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141132200000 = 26551164151
BaseRepresentation
bin1000001101110000100…
…0100111100001000000
3111111021202010121011112
42003130020213201000
54303014320400000
6144500224502452
713124246622641
oct2033410474100
9444252117145
10141132200000
11549434a1820
1223428a7aa28
131040230811c
146b8bb4d6c8
153a10318235
hex20dc227840

141132200000 has 168 divisors, whose sum is σ = 381880433088. Its totient is φ = 51320000000.

The previous prime is 141132199997. The next prime is 141132200009. The reversal of 141132200000 is 2231141.

It is a super-3 number, since 3×1411322000003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141132200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2167925 + ... + 2232075.

It is an arithmetic number, because the mean of its divisors is an integer number (2273097816).

Almost surely, 2141132200000 is an apocalyptic number.

141132200000 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 141132200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190940216544).

141132200000 is an abundant number, since it is smaller than the sum of its proper divisors (240748233088).

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

141132200000 is an frugal number, since it uses more digits than its factorization.

141132200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64199 (or 64169 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 141132200000 its reverse (2231141), we get a palindrome (141134431141).

The spelling of 141132200000 in words is "one hundred forty-one billion, one hundred thirty-two million, two hundred thousand".