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1412324132224 = 271132864107
BaseRepresentation
bin10100100011010101000…
…101000000010110000000
312000000110022000120122111
4110203111011000112000
5141114414434212344
63000451315345104
7204015465022465
oct24432505002600
95000408016574
101412324132224
114a4a66176235
121a98745b2194
13a3248c686c5
144c4dd2bd66c
1526b100a9834
hex148d5140580

1412324132224 has 48 divisors (see below), whose sum is σ = 2838737357820. Its totient is φ = 699912034304.

The previous prime is 1412324132221. The next prime is 1412324132231. The reversal of 1412324132224 is 4222314232141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412324132221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1202379 + ... + 2066485.

Almost surely, 21412324132224 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 1412324132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419368678910).

1412324132224 is an abundant number, since it is smaller than the sum of its proper divisors (1426413225596).

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

1412324132224 is an frugal number, since it uses more digits than its factorization.

1412324132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864347 (or 864222 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

Adding to 1412324132224 its reverse (4222314232141), we get a palindrome (5634638364365).

The spelling of 1412324132224 in words is "one trillion, four hundred twelve billion, three hundred twenty-four million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 12769 14464 25538 51076 102152 204304 408608 817216 864107 1634432 1728214 3456428 6912856 13825712 27651424 55302848 97644091 110605696 195288182 390576364 781152728 1562305456 3124610912 6249221824 11033782283 12498443648 22067564566 44135129132 88270258264 176540516528 353081033056 706162066112 1412324132224