Search a number
-
+
141311441024 = 2713127797839
BaseRepresentation
bin1000001110011011010…
…0010111100010000000
3111111202020101222121222
42003212310113202000
54303401212103044
6144530110334212
713131554300345
oct2034664274200
9444666358558
10141311441024
1154a256961a6
1223478aba368
13104304a46c0
146ba788a7cc
153a20e218ee
hex20e6d17880

141311441024 has 128 divisors (see below), whose sum is σ = 306309427200. Its totient is φ = 64548900864.

The previous prime is 141311441003. The next prime is 141311441027. The reversal of 141311441024 is 420144113141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 141311440984 and 141311441002.

It is not an unprimeable number, because it can be changed into a prime (141311441027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168427997 + ... + 168428835.

It is an arithmetic number, because the mean of its divisors is an integer number (2393042400).

Almost surely, 2141311441024 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 141311441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153154713600).

141311441024 is an abundant number, since it is smaller than the sum of its proper divisors (164997986176).

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

141311441024 is a wasteful number, since it uses less digits than its factorization.

141311441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 141311441024 its reverse (420144113141), we get a palindrome (561455554165).

The spelling of 141311441024 in words is "one hundred forty-one billion, three hundred eleven million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 416 508 797 832 839 1016 1594 1651 1664 1678 2032 3188 3302 3356 4064 6376 6604 6712 8128 10361 10907 12752 13208 13424 16256 20722 21814 25504 26416 26848 41444 43628 51008 52832 53696 82888 87256 101219 102016 105664 106553 107392 165776 174512 202438 211328 213106 331552 349024 404876 426212 663104 668683 698048 809752 852424 1315847 1326208 1337366 1385189 1396096 1619504 1704848 2631694 2674732 2770378 3239008 3409696 5263388 5349464 5540756 6478016 6819392 8692879 10526776 10698928 11081512 12956032 13638784 17385758 21053552 21397856 22163024 34771516 42107104 42795712 44326048 69543032 84214208 84922741 85591424 88652096 139086064 168428416 169845482 177304192 278172128 339690964 556344256 679381928 1103995633 1112688512 1358763856 2207991266 2717527712 4415982532 5435055424 8831965064 10870110848 17663930128 35327860256 70655720512 141311441024