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1040133347442 = 2327103107749027
BaseRepresentation
bin11110010001011001100…
…01110101100001110010
310200102202200101201021200
433020230301311201302
5114020143114104232
62113455231232030
7135101321401620
oct17105461654162
93612680351250
101040133347442
11371133181932
12149702678616
1377112b693c7
14384b2606510
151c0c9cdd77c
hexf22cc75872

1040133347442 has 96 divisors (see below), whose sum is σ = 2624881738752. Its totient is φ = 291544888032.

The previous prime is 1040133347423. The next prime is 1040133347443. The reversal of 1040133347442 is 2447433310401.

1040133347442 is a `hidden beast` number, since 1 + 0 + 40 + 133 + 3 + 47 + 442 = 666.

1040133347442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1040133347397 and 1040133347406.

It is not an unprimeable number, because it can be changed into a prime (1040133347443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014133 + ... + 1763159.

It is an arithmetic number, because the mean of its divisors is an integer number (27342518112).

Almost surely, 21040133347442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040133347442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312440869376).

1040133347442 is an abundant number, since it is smaller than the sum of its proper divisors (1584748391310).

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

1040133347442 is a wasteful number, since it uses less digits than its factorization.

1040133347442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749252 (or 749249 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 1040133347442 its reverse (2447433310401), we get a palindrome (3487566657843).

The spelling of 1040133347442 in words is "one trillion, forty billion, one hundred thirty-three million, three hundred forty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 103 107 126 206 214 309 321 618 642 721 749 927 963 1442 1498 1854 1926 2163 2247 4326 4494 6489 6741 11021 12978 13482 22042 33063 66126 77147 99189 154294 198378 231441 462882 694323 749027 1388646 1498054 2247081 4494162 5243189 6741243 10486378 13482486 15729567 31459134 47188701 77149781 80145889 94377402 154299562 160291778 231449343 240437667 462898686 480875334 540048467 561021223 694348029 721313001 1080096934 1122042446 1388696058 1442626002 1620145401 1683063669 3240290802 3366127338 4860436203 5049191007 8255026567 9720872406 10098382014 16510053134 24765079701 49530159402 57785185969 74295239103 115570371938 148590478206 173355557907 346711115814 520066673721 1040133347442