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141006303398016 = 27337223187919267
BaseRepresentation
bin100000000011111010010110…
…101000000000100010000000
3200111021001220201121202121000
4200003322112220000202000
5121440221402132214031
61215521222421132000
741462240435034600
oct4003722650004200
9614231821552530
10141006303398016
1140a2448a272391
1213993b7185a000
13608aab6892644
1426b6a5495cc00
151147d6e31b3e6
hex803e96a00880

141006303398016 has 768 divisors, whose sum is σ = 505452973824000. Its totient is φ = 38513376405504.

The previous prime is 141006303397987. The next prime is 141006303398029. The reversal of 141006303398016 is 610893303600141.

It is a happy number.

141006303398016 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 0 + 630 + 3 + 3 + 9 + 8 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×1410063033980162 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7318530015 + ... + 7318549281.

It is an arithmetic number, because the mean of its divisors is an integer number (658141893000).

Almost surely, 2141006303398016 is an apocalyptic number.

141006303398016 is a gapful number since it is divisible by the number (16) 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 141006303398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252726486912000).

141006303398016 is an abundant number, since it is smaller than the sum of its proper divisors (364446670425984).

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

141006303398016 is a wasteful number, since it uses less digits than its factorization.

141006303398016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21206 (or 21181 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

Adding to 141006303398016 its reverse (610893303600141), we get a palindrome (751899606998157).

The spelling of 141006303398016 in words is "one hundred forty-one trillion, six billion, three hundred three million, three hundred ninety-eight thousand, sixteen".