Search a number
-
+
141001033677200 = 245217311094961091
BaseRepresentation
bin100000000011110101011100…
…100001100111100110010000
3200111020120022110201012121222
4200003311130201213212100
5121440130104110132300
61215514551452504212
741461663026121214
oct4003653441474620
9614216273635558
10141001033677200
1140a22225692114
1213992b40a7b068
13608a456ba8048
1426b66b4b2a944
151147b61887785
hex803d5c867990

141001033677200 has 240 divisors, whose sum is σ = 370292003366400. Its totient is φ = 51364862976000.

The previous prime is 141001033677199. The next prime is 141001033677209. The reversal of 141001033677200 is 2776330100141.

It is not an unprimeable number, because it can be changed into a prime (141001033677209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2308018655 + ... + 2308079745.

It is an arithmetic number, because the mean of its divisors is an integer number (1542883347360).

Almost surely, 2141001033677200 is an apocalyptic number.

141001033677200 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 141001033677200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185146001683200).

141001033677200 is an abundant number, since it is smaller than the sum of its proper divisors (229290969689200).

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

141001033677200 is a wasteful number, since it uses less digits than its factorization.

141001033677200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72106 (or 72095 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

Adding to 141001033677200 its reverse (2776330100141), we get a palindrome (143777363777341).

The spelling of 141001033677200 in words is "one hundred forty-one trillion, one billion, thirty-three million, six hundred seventy-seven thousand, two hundred".