Search a number
-
+
21032441040 = 24351331217457
BaseRepresentation
bin10011100101101000…
…011001010011010000
32000021210020201002210
4103211220121103100
5321033301103130
613355010112120
71343126541042
oct234550312320
960253221083
1021032441040
118a132a0286
1240ab87b640
131ca2562bb0
141037479a92
158317095b0
hex4e5a194d0

21032441040 has 160 divisors (see below), whose sum is σ = 72481360896. Its totient is φ = 5010186240.

The previous prime is 21032441029. The next prime is 21032441069. The reversal of 21032441040 is 4014423012.

It is a super-2 number, since 2×210324410402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21032440998 and 21032441016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12009 + ... + 205448.

Almost surely, 221032441040 is an apocalyptic number.

21032441040 is a gapful number since it is divisible by the number (20) 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 21032441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36240680448).

21032441040 is an abundant number, since it is smaller than the sum of its proper divisors (51448919856).

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

21032441040 is a wasteful number, since it uses less digits than its factorization.

21032441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217517 (or 217511 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21032441040 its reverse (4014423012), we get a palindrome (25046864052).

The spelling of 21032441040 in words is "twenty-one billion, thirty-two million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 372 390 403 465 496 520 620 624 744 780 806 930 1040 1209 1240 1488 1560 1612 1860 2015 2418 2480 3120 3224 3720 4030 4836 6045 6448 7440 8060 9672 12090 16120 19344 24180 32240 48360 96720 217457 434914 652371 869828 1087285 1304742 1739656 2174570 2609484 2826941 3261855 3479312 4349140 5218968 5653882 6523710 6741167 8480823 8698280 10437936 11307764 13047420 13482334 14134705 16961646 17396560 20223501 22615528 26094840 26964668 28269410 33705835 33923292 40447002 42404115 45231056 52189680 53929336 56538820 67411670 67846584 80894004 84808230 87635171 101117505 107858672 113077640 134823340 135693168 161788008 169616460 175270342 202235010 226155280 262905513 269646680 323576016 339232920 350540684 404470020 438175855 525811026 539293360 678465840 701081368 808940040 876351710 1051622052 1314527565 1402162736 1617880080 1752703420 2103244104 2629055130 3505406840 4206488208 5258110260 7010813680 10516220520 21032441040