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420012444102432 = 25329173149971879
BaseRepresentation
bin101111101111111111100010…
…0100010000010111100100000
32001002010210112101111112011020
41133133333010202002330200
5420022440441142234212
64045143015245245440
7154316616624045246
oct13737770442027440
92032123471445136
10420012444102432
11111913305aa3005
123b135285863880
13150490079a97bc
1475a09d4488796
15338574a70ad8c
hex17dffc4882f20

420012444102432 has 48 divisors (see below), whose sum is σ = 1102570466034240. Its totient is φ = 139999348000512.

The previous prime is 420012444102421. The next prime is 420012444102451. The reversal of 420012444102432 is 234201444210024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 420012444102393 and 420012444102402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72185332 + ... + 77786547.

It is an arithmetic number, because the mean of its divisors is an integer number (22970218042380).

Almost surely, 2420012444102432 is an apocalyptic number.

It is an amenable number.

420012444102432 is an abundant number, since it is smaller than the sum of its proper divisors (682558021931808).

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

420012444102432 is a wasteful number, since it uses less digits than its factorization.

420012444102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150001065 (or 150001057 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 420012444102432 its reverse (234201444210024), we get a palindrome (654213888312456).

The spelling of 420012444102432 in words is "four hundred twenty trillion, twelve billion, four hundred forty-four million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 29173 58346 87519 116692 175038 233384 350076 466768 700152 933536 1400304 2800608 149971879 299943758 449915637 599887516 899831274 1199775032 1799662548 2399550064 3599325096 4799100128 7198650192 14397300384 4375129626067 8750259252134 13125388878201 17500518504268 26250777756402 35001037008536 52501555512804 70002074017072 105003111025608 140004148034144 210006222051216 420012444102432