Search a number
-
+
43200423440 = 24523109215399
BaseRepresentation
bin101000001110111100…
…100010011000010000
311010111201012220002222
4220032330202120100
51201433302022230
631502423000212
73056355353246
oct501674423020
9133451186088
1043200423440
1117359570599
128457899068
1340c613ba45
14213b666796
1511cc96a6e5
hexa0ef22610

43200423440 has 80 divisors (see below), whose sum is σ = 105770016000. Its totient is φ = 16377140736.

The previous prime is 43200423433. The next prime is 43200423449. The reversal of 43200423440 is 4432400234.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (43200423449) 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, 92861 + ... + 308259.

It is an arithmetic number, because the mean of its divisors is an integer number (1322125200).

Almost surely, 243200423440 is an apocalyptic number.

43200423440 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 43200423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52885008000).

43200423440 is an abundant number, since it is smaller than the sum of its proper divisors (62569592560).

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

43200423440 is a wasteful number, since it uses less digits than its factorization.

43200423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215544 (or 215538 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 43200423440 its reverse (4432400234), we get a palindrome (47632823674).

The spelling of 43200423440 in words is "forty-three billion, two hundred million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 109 115 184 218 230 368 436 460 545 872 920 1090 1744 1840 2180 2507 4360 5014 8720 10028 12535 20056 25070 40112 50140 100280 200560 215399 430798 861596 1076995 1723192 2153990 3446384 4307980 4954177 8615960 9908354 17231920 19816708 23478491 24770885 39633416 46956982 49541770 79266832 93913964 99083540 117392455 187827928 198167080 234784910 375655856 396334160 469569820 540005293 939139640 1080010586 1878279280 2160021172 2700026465 4320042344 5400052930 8640084688 10800105860 21600211720 43200423440