Search a number
-
+
4042140141300 = 2235243313344197
BaseRepresentation
bin111010110100100010010…
…100111100011011110100
3112022102110200210200101020
4322310202110330123310
51012211300334010200
612332533351301140
7565015000204662
oct72644224743364
915272420720336
104042140141300
111319297805528
1255348867a7b0
13234231381aa1
14dd8d7c45c32
157022a7d7ea0
hex3ad2253c6f4

4042140141300 has 72 divisors (see below), whose sum is σ = 11967241610016. Its totient is φ = 1052836498560.

The previous prime is 4042140141283. The next prime is 4042140141311. The reversal of 4042140141300 is 31410412404.

It is a super-3 number, since 3×40421401413003 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156659199 + ... + 156684998.

It is an arithmetic number, because the mean of its divisors is an integer number (166211689028).

Almost surely, 24042140141300 is an apocalyptic number.

It is an amenable number.

4042140141300 is an abundant number, since it is smaller than the sum of its proper divisors (7925101468716).

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

4042140141300 is a wasteful number, since it uses less digits than its factorization.

4042140141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313344257 (or 313344250 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4042140141300 its reverse (31410412404), we get a palindrome (4073550553704).

The spelling of 4042140141300 in words is "four trillion, forty-two billion, one hundred forty million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 313344197 626688394 940032591 1253376788 1566720985 1880065182 3133441970 3760130364 4700162955 6266883940 7833604925 9400325910 13473800471 15667209850 18800651820 23500814775 26947600942 31334419700 40421401413 47001629550 53895201884 67369002355 80842802826 94003259100 134738004710 161685605652 202107007065 269476009420 336845011775 404214014130 673690023550 808428028260 1010535035325 1347380047100 2021070070650 4042140141300