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141209789952 = 29372111947191
BaseRepresentation
bin1000001110000011000…
…0100110011000000000
3111111111011010120120110
42003200300212120000
54303144201234302
6144512035511320
713126211260500
oct2034060463000
9444434116513
10141209789952
1154983277250
122344aa58540
131041540353a
146b98189a00
153a17042b6c
hex20e0c26600

141209789952 has 960 divisors, whose sum is σ = 515898408960. Its totient is φ = 33830092800.

The previous prime is 141209789921. The next prime is 141209789953. The reversal of 141209789952 is 259987902141.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 141209789892 and 141209789901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141209789953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 739318177 + ... + 739318367.

It is an arithmetic number, because the mean of its divisors is an integer number (537394176).

Almost surely, 2141209789952 is an apocalyptic number.

141209789952 is a gapful number since it is divisible by the number (12) 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 141209789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257949204480).

141209789952 is an abundant number, since it is smaller than the sum of its proper divisors (374688619008).

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

141209789952 is a wasteful number, since it uses less digits than its factorization.

141209789952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 141209789952 in words is "one hundred forty-one billion, two hundred nine million, seven hundred eighty-nine thousand, nine hundred fifty-two".