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14050533132 = 223613735171
BaseRepresentation
bin11010001010111101…
…00001111100001100
31100021012120001000000
431011132201330030
5212233414030012
610242115404300
71005120363306
oct150536417414
940235501000
1014050533132
115a60183559
1228815b3690
13142bc22b3c
149740ac976
155737b5ddc
hex3457a1f0c

14050533132 has 84 divisors (see below), whose sum is σ = 37135934136. Its totient is φ = 4649192640.

The previous prime is 14050533131. The next prime is 14050533137. The reversal of 14050533132 is 23133505041.

14050533132 is a `hidden beast` number, since 140 + 505 + 3 + 3 + 13 + 2 = 666.

14050533132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14050533096 and 14050533105.

It is not an unprimeable number, because it can be changed into a prime (14050533131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 381907 + ... + 417077.

It is an arithmetic number, because the mean of its divisors is an integer number (442094454).

Almost surely, 214050533132 is an apocalyptic number.

14050533132 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 14050533132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567967068).

14050533132 is an abundant number, since it is smaller than the sum of its proper divisors (23085401004).

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

14050533132 is a wasteful number, since it uses less digits than its factorization.

14050533132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35330 (or 35313 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 14050533132 in words is "fourteen billion, fifty million, five hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 243 274 324 411 486 548 729 822 972 1233 1458 1644 2466 2916 3699 4932 7398 11097 14796 22194 33291 35171 44388 66582 70342 99873 105513 133164 140684 199746 211026 316539 399492 422052 633078 949617 1266156 1899234 2848851 3798468 4818427 5697702 8546553 9636854 11395404 14455281 17093106 19273708 25639659 28910562 34186212 43365843 51279318 57821124 86731686 102558636 130097529 173463372 260195058 390292587 520390116 780585174 1170877761 1561170348 2341755522 3512633283 4683511044 7025266566 14050533132