Search a number
-
+
1000434213044 = 227244311522023
BaseRepresentation
bin11101000111011101000…
…01101010000010110100
310112122021222110201210122
432203232201222002310
5112342342124304134
62043332041111112
7132164456334200
oct16435641520264
93478258421718
101000434213044
11356311039652
12141a83488498
1373457228936
14365c7d95b00
151b05493702e
hexe8ee86a0b4

1000434213044 has 36 divisors (see below), whose sum is σ = 2041195683744. Its totient is φ = 427789632816.

The previous prime is 1000434213019. The next prime is 1000434213061. The reversal of 1000434213044 is 4403124340001.

It is a super-2 number, since 2×10004342130442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5674184 + ... + 5847839.

It is an arithmetic number, because the mean of its divisors is an integer number (56699880104).

Almost surely, 21000434213044 is an apocalyptic number.

1000434213044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1000434213044 is an abundant number, since it is smaller than the sum of its proper divisors (1040761470700).

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

1000434213044 is a wasteful number, since it uses less digits than its factorization.

1000434213044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11522484 (or 11522475 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1000434213044 its reverse (4403124340001), we get a palindrome (5403558553045).

The spelling of 1000434213044 in words is "one trillion, four hundred thirty-four million, two hundred thirteen thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 443 886 1772 3101 6202 12404 21707 43414 86828 11522023 23044046 46088092 80654161 161308322 322616644 564579127 1129158254 2258316508 5104256189 10208512378 20417024756 35729793323 71459586646 142919173292 250108553261 500217106522 1000434213044