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1000034040440 = 235241868911939
BaseRepresentation
bin11101000110101101010…
…11000111101001111000
310112121021002110212012002
432203112223013221320
5112341032203243230
62043224224040132
7132151530043211
oct16432653075170
93477232425162
101000034040440
11356126165a96
12141991463048
13733c2356906
143658ab88408
151b02e73c545
hexe8d6ac7a78

1000034040440 has 64 divisors (see below), whose sum is σ = 2259862308000. Its totient is φ = 398274600960.

The previous prime is 1000034040427. The next prime is 1000034040449. The reversal of 1000034040440 is 440404300001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000034040449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83755991 + ... + 83767929.

Almost surely, 21000034040440 is an apocalyptic number.

1000034040440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000034040440 is an abundant number, since it is smaller than the sum of its proper divisors (1259828267560).

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

1000034040440 is a wasteful number, since it uses less digits than its factorization.

1000034040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20880 (or 20876 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1000034040440 its reverse (440404300001), we get a palindrome (1440438340441).

The spelling of 1000034040440 in words is "one trillion, thirty-four million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1205 1928 2410 4820 8689 9640 11939 17378 23878 34756 43445 47756 59695 69512 86890 95512 119390 173780 238780 347560 477560 2094049 2877299 4188098 5754598 8376196 10470245 11509196 14386495 16752392 20940490 23018392 28772990 41880980 57545980 83761960 103737971 115091960 207475942 414951884 518689855 829903768 1037379710 2074759420 4149518840 25000851011 50001702022 100003404044 125004255055 200006808088 250008510110 500017020220 1000034040440