Search a number
-
+
30141601414650 = 233521111273180053
BaseRepresentation
bin1101101101001111000110…
…11100011111110111111010
310221201111202000201221011000
412312213203130133313322
512422314444430232100
6144034505512545430
76230441660506665
oct666474334376772
9127644660657130
1030141601414650
119670a88232780
1234697893b2276
1313a8457a10b7b
14762c0b55a6dc
153740bb3c8900
hex1b69e371fdfa

30141601414650 has 192 divisors, whose sum is σ = 90616021453440. Its totient is φ = 7306366118400.

The previous prime is 30141601414621. The next prime is 30141601414651. The reversal of 30141601414650 is 5641410614103.

30141601414650 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 1 + 601 + 4 + 1 + 46 + 5 + 0 = 666.

It is a super-2 number, since 2×301416014146502 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30141601414651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167314024 + ... + 167494076.

It is an arithmetic number, because the mean of its divisors is an integer number (471958445070).

Almost surely, 230141601414650 is an apocalyptic number.

30141601414650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30141601414650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45308010726720).

30141601414650 is an abundant number, since it is smaller than the sum of its proper divisors (60474420038790).

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

30141601414650 is a wasteful number, since it uses less digits than its factorization.

30141601414650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191358 (or 191347 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 30141601414650 in words is "thirty trillion, one hundred forty-one billion, six hundred one million, four hundred fourteen thousand, six hundred fifty".