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4212311040 = 21034571451
BaseRepresentation
bin1111101100010010…
…1100010000000000
3101212120012120110000
43323010230100000
532111322423130
61533552240000
7206246024130
oct37304542000
911776176400
104212311040
1118718156a3
12996840000
135218c9452
142bd61cac0
15199c12260
hexfb12c400

4212311040 has 440 divisors, whose sum is σ = 17262793152. Its totient is φ = 962150400.

The previous prime is 4212311027. The next prime is 4212311053. The reversal of 4212311040 is 401132124.

4212311040 is a `hidden beast` number, since 421 + 231 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4212311027) and next prime (4212311053).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902315 + ... + 2903765.

Almost surely, 24212311040 is an apocalyptic number.

4212311040 is a gapful number since it is divisible by the number (40) 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 4212311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631396576).

4212311040 is an abundant number, since it is smaller than the sum of its proper divisors (13050482112).

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

4212311040 is a wasteful number, since it uses less digits than its factorization.

4212311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4212311040 is about 64902.3192189617. The cubic root of 4212311040 is about 1615.0035356024.

Adding to 4212311040 its reverse (401132124), we get a palindrome (4613443164).

The spelling of 4212311040 in words is "four billion, two hundred twelve million, three hundred eleven thousand, forty".