Search a number
-
+
43414230400 = 275217975793
BaseRepresentation
bin101000011011101100…
…001001010110000000
311011001121112102010021
4220123230021112000
51202403020333100
631535541343224
73064562604202
oct503354112600
9134047472107
1043414230400
1117459223962
1284b7407b14
13412b51b638
14215bc00772
1511e1600a1a
hexa1bb09580

43414230400 has 96 divisors (see below), whose sum is σ = 107847282600. Its totient is φ = 17268449280.

The previous prime is 43414230389. The next prime is 43414230413. The reversal of 43414230400 is 403241434.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534904 + ... + 610696.

Almost surely, 243414230400 is an apocalyptic number.

43414230400 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 43414230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53923641300).

43414230400 is an abundant number, since it is smaller than the sum of its proper divisors (64433052200).

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

43414230400 is a wasteful number, since it uses less digits than its factorization.

43414230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75996 (or 75979 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 43414230400 its reverse (403241434), we get a palindrome (43817471834).

The spelling of 43414230400 in words is "forty-three billion, four hundred fourteen million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 179 200 320 358 400 640 716 800 895 1432 1600 1790 2864 3200 3580 4475 5728 7160 8950 11456 14320 17900 22912 28640 35800 57280 71600 75793 114560 143200 151586 286400 303172 378965 572800 606344 757930 1212688 1515860 1894825 2425376 3031720 3789650 4850752 6063440 7579300 9701504 12126880 13566947 15158600 24253760 27133894 30317200 48507520 54267788 60634400 67834735 108535576 121268800 135669470 217071152 242537600 271338940 339173675 434142304 542677880 678347350 868284608 1085355760 1356694700 1736569216 2170711520 2713389400 4341423040 5426778800 8682846080 10853557600 21707115200 43414230400