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430044321140 = 225723457292241
BaseRepresentation
bin1100100001000001010…
…00111001010101110100
31112010000112021000112122
412100200220321111310
524021212321234030
6525320514135112
743032620263010
oct6204050712564
91463015230478
10430044321140
11156420898575
126b418b81498
1331725c50a65
1416b58467540
15b2be3798e5
hex6420a39574

430044321140 has 96 divisors (see below), whose sum is σ = 1079340885504. Its totient is φ = 140724080640.

The previous prime is 430044321137. The next prime is 430044321191. The reversal of 430044321140 is 41123440034.

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, 1325420 + ... + 1617660.

It is an arithmetic number, because the mean of its divisors is an integer number (11243134224).

Almost surely, 2430044321140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430044321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539670442752).

430044321140 is an abundant number, since it is smaller than the sum of its proper divisors (649296564364).

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

430044321140 is a wasteful number, since it uses less digits than its factorization.

430044321140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292737 (or 292735 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 430044321140 its reverse (41123440034), we get a palindrome (471167761174).

The spelling of 430044321140 in words is "four hundred thirty billion, forty-four million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 457 460 644 805 914 1610 1828 2285 3199 3220 4570 6398 9140 10511 12796 15995 21022 31990 42044 52555 63980 73577 105110 147154 210220 292241 294308 367885 584482 735770 1168964 1461205 1471540 2045687 2922410 4091374 5844820 6721543 8182748 10228435 13443086 20456870 26886172 33607715 40913740 47050801 67215430 94101602 133554137 134430860 188203204 235254005 267108274 470508010 534216548 667770685 934878959 941016020 1335541370 1869757918 2671082740 3071745151 3739515836 4674394795 6143490302 9348789590 12286980604 15358725755 18697579180 21502216057 30717451510 43004432114 61434903020 86008864228 107511080285 215022160570 430044321140