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4212421040 = 245432834327
BaseRepresentation
bin1111101100010100…
…0111000110110000
3101212120102011100002
43323011013012300
532111334433130
61533554445132
7206246662622
oct37305070660
911776364302
104212421040
111871890303
129968937a8
13521937539
142bd64ac12
15199c34b45
hexfb1471b0

4212421040 has 80 divisors (see below), whose sum is σ = 10059379968. Its totient is φ = 1639588608.

The previous prime is 4212421021. The next prime is 4212421051. The reversal of 4212421040 is 401242124.

4212421040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 971357 + ... + 975683.

Almost surely, 24212421040 is an apocalyptic number.

4212421040 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 4212421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029689984).

4212421040 is an abundant number, since it is smaller than the sum of its proper divisors (5846958928).

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

4212421040 is a wasteful number, since it uses less digits than its factorization.

4212421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4212421040 is about 64903.1666407734. The cubic root of 4212421040 is about 1615.0175935103.

Adding to 4212421040 its reverse (401242124), we get a palindrome (4613663164).

The spelling of 4212421040 in words is "four billion, two hundred twelve million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 283 344 430 566 688 860 1132 1415 1720 2264 2830 3440 4327 4528 5660 8654 11320 12169 17308 21635 22640 24338 34616 43270 48676 60845 69232 86540 97352 121690 173080 186061 194704 243380 346160 372122 486760 744244 930305 973520 1224541 1488488 1860610 2449082 2976976 3721220 4898164 6122705 7442440 9796328 12245410 14884880 19592656 24490820 48981640 52655263 97963280 105310526 210621052 263276315 421242104 526552630 842484208 1053105260 2106210520 4212421040