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1004413141422 = 232172233982549
BaseRepresentation
bin11101001110110111011…
…00000100000110101110
310120000120021112020102100
432213123230010012232
5112424014231011142
62045230535235530
7132365202556365
oct16473354040656
93500507466370
101004413141422
11357a73040409
121427b3b18ba6
137393c680222
14368845c27dc
151b1d8de8b4c
hexe9dbb041ae

1004413141422 has 72 divisors (see below), whose sum is σ = 2312788491000. Its totient is φ = 314971469568.

The previous prime is 1004413141399. The next prime is 1004413141441. The reversal of 1004413141422 is 2241413144001.

1004413141422 is a `hidden beast` number, since 100 + 4 + 4 + 131 + 4 + 1 + 422 = 666.

It is a super-2 number, since 2×10044131414222 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12126204 + ... + 12208752.

It is an arithmetic number, because the mean of its divisors is an integer number (32122062375).

Almost surely, 21004413141422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004413141422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156394245500).

1004413141422 is an abundant number, since it is smaller than the sum of its proper divisors (1308375349578).

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

1004413141422 is a wasteful number, since it uses less digits than its factorization.

1004413141422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84930 (or 84910 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1004413141422 its reverse (2241413144001), we get a palindrome (3245826285423).

The spelling of 1004413141422 in words is "one trillion, four billion, four hundred thirteen million, one hundred forty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2339 2601 4678 5202 7017 14034 21051 39763 42102 79526 82549 119289 165098 238578 247647 357867 495294 675971 715734 742941 1351942 1403333 1485882 2027913 2806666 4055826 4209999 6083739 8419998 12167478 12629997 23856661 25259994 47713322 71569983 143139966 193082111 214709949 386164222 429419898 579246333 1158492666 1737738999 3282395887 3475477998 6564791774 9847187661 19694375322 29541562983 55800730079 59083125966 111601460158 167402190237 334804380474 502206570711 1004413141422