Search a number
-
+
443020301432140 = 2252310143392197631
BaseRepresentation
bin110010010111011001011001…
…1101100011111010101001100
32011002121022211112012000022111
41210232302303230133111030
5431031421034131312030
64210120414500553404
7162213106030413115
oct14456626354372514
92132538745160274
10443020301432140
11119183944708933
12418303766b2864
13160278345cc943
147b58422d6920c
153633e949ed62a
hex192ecb3b1f54c

443020301432140 has 96 divisors (see below), whose sum is σ = 980630515630080. Its totient is φ = 167786413344000.

The previous prime is 443020301432047. The next prime is 443020301432141. The reversal of 443020301432140 is 41234103020344.

It is not an unprimeable number, because it can be changed into a prime (443020301432141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200491125 + ... + 202688755.

It is an arithmetic number, because the mean of its divisors is an integer number (10214901204480).

Almost surely, 2443020301432140 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 443020301432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490315257815040).

443020301432140 is an abundant number, since it is smaller than the sum of its proper divisors (537610214197940).

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

443020301432140 is a wasteful number, since it uses less digits than its factorization.

443020301432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202103 (or 2202101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 443020301432140 its reverse (41234103020344), we get a palindrome (484254404452484).

The spelling of 443020301432140 in words is "four hundred forty-three trillion, twenty billion, three hundred one million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 202 230 404 460 505 1010 2020 2323 4339 4646 8678 9292 11615 17356 21695 23230 43390 46460 86780 99797 199594 399188 438239 498985 876478 997970 1752956 1995940 2191195 2197631 4382390 4395262 8764780 8790524 10079497 10988155 20158994 21976310 40317988 43952620 50397485 50545513 100794970 101091026 201589940 202182052 221960731 252727565 443921462 505455130 887842924 1010910260 1109803655 2219607310 4439214620 5105096813 9535520909 10210193626 19071041818 20420387252 25525484065 38142083636 47677604545 51050968130 95355209090 102101936260 190710418180 219316980907 438633961814 877267923628 963087611809 1096584904535 1926175223618 2193169809070 3852350447236 4386339618140 4815438059045 9630876118090 19261752236180 22151015071607 44302030143214 88604060286428 110755075358035 221510150716070 443020301432140