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141414132340000 = 2554132811935589
BaseRepresentation
bin100000001001110110001011…
…000111111101010100100000
3200112201001121000201121000001
4200021312023013331110200
5122013412120334340000
61220432431110505344
741533556012612422
oct4011661307752440
9615631530647001
10141414132340000
1141071440057773
1213a3b00a965254
1360ba3ac181020
1426cc6a27bc812
15115378d1c146a
hex809d8b1fd520

141414132340000 has 240 divisors, whose sum is σ = 375995023671960. Its totient is φ = 52028605440000.

The previous prime is 141414132339989. The next prime is 141414132340043. The reversal of 141414132340000 is 43231414141.

It can be written as a sum of positive squares in 20 ways, for example, as 98457276334096 + 42956856005904 = 9922564^2 + 6554148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72092206 + ... + 74027794.

Almost surely, 2141414132340000 is an apocalyptic number.

141414132340000 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 141414132340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187997511835980).

141414132340000 is an abundant number, since it is smaller than the sum of its proper divisors (234580891331960).

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

141414132340000 is a wasteful number, since it uses less digits than its factorization.

141414132340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935913 (or 1935890 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 141414132340000 its reverse (43231414141), we get a palindrome (141457363754141).

The spelling of 141414132340000 in words is "one hundred forty-one trillion, four hundred fourteen billion, one hundred thirty-two million, three hundred forty thousand".