Search a number
-
+
4212413440 = 21053472371
BaseRepresentation
bin1111101100010100…
…0101010000000000
3101212120101202220121
43323011011100000
532111334212230
61533554350024
7206246631514
oct37305052000
911776352817
104212413440
111871885624
1299688b314
13521933c41
142bd648144
15199c3277a
hexfb145400

4212413440 has 88 divisors (see below), whose sum is σ = 10138250592. Its totient is φ = 1679400960.

The previous prime is 4212413417. The next prime is 4212413467. The reversal of 4212413440 is 443142124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1775455 + ... + 1777825.

Almost surely, 24212413440 is an apocalyptic number.

4212413440 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 4212413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069125296).

4212413440 is an abundant number, since it is smaller than the sum of its proper divisors (5925837152).

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

4212413440 is a wasteful number, since it uses less digits than its factorization.

4212413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4212413440 is about 64903.1080919859. The cubic root of 4212413440 is about 1615.0166222445.

Adding to 4212413440 its reverse (443142124), we get a palindrome (4655555564).

The spelling of 4212413440 in words is "four billion, two hundred twelve million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 347 512 640 694 1024 1280 1388 1735 2371 2560 2776 3470 4742 5120 5552 6940 9484 11104 11855 13880 18968 22208 23710 27760 37936 44416 47420 55520 75872 88832 94840 111040 151744 177664 189680 222080 303488 355328 379360 444160 606976 758720 822737 888320 1213952 1517440 1645474 1776640 2427904 3034880 3290948 4113685 6069760 6581896 8227370 12139520 13163792 16454740 26327584 32909480 52655168 65818960 105310336 131637920 210620672 263275840 421241344 526551680 842482688 1053103360 2106206720 4212413440