Search a number
-
+
1004005441212 = 223157532911593
BaseRepresentation
bin11101001110000110110…
…00110011111010111100
310112222111212100220212120
432213003120303322330
5112422200343104322
62045122253002540
7132352122304134
oct16470330637274
93488455326776
101004005441212
11357883996194
121426bb483450
13738a6073ab7
14368463b5ac4
151b1b3213a5c
hexe9c3633ebc

1004005441212 has 24 divisors (see below), whose sum is σ = 2357600891856. Its totient is φ = 332536833408.

The previous prime is 1004005441211. The next prime is 1004005441277. The reversal of 1004005441212 is 2121445004001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004005441211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266453913 + ... + 266457680.

It is an arithmetic number, because the mean of its divisors is an integer number (98233370494).

Almost surely, 21004005441212 is an apocalyptic number.

1004005441212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004005441212 is an abundant number, since it is smaller than the sum of its proper divisors (1353595450644).

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

1004005441212 is a wasteful number, since it uses less digits than its factorization.

1004005441212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532911757 (or 532911755 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 1004005441212 in words is "one trillion, four billion, five million, four hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 157 314 471 628 942 1884 532911593 1065823186 1598734779 2131646372 3197469558 6394939116 83667120101 167334240202 251001360303 334668480404 502002720606 1004005441212