Search a number
-
+
43378430784 = 26313130713297
BaseRepresentation
bin101000011001100011…
…100101001101000000
311010222010011121021120
4220121203211031000
51202314334241114
631532222152240
73063646402143
oct503143451500
9133863147246
1043378430784
111743aaa20a7
1284a7422680
134123c95930
14215716205a
1511dd3cd5a9
hexa198e5340

43378430784 has 112 divisors (see below), whose sum is σ = 123704591808. Its totient is φ = 13335994368.

The previous prime is 43378430743. The next prime is 43378430857. The reversal of 43378430784 is 48703487334.

It is a happy number.

It is a congruent number.

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, 3255624 + ... + 3268920.

It is an arithmetic number, because the mean of its divisors is an integer number (1104505284).

Almost surely, 243378430784 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 43378430784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61852295904).

43378430784 is an abundant number, since it is smaller than the sum of its proper divisors (80326161024).

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

43378430784 is a wasteful number, since it uses less digits than its factorization.

43378430784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14632 (or 14622 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 51.

The spelling of 43378430784 in words is "forty-three billion, three hundred seventy-eight million, four hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1307 2496 2614 3921 5228 7842 10456 13297 15684 16991 20912 26594 31368 33982 39891 41824 50973 53188 62736 67964 79782 83648 101946 106376 125472 135928 159564 172861 203892 212752 250944 271856 319128 345722 407784 425504 518583 543712 638256 691444 815568 851008 1037166 1087424 1276512 1382888 1631136 2074332 2553024 2765776 3262272 4148664 5531552 8297328 11063104 16594656 17379179 33189312 34758358 52137537 69516716 104275074 139033432 208550148 225929327 278066864 417100296 451858654 556133728 677787981 834200592 903717308 1112267456 1355575962 1668401184 1807434616 2711151924 3336802368 3614869232 5422303848 7229738464 10844607696 14459476928 21689215392 43378430784