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4042411212 = 2237239717317
BaseRepresentation
bin1111000011110010…
…0100110011001100
3101102201111202200210
43300330210303030
531234324124322
61505042522420
7202113633300
oct36074446314
911381452623
104042411212
111794921414
12949966410
134c56508c8
142a4c33d00
15189d5170c
hexf0f24ccc

4042411212 has 72 divisors (see below), whose sum is σ = 11000532144. Its totient is φ = 1151998848.

The previous prime is 4042411211. The next prime is 4042411229. The reversal of 4042411212 is 2121142404.

4042411212 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 (21).

It is not an unprimeable number, because it can be changed into a prime (4042411211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224778 + ... + 242094.

Almost surely, 24042411212 is an apocalyptic number.

4042411212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042411212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500266072).

4042411212 is an abundant number, since it is smaller than the sum of its proper divisors (6958120932).

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

4042411212 is a wasteful number, since it uses less digits than its factorization.

4042411212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17735 (or 17726 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4042411212 is about 63579.9592009935. The cubic root of 4042411212 is about 1592.9916398559.

Adding to 4042411212 its reverse (2121142404), we get a palindrome (6163553616).

The spelling of 4042411212 in words is "four billion, forty-two million, four hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 397 588 794 1191 1588 2382 2779 4764 5558 8337 11116 16674 17317 19453 33348 34634 38906 51951 58359 69268 77812 103902 116718 121219 207804 233436 242438 363657 484876 727314 848533 1454628 1697066 2545599 3394132 5091198 6874849 10182396 13749698 20624547 27499396 41249094 48123943 82498188 96247886 144371829 192495772 288743658 336867601 577487316 673735202 1010602803 1347470404 2021205606 4042411212