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9401212112 = 2429103229859
BaseRepresentation
bin10001100000101101…
…10001110011010000
3220021012001001120012
420300112301303100
5123223202241422
64152512334052
7451653661445
oct106026616320
926235031505
109401212112
113a94814896
1219a4544328
13b6a927506
146528139cc
153a052e4e2
hex2305b1cd0

9401212112 has 80 divisors (see below), whose sum is σ = 19131216000. Its totient is φ = 4469617152.

The previous prime is 9401212087. The next prime is 9401212129. The reversal of 9401212112 is 2112121049.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10943939 + ... + 10944797.

It is an arithmetic number, because the mean of its divisors is an integer number (239140200).

Almost surely, 29401212112 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 9401212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565608000).

9401212112 is an abundant number, since it is smaller than the sum of its proper divisors (9730003888).

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

9401212112 is a wasteful number, since it uses less digits than its factorization.

9401212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 9401212112 is about 96959.8479371745. The cubic root of 9401212112 is about 2110.5450036047.

The spelling of 9401212112 in words is "nine billion, four hundred one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 103 116 206 229 232 412 458 464 824 859 916 1648 1718 1832 2987 3436 3664 5974 6641 6872 11948 13282 13744 23587 23896 24911 26564 47174 47792 49822 53128 88477 94348 99644 106256 176954 188696 196711 199288 353908 377392 393422 398576 684023 707816 786844 1368046 1415632 1573688 2565833 2736092 3147376 5131666 5472184 5704619 10263332 10944368 11409238 20261233 20526664 22818476 40522466 41053328 45636952 81044932 91273904 162089864 324179728 587575757 1175151514 2350303028 4700606056 9401212112