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14158641132 = 2233434017603
BaseRepresentation
bin11010010111110101…
…11011011111101100
31100112201222111022000
431023322323133230
5212444103004012
610300540452300
71010602315056
oct151372733754
940481874260
1014158641132
116006202709
1228b184a090
131448444c7c
149845b08d6
1557d01cddc
hex34bebb7ec

14158641132 has 96 divisors (see below), whose sum is σ = 37659874560. Its totient is φ = 4597689600.

The previous prime is 14158641073. The next prime is 14158641163. The reversal of 14158641132 is 23114685141.

14158641132 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 8 + 641 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1858443 + ... + 1866045.

It is an arithmetic number, because the mean of its divisors is an integer number (392290360).

Almost surely, 214158641132 is an apocalyptic number.

14158641132 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 14158641132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829937280).

14158641132 is an abundant number, since it is smaller than the sum of its proper divisors (23501233428).

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

14158641132 is a wasteful number, since it uses less digits than its factorization.

14158641132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8060 (or 8052 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 14158641132 in words is "fourteen billion, one hundred fifty-eight million, six hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 401 516 774 802 1161 1203 1548 1604 2322 2406 3609 4644 4812 7218 7603 10827 14436 15206 17243 21654 22809 30412 34486 43308 45618 51729 68427 68972 91236 103458 136854 155187 205281 206916 273708 310374 326929 410562 465561 620748 653858 821124 931122 980787 1307716 1862244 1961574 2942361 3048803 3923148 5884722 6097606 8827083 9146409 11769444 12195212 17654166 18292818 27439227 35308332 36585636 54878454 82317681 109756908 131098529 164635362 262197058 329270724 393295587 524394116 786591174 1179886761 1573182348 2359773522 3539660283 4719547044 7079320566 14158641132