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4212394740 = 2233547269617
BaseRepresentation
bin1111101100010100…
…0000101011110100
3101212120100211021000
43323011000223310
532111333112430
61533554123300
7206246523141
oct37305005364
911776324230
104212394740
111871872574
12996880530
13521928588
142bd6413c8
15199c2be60
hexfb140af4

4212394740 has 192 divisors, whose sum is σ = 13455590400. Its totient is φ = 1093542912.

The previous prime is 4212394733. The next prime is 4212394741. The reversal of 4212394740 is 474932124.

4212394740 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 4212394695 and 4212394704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212394741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6826912 + ... + 6827528.

It is an arithmetic number, because the mean of its divisors is an integer number (70081200).

Almost surely, 24212394740 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 4212394740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727795200).

4212394740 is an abundant number, since it is smaller than the sum of its proper divisors (9243195660).

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

4212394740 is a wasteful number, since it uses less digits than its factorization.

4212394740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4212394740 is about 64902.9640309285. The cubic root of 4212394740 is about 1615.0142324146.

The spelling of 4212394740 in words is "four billion, two hundred twelve million, three hundred ninety-four thousand, seven hundred forty".