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1040223145212 = 22352989414641
BaseRepresentation
bin11110010001100100010…
…00011000110011111100
310200102222221100220200000
433020302020120303330
5114020334111121322
62113512200034300
7135103461562656
oct17106210306374
93612887326600
101040223145212
11371179935269
12149728762990
137712864a294
14384c04dd6d6
151c0d2b2a3ac
hexf232218cfc

1040223145212 has 144 divisors (see below), whose sum is σ = 2852571103200. Its totient is φ = 331022039040.

The previous prime is 1040223145189. The next prime is 1040223145217. The reversal of 1040223145212 is 2125413220401.

1040223145212 is a `hidden beast` number, since 1 + 0 + 402 + 2 + 3 + 1 + 45 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040223145217) 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, 2301412 + ... + 2716052.

It is an arithmetic number, because the mean of its divisors is an integer number (19809521550).

Almost surely, 21040223145212 is an apocalyptic number.

1040223145212 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 1040223145212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426285551600).

1040223145212 is an abundant number, since it is smaller than the sum of its proper divisors (1812347957988).

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

1040223145212 is a wasteful number, since it uses less digits than its factorization.

1040223145212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414778 (or 414764 counting only the distinct ones).

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

Adding to 1040223145212 its reverse (2125413220401), we get a palindrome (3165636365613).

The spelling of 1040223145212 in words is "one trillion, forty billion, two hundred twenty-three million, one hundred forty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 89 108 116 162 174 178 243 261 267 324 348 356 486 522 534 783 801 972 1044 1068 1566 1602 2349 2403 2581 3132 3204 4698 4806 5162 7047 7209 7743 9396 9612 10324 14094 14418 15486 21627 23229 28188 28836 30972 43254 46458 69687 86508 92916 139374 209061 278748 414641 418122 627183 829282 836244 1243923 1254366 1658564 2487846 2508732 3731769 4975692 7463538 11195307 12024589 14927076 22390614 24049178 33585921 36073767 36903049 44781228 48098356 67171842 72147534 73806098 100757763 108221301 110709147 134343684 144295068 147612196 201515526 216442602 221418294 324663903 332127441 403031052 432885204 442836588 649327806 664254882 973991709 996382323 1070188421 1298655612 1328509764 1947983418 1992764646 2140376842 2921975127 2989146969 3210565263 3895966836 3985529292 4280753684 5843950254 5978293938 6421130526 8967440907 9631695789 11687900508 11956587876 12842261052 17934881814 19263391578 28895087367 35869763628 38526783156 57790174734 86685262101 115580349468 173370524202 260055786303 346741048404 520111572606 1040223145212