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1312144351452 = 22321113742835647
BaseRepresentation
bin10011000110000001111…
…001011110000011011100
311122102212121002102112200
4103012001321132003130
5132444232423221302
62442442451131500
7163541105651004
oct23060171360334
94572777072480
101312144351452
11466528308190
121923765a3b90
1396972130b0c
1447718421004
15241ea1ab81c
hex13181e5e0dc

1312144351452 has 144 divisors (see below), whose sum is σ = 3646245238272. Its totient is φ = 394555127040.

The previous prime is 1312144351451. The next prime is 1312144351481. The reversal of 1312144351452 is 2541534412131.

1312144351452 is a `hidden beast` number, since 1 + 3 + 1 + 214 + 435 + 1 + 4 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312144351451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232358493 + ... + 232364139.

It is an arithmetic number, because the mean of its divisors is an integer number (25321147488).

Almost surely, 21312144351452 is an apocalyptic number.

1312144351452 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 1312144351452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823122619136).

1312144351452 is an abundant number, since it is smaller than the sum of its proper divisors (2334100886820).

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

1312144351452 is a wasteful number, since it uses less digits than its factorization.

1312144351452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10083 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 1312144351452 its reverse (2541534412131), we get a palindrome (3853678763583).

The spelling of 1312144351452 in words is "one trillion, three hundred twelve billion, one hundred forty-four million, three hundred fifty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 274 396 411 548 822 1233 1507 1644 2466 3014 4283 4521 4932 5647 6028 8566 9042 11294 12849 13563 16941 17132 18084 22588 25698 27126 33882 38547 47113 50823 51396 54252 62117 67764 77094 94226 101646 124234 141339 154188 186351 188452 203292 248468 282678 372702 424017 559053 565356 586771 745404 773639 848034 1118106 1173542 1547278 1696068 1760313 2236212 2320917 2347084 3094556 3520626 4641834 5280939 6454481 6962751 7041252 8510029 9283668 10561878 12908962 13925502 17020058 19363443 21123756 24186101 25530087 25817924 27851004 34040116 38726886 48372202 51060174 58090329 72558303 76590261 77453772 96744404 102120348 116180658 145116606 153180522 217674909 232361316 266047111 290233212 306361044 435349818 532094222 798141333 870699636 1064188444 1596282666 2394423999 3192565332 3313495837 4788847998 6626991674 9577695996 9940487511 13253983348 19880975022 29821462533 36448454207 39761950044 59642925066 72896908414 109345362621 119285850132 145793816828 218690725242 328036087863 437381450484 656072175726 1312144351452