Search a number
-
+
1004305501242 = 2331091637104231
BaseRepresentation
bin11101001110101010100…
…01011100110000111010
310120000021202222112212000
432213111101130300322
5112423304202014432
62045212132201430
7132362424623541
oct16472521346072
93500252875760
101004305501242
11357a1830078a
12142783a69276
1373923293004
14368741a3158
151b1ce73557c
hexe9d545cc3a

1004305501242 has 64 divisors (see below), whose sum is σ = 2253662611200. Its totient is φ = 331491424320.

The previous prime is 1004305501237. The next prime is 1004305501273. The reversal of 1004305501242 is 2421055034001.

1004305501242 is a `hidden beast` number, since 100 + 4 + 3 + 0 + 550 + 1 + 2 + 4 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9583267 + ... + 9687497.

It is an arithmetic number, because the mean of its divisors is an integer number (35213478300).

Almost surely, 21004305501242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004305501242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126831305600).

1004305501242 is an abundant number, since it is smaller than the sum of its proper divisors (1249357109958).

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

1004305501242 is a wasteful number, since it uses less digits than its factorization.

1004305501242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105988 (or 105982 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1004305501242 in words is "one trillion, four billion, three hundred five million, five hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 109 218 327 654 981 1637 1962 2943 3274 4911 5886 9822 14733 29466 44199 88398 104231 178433 208462 312693 356866 535299 625386 938079 1070598 1605897 1876158 2814237 3211794 4817691 5628474 9635382 11361179 22722358 34083537 68167074 102250611 170626147 204501222 306751833 341252294 511878441 613503666 1023756882 1535635323 3071270646 4606905969 9213811938 18598250023 37196500046 55794750069 111589500138 167384250207 334768500414 502152750621 1004305501242