Search a number
-
+
143040432442432 = 2672635227232259
BaseRepresentation
bin100000100001100000110010…
…001010100000110001000000
3200202110112100200021201001011
4200201200302022200301000
5122222033301201124212
61224115511214050304
742062221155446110
oct4041406212406100
9622415320251034
10143040432442432
114163911a06a3a8
121406223b4a9994
1361a7868a83045
14274729dd9d040
151180c236884a7
hex8218322a0c40

143040432442432 has 112 divisors (see below), whose sum is σ = 325692408222720. Its totient is φ = 61058004613632.

The previous prime is 143040432442429. The next prime is 143040432442441. The reversal of 143040432442432 is 234244234040341.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615749919 + ... + 615982177.

It is an arithmetic number, because the mean of its divisors is an integer number (2907967930560).

Almost surely, 2143040432442432 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 143040432442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846204111360).

143040432442432 is an abundant number, since it is smaller than the sum of its proper divisors (182651975780288).

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

143040432442432 is a wasteful number, since it uses less digits than its factorization.

143040432442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237768 (or 237758 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 143040432442432 its reverse (234244234040341), we get a palindrome (377284666482773).

The spelling of 143040432442432 in words is "one hundred forty-three trillion, forty billion, four hundred thirty-two million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 263 448 526 1052 1841 2104 3682 4208 5227 7364 8416 10454 14728 16832 20908 29456 36589 41816 58912 73178 83632 117824 146356 167264 232259 292712 334528 464518 585424 929036 1170848 1374701 1625813 1858072 2341696 2749402 3251626 3716144 5498804 6503252 7432288 9622907 10997608 13006504 14864576 19245814 21995216 26013008 38491628 43990432 52026016 61084117 76983256 87980864 104052032 122168234 153966512 244336468 307933024 427588819 488672936 615866048 855177638 977345872 1214017793 1710355276 1954691744 2428035586 3420710552 3909383488 4856071172 6841421104 8498124551 9712142344 13682842208 16996249102 19424284688 27365684416 33992498204 38848569376 67984996408 77697138752 135969992816 271939985632 319286679559 543879971264 638573359118 1277146718236 2235006756913 2554293436472 4470013513826 5108586872944 8940027027652 10217173745888 17880054055304 20434347491776 35760108110608 71520216221216 143040432442432