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42200120032 = 257188393393
BaseRepresentation
bin100111010011010100…
…101011101011100000
311000220222222012210121
4213103110223223200
51142411212320112
631215251010024
73022521046630
oct472324535340
9130828865717
1042200120032
111699595a864
128218899914
133c96b26735
14208487a6c0
15116ec29407
hex9d352bae0

42200120032 has 24 divisors (see below), whose sum is σ = 94950270576. Its totient is φ = 18085765632.

The previous prime is 42200120029. The next prime is 42200120047. The reversal of 42200120032 is 23002100224.

42200120032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 42200119988 and 42200120015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94196473 + ... + 94196920.

It is an arithmetic number, because the mean of its divisors is an integer number (3956261274).

Almost surely, 242200120032 is an apocalyptic number.

It is an amenable number.

42200120032 is an abundant number, since it is smaller than the sum of its proper divisors (52750150544).

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

42200120032 is a wasteful number, since it uses less digits than its factorization.

42200120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188393410 (or 188393402 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42200120032 its reverse (23002100224), we get a palindrome (65202220256).

The spelling of 42200120032 in words is "forty-two billion, two hundred million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 188393393 376786786 753573572 1318753751 1507147144 2637507502 3014294288 5275015004 6028588576 10550030008 21100060016 42200120032