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1412144352 = 25327516529
BaseRepresentation
bin101010000101011…
…1001110011100000
310122102012100212200
41110022321303200
510343002104402
6352043053200
746665012633
oct12412716340
93572170780
101412144352
11665133a53
12334b11200
13196741398
14d5793c1a
1583e9321c
hex542b9ce0

1412144352 has 72 divisors (see below), whose sum is σ = 4021748640. Its totient is φ = 470016000.

The previous prime is 1412144341. The next prime is 1412144407. The reversal of 1412144352 is 2534412141.

1412144352 is a `hidden beast` number, since 14 + 1 + 214 + 435 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213024 + ... + 219552.

It is an arithmetic number, because the mean of its divisors is an integer number (55857620).

Almost surely, 21412144352 is an apocalyptic number.

1412144352 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 1412144352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010874320).

1412144352 is an abundant number, since it is smaller than the sum of its proper divisors (2609604288).

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

1412144352 is a wasteful number, since it uses less digits than its factorization.

1412144352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7296 (or 7285 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 1412144352 is about 37578.5091774541. The cubic root of 1412144352 is about 1121.9143366400.

Adding to 1412144352 its reverse (2534412141), we get a palindrome (3946556493).

The spelling of 1412144352 in words is "one billion, four hundred twelve million, one hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 751 1502 2253 3004 4506 6008 6529 6759 9012 12016 13058 13518 18024 19587 24032 26116 27036 36048 39174 52232 54072 58761 72096 78348 104464 108144 117522 156696 208928 216288 235044 313392 470088 626784 940176 1880352 4903279 9806558 14709837 19613116 29419674 39226232 44129511 58839348 78452464 88259022 117678696 156904928 176518044 235357392 353036088 470714784 706072176 1412144352