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11412632340 = 22325192175633
BaseRepresentation
bin10101010000011111…
…01111001100010100
31002110100212210101200
422220033233030110
5141333113213330
65124244152500
7552546526404
oct125017571424
932410783350
1011412632340
11492715165a
122266098730
1310cb56c9b5
147a3a02804
1546bdeaa60
hex2a83ef314

11412632340 has 108 divisors (see below), whose sum is σ = 36536438484. Its totient is φ = 2883174912.

The previous prime is 11412632333. The next prime is 11412632347. The reversal of 11412632340 is 4323621411.

It is a happy number.

11412632340 is a `hidden beast` number, since 1 + 14 + 12 + 632 + 3 + 4 + 0 = 666.

11412632340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11412632333) and next prime (11412632347).

It can be written as a sum of positive squares in 2 ways, for example, as 3945598596 + 7467033744 = 62814^2 + 86412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412632347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22837 + ... + 152796.

Almost surely, 211412632340 is an apocalyptic number.

11412632340 is a gapful number since it is divisible by the number (10) 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 11412632340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18268219242).

11412632340 is an abundant number, since it is smaller than the sum of its proper divisors (25123806144).

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

11412632340 is a wasteful number, since it uses less digits than its factorization.

11412632340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175686 (or 175662 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 11412632340 in words is "eleven billion, four hundred twelve million, six hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 361 380 570 684 722 855 1083 1140 1444 1710 1805 2166 3249 3420 3610 4332 5415 6498 7220 10830 12996 16245 21660 32490 64980 175633 351266 526899 702532 878165 1053798 1580697 1756330 2107596 2634495 3161394 3337027 3512660 5268990 6322788 6674054 7903485 10011081 10537980 13348108 15806970 16685135 20022162 30033243 31613940 33370270 40044324 50055405 60066486 63403513 66740540 100110810 120132972 126807026 150166215 190210539 200221620 253614052 300332430 317017565 380421078 570631617 600664860 634035130 760842156 951052695 1141263234 1268070260 1902105390 2282526468 2853158085 3804210780 5706316170 11412632340