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1995042042 = 2337411091181
BaseRepresentation
bin111011011101001…
…1110110011111010
312011001000122012000
41312322132303322
513041212321132
6525544401430
7100303402050
oct16672366372
95131018160
101995042042
11934170684
12478176276
1325a42c766
1414cd681d0
15ba23387c
hex76e9ecfa

1995042042 has 128 divisors (see below), whose sum is σ = 5242406400. Its totient is φ = 550540800.

The previous prime is 1995042029. The next prime is 1995042053. The reversal of 1995042042 is 2402405991.

1995042042 is a `hidden beast` number, since 1 + 99 + 504 + 20 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1995041988 and 1995042006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1688692 + ... + 1689872.

It is an arithmetic number, because the mean of its divisors is an integer number (40956300).

Almost surely, 21995042042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1995042042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621203200).

1995042042 is an abundant number, since it is smaller than the sum of its proper divisors (3247364358).

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

1995042042 is a wasteful number, since it uses less digits than its factorization.

1995042042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1995042042 is about 44665.8934982835. The cubic root of 1995042042 is about 1258.8790824734.

The spelling of 1995042042 in words is "one billion, nine hundred ninety-five million, forty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 109 123 126 189 218 246 287 327 369 378 574 654 738 763 861 981 1107 1181 1526 1722 1962 2214 2289 2362 2583 2943 3543 4469 4578 5166 5886 6867 7086 7749 8267 8938 10629 13407 13734 15498 16534 20601 21258 24801 26814 31283 31887 40221 41202 48421 49602 62566 63774 74403 80442 93849 96842 120663 128729 145263 148806 187698 223209 241326 257458 281547 290526 338947 386187 435789 446418 563094 677894 772374 844641 871578 901103 1016841 1158561 1307367 1689282 1802206 2033682 2317122 2614734 2703309 3050523 3475683 5277889 5406618 6101046 6951366 8109927 9151569 10555778 15833667 16219854 18303138 24329781 31667334 36945223 47501001 48659562 73890446 95002002 110835669 142503003 221671338 285006006 332507007 665014014 997521021 1995042042