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4060018404 = 2234131756701
BaseRepresentation
bin1111000111111110…
…1111011011100100
3101110221122022020000
43301333233123210
531303331042104
61510512141300
7202416405231
oct36177573344
911427568200
104060018404
1117a3857a12
12953837830
134c91a6b70
142a72d8788
1518b67d639
hexf1fef6e4

4060018404 has 120 divisors (see below), whose sum is σ = 12102701688. Its totient is φ = 1175731200.

The previous prime is 4060018367. The next prime is 4060018411. The reversal of 4060018404 is 4048100604.

4060018404 is a `hidden beast` number, since 4 + 0 + 600 + 18 + 40 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 667188900 + 3392829504 = 25830^2 + 58248^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43254 + ... + 99954.

Almost surely, 24060018404 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 4060018404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051350844).

4060018404 is an abundant number, since it is smaller than the sum of its proper divisors (8042683284).

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

4060018404 is a wasteful number, since it uses less digits than its factorization.

4060018404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56747 (or 56736 counting only the distinct ones).

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

The square root of 4060018404 is about 63718.2737054293. The cubic root of 4060018404 is about 1595.3011101345.

The spelling of 4060018404 in words is "four billion, sixty million, eighteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 306 324 351 442 459 468 612 663 702 884 918 1053 1326 1377 1404 1836 1989 2106 2652 2754 3978 4212 5508 5967 7956 11934 17901 23868 35802 56701 71604 113402 170103 226804 340206 510309 680412 737113 963917 1020618 1474226 1530927 1927834 2041236 2211339 2891751 2948452 3061854 3855668 4422678 4592781 5783502 6123708 6634017 8675253 8845356 9185562 11567004 12530921 13268034 17350506 18371124 19902051 25061842 26025759 26536068 34701012 37592763 39804102 50123684 52051518 59706153 75185526 78077277 79608204 104103036 112778289 119412306 150371052 156154554 225556578 238824612 312309108 338334867 451113156 676669734 1015004601 1353339468 2030009202 4060018404