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43414334240 = 2551943332117
BaseRepresentation
bin101000011011101100…
…100010101100100000
311011001121201200120012
4220123230202230200
51202403032143430
631535543504052
73064563516014
oct503354425440
9134047650505
1043414334240
1117459294982
1284b7458028
13412b556994
14215bc2a544
1511e1621695
hexa1bb22b20

43414334240 has 96 divisors (see below), whose sum is σ = 110475731520. Its totient is φ = 16069100544.

The previous prime is 43414334231. The next prime is 43414334251. The reversal of 43414334240 is 4243341434.

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

It is a junction number, because it is equal to n+sod(n) for n = 43414334197 and 43414334206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35339 + ... + 296778.

It is an arithmetic number, because the mean of its divisors is an integer number (1150788870).

Almost surely, 243414334240 is an apocalyptic number.

43414334240 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 43414334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55237865760).

43414334240 is an abundant number, since it is smaller than the sum of its proper divisors (67061397280).

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

43414334240 is a wasteful number, since it uses less digits than its factorization.

43414334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332194 (or 332186 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 43414334240 its reverse (4243341434), we get a palindrome (47657675674).

The spelling of 43414334240 in words is "forty-three billion, four hundred fourteen million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 43 76 80 86 95 152 160 172 190 215 304 344 380 430 608 688 760 817 860 1376 1520 1634 1720 3040 3268 3440 4085 6536 6880 8170 13072 16340 26144 32680 65360 130720 332117 664234 1328468 1660585 2656936 3321170 5313872 6310223 6642340 10627744 12620446 13284680 14281031 25240892 26569360 28562062 31551115 50481784 53138720 57124124 63102230 71405155 100963568 114248248 126204460 142810310 201927136 228496496 252408920 271339589 285620620 456992992 504817840 542679178 571241240 1009635680 1085358356 1142482480 1356697945 2170716712 2284964960 2713395890 4341433424 5426791780 8682866848 10853583560 21707167120 43414334240