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4140727704 = 23321011135039
BaseRepresentation
bin1111011011001110…
…0111110110011000
3101200120111202120100
43312303213312120
531440011241304
61522514055400
7204416414301
oct36663476630
911616452510
104140727704
111835373013
1297687a560
1350cb25049
142b3d077a8
151937c2439
hexf6ce7d98

4140727704 has 96 divisors (see below), whose sum is σ = 11427998400. Its totient is φ = 1354214400.

The previous prime is 4140727693. The next prime is 4140727709. The reversal of 4140727704 is 4077270414.

It is a super-2 number, since 2×41407277042 = 34291251837346223232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140727709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819217 + ... + 824255.

It is an arithmetic number, because the mean of its divisors is an integer number (119041650).

Almost surely, 24140727704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140727704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713999200).

4140727704 is an abundant number, since it is smaller than the sum of its proper divisors (7287270696).

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

4140727704 is a wasteful number, since it uses less digits than its factorization.

4140727704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 4140727704 is about 64348.4864157658. The cubic root of 4140727704 is about 1605.8028486909.

The spelling of 4140727704 in words is "four billion, one hundred forty million, seven hundred twenty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 113 202 226 303 339 404 452 606 678 808 904 909 1017 1212 1356 1818 2034 2424 2712 3636 4068 5039 7272 8136 10078 11413 15117 20156 22826 30234 34239 40312 45351 45652 60468 68478 90702 91304 102717 120936 136956 181404 205434 273912 362808 410868 508939 569407 821736 1017878 1138814 1526817 1708221 2035756 2277628 3053634 3416442 4071512 4555256 4580451 5124663 6107268 6832884 9160902 10249326 12214536 13665768 18321804 20498652 36643608 40997304 57510107 115020214 172530321 230040428 345060642 460080856 517590963 690121284 1035181926 1380242568 2070363852 4140727704