Search a number
-
+
143026116160 = 26529101152597
BaseRepresentation
bin1000010100110100000…
…1010101011001000000
3111200011201212111201111
42011031001111121000
54320404141204120
6145412202013104
713222214633254
oct2051501253100
9450151774644
10143026116160
1155725571a94
12238771a7194
13106447bb785
146ccb4b2264
153ac172375a
hex214d055640

143026116160 has 112 divisors (see below), whose sum is σ = 355815808560. Its totient is φ = 54690406400.

The previous prime is 143026116139. The next prime is 143026116161. The reversal of 143026116160 is 61611620341.

It can be written as a sum of positive squares in 8 ways, for example, as 6918246976 + 136107869184 = 83176^2 + 368928^2 .

It is not an unprimeable number, because it can be changed into a prime (143026116161) by changing a digit.

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, 860982 + ... + 1013578.

Almost surely, 2143026116160 is an apocalyptic number.

143026116160 is a gapful number since it is divisible by the number (10) 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 143026116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177907904280).

143026116160 is an abundant number, since it is smaller than the sum of its proper divisors (212789692400).

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

143026116160 is a wasteful number, since it uses less digits than its factorization.

143026116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152744 (or 152734 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 143026116160 in words is "one hundred forty-three billion, twenty-six million, one hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 101 116 145 160 202 232 290 320 404 464 505 580 808 928 1010 1160 1616 1856 2020 2320 2929 3232 4040 4640 5858 6464 8080 9280 11716 14645 16160 23432 29290 32320 46864 58580 93728 117160 152597 187456 234320 305194 468640 610388 762985 937280 1220776 1525970 2441552 3051940 4425313 4883104 6103880 8850626 9766208 12207760 15412297 17701252 22126565 24415520 30824594 35402504 44253130 48831040 61649188 70805008 77061485 88506260 123298376 141610016 154122970 177012520 246596752 283220032 308245940 354025040 446956613 493193504 616491880 708050080 893913226 986387008 1232983760 1416100160 1787826452 2234783065 2465967520 3575652904 4469566130 4931935040 7151305808 8939132260 14302611616 17878264520 28605223232 35756529040 71513058080 143026116160