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141212032 = 2713113751
BaseRepresentation
bin10000110101010…
…11100110000000
3100211201022111021
420122223212000
5242122241112
622002355224
73333165613
oct1032534600
9324638437
10141212032
117278a765
123b35bb14
1323342c20
1414a7c17a
15c5e5907
hex86ab980

141212032 has 64 divisors (see below), whose sum is σ = 306048960. Its totient is φ = 64512000.

The previous prime is 141212023. The next prime is 141212033. The reversal of 141212032 is 230212141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 141211997 and 141212015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141212033) 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 7 ways as a sum of consecutive naturals, for example, 187657 + ... + 188407.

It is an arithmetic number, because the mean of its divisors is an integer number (4782015).

Almost surely, 2141212032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153024480).

141212032 is an abundant number, since it is smaller than the sum of its proper divisors (164836928).

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

141212032 is a wasteful number, since it uses less digits than its factorization.

141212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 141212032 is about 11883.2668908848. The cubic root of 141212032 is about 520.7435516681.

Adding to 141212032 its reverse (230212141), we get a palindrome (371424173).

The spelling of 141212032 in words is "one hundred forty-one million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 128 208 226 416 452 751 832 904 1469 1502 1664 1808 2938 3004 3616 5876 6008 7232 9763 11752 12016 14464 19526 23504 24032 39052 47008 48064 78104 84863 94016 96128 156208 169726 188032 312416 339452 624832 678904 1103219 1249664 1357808 2206438 2715616 4412876 5431232 8825752 10862464 17651504 35303008 70606016 141212032