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43225445120 = 2851113236153
BaseRepresentation
bin101000010000011011…
…111111001100000000
311010120110022010101212
4220100123333030000
51202011203220440
631505115145252
73060111135614
oct502033771400
9133513263355
1043225445120
1117371700770
128464145228
1340cb38ca80
142140adb344
1511cec5e465
hexa106ff300

43225445120 has 144 divisors (see below), whose sum is σ = 121640091552. Its totient is φ = 14509178880.

The previous prime is 43225445077. The next prime is 43225445129. The reversal of 43225445120 is 2154452234.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (43225445129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64964 + ... + 301116.

It is an arithmetic number, because the mean of its divisors is an integer number (844722858).

Almost surely, 243225445120 is an apocalyptic number.

43225445120 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 43225445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60820045776).

43225445120 is an abundant number, since it is smaller than the sum of its proper divisors (78414646432).

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

43225445120 is a wasteful number, since it uses less digits than its factorization.

43225445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236198 (or 236184 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 43225445120 its reverse (2154452234), we get a palindrome (45379897354).

The spelling of 43225445120 in words is "forty-three billion, two hundred twenty-five million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 256 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1280 1408 1430 1664 1760 2080 2288 2816 2860 3328 3520 4160 4576 5720 7040 8320 9152 11440 14080 16640 18304 22880 36608 45760 91520 183040 236153 472306 944612 1180765 1889224 2361530 2597683 3069989 3778448 4723060 5195366 6139978 7556896 9446120 10390732 12279956 12988415 15113792 15349945 18892240 20781464 24559912 25976830 30227584 30699890 33769879 37784480 41562928 49119824 51953660 60455168 61399780 67539758 75568960 83125856 98239648 103907320 122799560 135079516 151137920 166251712 168849395 196479296 207814640 245599120 270159032 302275840 332503424 337698790 392958592 415629280 491198240 540318064 665006848 675397580 785917184 831258560 982396480 1080636128 1350795160 1662517120 1964792960 2161272256 2701590320 3325034240 3929585920 4322544512 5403180640 8645089024 10806361280 21612722560 43225445120