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1040024412234 = 2321743739106957
BaseRepresentation
bin11110010001001100100…
…10010010000001001010
310200102111002102020021100
433020212102102001022
5114014432222142414
62113440340322230
7135065526433353
oct17104622220112
93612432366240
101040024412234
11371087738235
121496920a3376
13770c64178c2
14384a1d6ad2a
151c0c0471609
hexf22649204a

1040024412234 has 96 divisors (see below), whose sum is σ = 2444751840960. Its totient is φ = 318259984896.

The previous prime is 1040024412227. The next prime is 1040024412253. The reversal of 1040024412234 is 4322144200401.

1040024412234 is a `hidden beast` number, since 1 + 0 + 400 + 24 + 4 + 1 + 2 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1040024412198 and 1040024412207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9670284 + ... + 9777240.

It is an arithmetic number, because the mean of its divisors is an integer number (25466165010).

Almost surely, 21040024412234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040024412234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222375920480).

1040024412234 is an abundant number, since it is smaller than the sum of its proper divisors (1404727428726).

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

1040024412234 is a wasteful number, since it uses less digits than its factorization.

1040024412234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107764 (or 107761 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1040024412234 its reverse (4322144200401), we get a palindrome (5362168612635).

The spelling of 1040024412234 in words is "one trillion, forty billion, twenty-four million, four hundred twelve thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 739 774 1462 1478 2193 2217 4386 4434 6579 6651 12563 13158 13302 25126 31777 37689 63554 75378 95331 106957 113067 190662 213914 226134 285993 320871 540209 571986 641742 962613 1080418 1620627 1818269 1925226 3241254 3636538 4599151 4861881 5454807 9198302 9723762 10909614 13797453 16364421 27594906 32728842 41392359 78185567 79041223 82784718 156371134 158082446 234556701 237123669 469113402 474247338 703670103 711371007 1343700791 1407340206 1422742014 2687401582 3398772589 4031102373 6797545178 8062204746 10196317767 12093307119 20392635534 24186614238 30588953301 57779134013 61177906602 115558268026 173337402039 346674804078 520012206117 1040024412234