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141411413000 = 235311131019791
BaseRepresentation
bin1000001110110011000…
…1101110110000001000
3111112000012112002101202
42003230301232300020
54304102310204000
6144544041203332
713134210115004
oct2035461566010
9445005462352
10141411413000
1154a77068670
12234a6490548
1310448108510
146bb6c71704
153a29abcdd5
hex20ecc6ec08

141411413000 has 256 divisors, whose sum is σ = 392641966080. Its totient is φ = 46992000000.

The previous prime is 141411412999. The next prime is 141411413023. The reversal of 141411413000 is 314114141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14438105 + ... + 14447895.

It is an arithmetic number, because the mean of its divisors is an integer number (1533757680).

Almost surely, 2141411413000 is an apocalyptic number.

141411413000 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 141411413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196320983040).

141411413000 is an abundant number, since it is smaller than the sum of its proper divisors (251230553080).

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

141411413000 is a wasteful number, since it uses less digits than its factorization.

141411413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9937 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 141411413000 its reverse (314114141), we get a palindrome (141725527141).

It can be divided in two parts, 14141141 and 3000, that added together give a palindrome (14144141).

The spelling of 141411413000 in words is "one hundred forty-one billion, four hundred eleven million, four hundred thirteen thousand".