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4040673741 = 351319232927
BaseRepresentation
bin1111000011010111…
…1100100111001101
3101102121020111100000
43300311330213031
531233403024431
61504541354513
7202063105626
oct36065744715
911377214300
104040673741
111793944a95
12949268a39
134c5192b10
142a4900a4d
15189b0b9e6
hexf0d7c9cd

4040673741 has 96 divisors (see below), whose sum is σ = 7162122240. Its totient is φ = 2252505024.

The previous prime is 4040673739. The next prime is 4040673797. The reversal of 4040673741 is 1473760404.

It is a happy number.

It is not a de Polignac number, because 4040673741 - 21 = 4040673739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4040673696 and 4040673705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040663741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1379020 + ... + 1381946.

It is an arithmetic number, because the mean of its divisors is an integer number (74605440).

Almost surely, 24040673741 is an apocalyptic number.

It is an amenable number.

4040673741 is a deficient number, since it is larger than the sum of its proper divisors (3121448499).

4040673741 is a wasteful number, since it uses less digits than its factorization.

4040673741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4040673741 is about 63566.2940637568. The cubic root of 4040673741 is about 1592.7633789437.

The spelling of 4040673741 in words is "four billion, forty million, six hundred seventy-three thousand, seven hundred forty-one".

Divisors: 1 3 9 13 19 23 27 39 57 69 81 117 171 207 243 247 299 351 437 513 621 741 897 1053 1311 1539 1863 2223 2691 2927 3159 3933 4617 5589 5681 6669 8073 8781 11799 17043 20007 24219 26343 35397 38051 51129 55613 60021 67321 72657 79029 106191 114153 153387 166839 201963 237087 342459 460161 500517 605889 711261 722969 875173 1027377 1279099 1380483 1501551 1817667 2168907 2625519 3082131 3837297 4504653 5453001 6506721 7876557 9246393 11511891 13513959 16359003 16628287 19520163 23629671 34535673 49884861 58560489 70889013 103607019 149654583 175681467 212667039 310821057 448963749 1346891247 4040673741