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141401577450 = 235271770911173
BaseRepresentation
bin1000001110110000110…
…0001101011111101010
3111111222112000101120010
42003230030031133222
54304042300434300
6144543050312350
713134030401640
oct2035414153752
9444875011503
10141401577450
1154a71560011
12234a31286b6
1310446073773
146bb5831190
153a28cc8a50
hex20ec30d7ea

141401577450 has 192 divisors, whose sum is σ = 424983870720. Its totient is φ = 30373539840.

The previous prime is 141401577349. The next prime is 141401577461. The reversal of 141401577450 is 54775104141.

141401577450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1414015774502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141401577399 and 141401577408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12650064 + ... + 12661236.

It is an arithmetic number, because the mean of its divisors is an integer number (2213457660).

Almost surely, 2141401577450 is an apocalyptic number.

141401577450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141401577450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212491935360).

141401577450 is an abundant number, since it is smaller than the sum of its proper divisors (283582293270).

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

141401577450 is a wasteful number, since it uses less digits than its factorization.

141401577450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11921 (or 11916 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The spelling of 141401577450 in words is "one hundred forty-one billion, four hundred one million, five hundred seventy-seven thousand, four hundred fifty".