Search a number
-
+
30141201040 = 2452979716301
BaseRepresentation
bin11100000100100011…
…100011101010010000
32212210120222122210021
4130010203203222100
5443212121413130
621502514313224
72114632660456
oct340443435220
985716878707
1030141201040
1111867a16505
125a12288814
132ac4703002
14165d0c29d6
15bb621b37a
hex7048e3a90

30141201040 has 80 divisors (see below), whose sum is σ = 72590197680. Its totient is φ = 11625420800.

The previous prime is 30141201037. The next prime is 30141201067. The reversal of 30141201040 is 4010214103.

It can be written as a sum of positive squares in 8 ways, for example, as 441504144 + 29699696896 = 21012^2 + 172336^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1840890 + ... + 1857190.

It is an arithmetic number, because the mean of its divisors is an integer number (907377471).

Almost surely, 230141201040 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 30141201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36295098840).

30141201040 is an abundant number, since it is smaller than the sum of its proper divisors (42448996640).

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

30141201040 is a wasteful number, since it uses less digits than its factorization.

30141201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17140 (or 17134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 30141201040 its reverse (4010214103), we get a palindrome (34151415143).

The spelling of 30141201040 in words is "thirty billion, one hundred forty-one million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 797 1160 1594 2320 3188 3985 6376 7970 12752 15940 16301 23113 31880 32602 46226 63760 65204 81505 92452 115565 130408 163010 184904 231130 260816 326020 369808 462260 472729 652040 924520 945458 1304080 1849040 1890916 2363645 3781832 4727290 7563664 9454580 12991897 18909160 25983794 37818320 51967588 64959485 103935176 129918970 207870352 259837940 376765013 519675880 753530026 1039351760 1507060052 1883825065 3014120104 3767650130 6028240208 7535300260 15070600520 30141201040