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141212416 = 28678233
BaseRepresentation
bin10000110101010…
…11101100000000
3100211201100000111
420122223230000
5242122244131
622002401104
73333200002
oct1032535400
9324640014
10141212416
117278aa84
123b360194
1323343157
1414a7c372
15c5e5ab1
hex86abb00

141212416 has 36 divisors (see below), whose sum is σ = 286115032. Its totient is φ = 69543936.

The previous prime is 141212411. The next prime is 141212417. The reversal of 141212416 is 614212141.

It is a pancake number, because a pancake can be divided into 141212416 parts by 16805 straight cuts.

It is not an unprimeable number, because it can be changed into a prime (141212411) 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 3 ways as a sum of consecutive naturals, for example, 13036 + ... + 21268.

Almost surely, 2141212416 is an apocalyptic number.

141212416 is a gapful number since it is divisible by the number (16) 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 141212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143057516).

141212416 is an abundant number, since it is smaller than the sum of its proper divisors (144902616).

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

141212416 is an frugal number, since it uses more digits than its factorization.

141212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8302 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 141212416 is about 11883.2830480469. The cubic root of 141212416 is about 520.7440236896.

Adding to 141212416 its reverse (614212141), we get a palindrome (755424557).

The spelling of 141212416 in words is "one hundred forty-one million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 2144 4288 8233 8576 16466 17152 32932 65864 131728 263456 526912 551611 1053824 1103222 2107648 2206444 4412888 8825776 17651552 35303104 70606208 141212416