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331142403001312 = 2571478314299113
BaseRepresentation
bin100101101001011000001100…
…1010011010000101111100000
31121102110220102102102202200001
41023102300121103100233200
5321400414120132020222
63132140415252305344
7126515151305361340
oct11322603123205740
91542426372382601
10331142403001312
119656a7826a2001
1231181748912254
13112a079649b646
145bab540a58d20
152843b91a3ae27
hex12d2c194d0be0

331142403001312 has 24 divisors (see below), whose sum is σ = 745070406753456. Its totient is φ = 141918172714752.

The previous prime is 331142403001309. The next prime is 331142403001313. The reversal of 331142403001312 is 213100304241133.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331142403001313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 739157149333 + ... + 739157149780.

It is an arithmetic number, because the mean of its divisors is an integer number (31044600281394).

Almost surely, 2331142403001312 is an apocalyptic number.

331142403001312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331142403001312 is an abundant number, since it is smaller than the sum of its proper divisors (413928003752144).

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

331142403001312 is a wasteful number, since it uses less digits than its factorization.

331142403001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478314299130 (or 1478314299122 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 331142403001312 its reverse (213100304241133), we get a palindrome (544242707242445).

The spelling of 331142403001312 in words is "three hundred thirty-one trillion, one hundred forty-two billion, four hundred three million, one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1478314299113 2956628598226 5913257196452 10348200093791 11826514392904 20696400187582 23653028785808 41392800375164 47306057571616 82785600750328 165571201500656 331142403001312