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43213324420 = 22572177693373
BaseRepresentation
bin101000001111101101…
…110000000010000100
311010112121111022221001
4220033231300002010
51202000102340140
631504003303044
73056603124400
oct501755600204
9133477438831
1043213324420
1117365882262
12846007aa84
1340c8a07b66
14213d264100
1511cdb67e9a
hexa0fb70084

43213324420 has 144 divisors (see below), whose sum is σ = 111952154160. Its totient is φ = 13922205696.

The previous prime is 43213324411. The next prime is 43213324421. The reversal of 43213324420 is 2442331234.

It can be written as a sum of positive squares in 8 ways, for example, as 5447620864 + 37765703556 = 73808^2 + 194334^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (43213324421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12809854 + ... + 12813226.

It is an arithmetic number, because the mean of its divisors is an integer number (777445515).

Almost surely, 243213324420 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 43213324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55976077080).

43213324420 is an abundant number, since it is smaller than the sum of its proper divisors (68738829740).

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

43213324420 is a wasteful number, since it uses less digits than its factorization.

43213324420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 43213324420 its reverse (2442331234), we get a palindrome (45655655654).

The spelling of 43213324420 in words is "forty-three billion, two hundred thirteen million, three hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 769 833 980 1190 1538 1666 2380 3076 3332 3373 3845 4165 5383 6746 7690 8330 10766 13073 13492 15380 16660 16865 21532 23611 26146 26915 33730 37681 47222 52292 53830 57341 65365 67460 75362 91511 94444 107660 114682 118055 130730 150724 165277 183022 188405 229364 236110 261460 286705 330554 366044 376810 401387 457555 472220 573410 640577 661108 753620 802774 826385 915110 1146820 1281154 1605548 1652770 1830220 2006935 2562308 2593837 2809709 3202885 3305540 4013870 5187674 5619418 6405770 8027740 10375348 11238836 12811540 12969185 14048545 18156859 25938370 28097090 36313718 44095229 51876740 56194180 72627436 88190458 90784295 127098013 176380916 181568590 220476145 254196026 308666603 363137180 440952290 508392052 617333206 635490065 881904580 1234666412 1270980130 1543333015 2160666221 2541960260 3086666030 4321332442 6173332060 8642664884 10803331105 21606662210 43213324420