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4004112204 = 223517443547
BaseRepresentation
bin1110111010101001…
…1110011101001100
3101100001102222100000
43232222132131030
531200023042304
61501154004300
7201140251341
oct35652363514
911301388300
104004112204
111775242844
12938b76690
134ba731381
1429db047c8
151867d8939
hexeea9e74c

4004112204 has 144 divisors (see below), whose sum is σ = 11159261568. Its totient is φ = 1251065088.

The previous prime is 4004112181. The next prime is 4004112239. The reversal of 4004112204 is 4022114004.

4004112204 is a `hidden beast` number, since 400 + 41 + 1 + 220 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7319859 + ... + 7320405.

It is an arithmetic number, because the mean of its divisors is an integer number (77494872).

Almost surely, 24004112204 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 4004112204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579630784).

4004112204 is an abundant number, since it is smaller than the sum of its proper divisors (7155149364).

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

4004112204 is a wasteful number, since it uses less digits than its factorization.

4004112204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4004112204 is about 63278.0546793278. The cubic root of 4004112204 is about 1587.9448420757.

Adding to 4004112204 its reverse (4022114004), we get a palindrome (8026226208).

The spelling of 4004112204 in words is "four billion, four million, one hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 443 459 486 547 612 886 918 972 1094 1329 1377 1641 1772 1836 2188 2658 2754 3282 3987 4131 4923 5316 5508 6564 7531 7974 8262 9299 9846 11961 14769 15062 15948 16524 18598 19692 22593 23922 27897 29538 30124 35883 37196 44307 45186 47844 55794 59076 67779 71766 83691 88614 90372 107649 111588 132921 135558 143532 167382 177228 203337 215298 242321 251073 265842 271116 334764 406674 430596 484642 502146 531684 610011 726963 753219 813348 969284 1004292 1220022 1453926 1506438 1830033 2180889 2259657 2440044 2907852 3012876 3660066 4119457 4361778 4519314 6542667 7320132 8238914 8723556 9038628 12358371 13085334 16477828 19628001 24716742 26170668 37075113 39256002 49433484 58884003 74150226 78512004 111225339 117768006 148300452 222450678 235536012 333676017 444901356 667352034 1001028051 1334704068 2002056102 4004112204