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43414311340 = 225179711091187
BaseRepresentation
bin101000011011101100…
…011101000110101100
311011001121200112011001
4220123230131012230
51202403030430330
631535543210044
73064563362161
oct503354350654
9134047615131
1043414311340
1117459279754
1284b7446924
13412b54942a
14215bc22068
1511e16199ca
hexa1bb1d1ac

43414311340 has 96 divisors (see below), whose sum is σ = 97698363840. Its totient is φ = 16147513344.

The previous prime is 43414311331. The next prime is 43414311359. The reversal of 43414311340 is 4311341434.

It is a happy number.

43414311340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 43414311299 and 43414311308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36574227 + ... + 36575413.

It is an arithmetic number, because the mean of its divisors is an integer number (1017691290).

Almost surely, 243414311340 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 43414311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48849181920).

43414311340 is an abundant number, since it is smaller than the sum of its proper divisors (54284052500).

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

43414311340 is a wasteful number, since it uses less digits than its factorization.

43414311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 43414311340 its reverse (4311341434), we get a palindrome (47725652774).

The spelling of 43414311340 in words is "forty-three billion, four hundred fourteen million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1109 1187 1649 1940 2218 2374 3298 4436 4748 5545 5935 6596 8245 11090 11870 16490 18853 20179 22180 23740 32980 37706 40358 75412 80716 94265 100895 107573 115139 188530 201790 215146 230278 377060 403580 430292 460556 537865 575695 1075730 1151390 1316383 1828741 1957363 2151460 2302780 2632766 3657482 3914726 5265532 6581915 7314964 7829452 9143705 9786815 13163830 18287410 19573630 22378511 26327660 36574820 39147260 44757022 89514044 111892555 127689151 223785110 255378302 447570220 510756604 638445755 1276891510 2170715567 2553783020 4341431134 8682862268 10853577835 21707155670 43414311340