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4040222004 = 223571345677
BaseRepresentation
bin1111000011010000…
…1110010100110100
3101102120101112200000
43300310032110310
531233244101004
61504523551300
7202056214620
oct36064162464
911376345600
104040222004
111793666655
1294908b530
134c5065310
142a4824180
15189a6cc39
hexf0d0e534

4040222004 has 144 divisors (see below), whose sum is σ = 13035404928. Its totient is φ = 1065529728.

The previous prime is 4040221973. The next prime is 4040222009. The reversal of 4040222004 is 4002220404.

4040222004 is a `hidden beast` number, since 40 + 402 + 220 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040222009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65614 + ... + 111290.

Almost surely, 24040222004 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 4040222004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517702464).

4040222004 is an abundant number, since it is smaller than the sum of its proper divisors (8995182924).

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

4040222004 is a wasteful number, since it uses less digits than its factorization.

4040222004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45716 (or 45702 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4040222004 is about 63562.7406898098. The cubic root of 4040222004 is about 1592.7040211063.

Adding to 4040222004 its reverse (4002220404), we get a palindrome (8042442408).

The spelling of 4040222004 in words is "four billion, forty million, two hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4914 6318 6804 7371 9828 12636 14742 22113 29484 44226 45677 88452 91354 137031 182708 274062 319739 411093 548124 593801 639478 822186 959217 1187602 1233279 1278956 1644372 1781403 1918434 2375204 2466558 2877651 3562806 3699837 3836868 4156607 4933116 5344209 5755302 7125612 7399674 8313214 8632953 10688418 11099511 11510604 12469821 14799348 16032627 16626428 17265906 21376836 22199022 24939642 25898859 32065254 34531812 37409463 44398044 48097881 49879284 51797718 64130508 74818926 77696577 96195762 103595436 112228389 144293643 149637852 155393154 192391524 224456778 288587286 310786308 336685167 448913556 577174572 673370334 1010055501 1346740668 2020111002 4040222004