301
BaseRepresentation
bin101111001111110110…
…0010110011011010000
3100200220011101101002100
41132133230112123100
53130244120420334
6114340041520400
710221234051333
oct1363754263320
9320804341070
10101463451344
113a037522822
12177b7aa3100
13974ca76098
144ca756c61a
15298c964c99
hex179fb166d0

101463451344 has 30 divisors (see below), whose sum is σ = 283956742706. Its totient is φ = 33821150400.

The previous prime is 101463451333. The next prime is 101463451367. The reversal of 101463451344 is 443154364101.

101463451344 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 634 + 5 + 13 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77332935744 + 24130515600 = 278088^2 + 155340^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101463451299 and 101463451308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 352303507 + ... + 352303794.

Almost surely, 2101463451344 is an apocalyptic number.

It is an amenable number.

101463451344 is an abundant number, since it is smaller than the sum of its proper divisors (182493291362).

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

101463451344 is a wasteful number, since it uses less digits than its factorization.

101463451344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704607315 (or 704607306 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 101463451344 in words is "one hundred one billion, four hundred sixty-three million, four hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 704607301 1409214602 2113821903 2818429204 4227643806 5636858408 6341465709 8455287612 11273716816 12682931418 16910575224 25365862836 33821150448 50731725672 101463451344