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4004030030 = 25711132691487
BaseRepresentation
bin1110111010101000…
…1010011001001110
3101100001021210121112
43232222022121032
531200012430110
61501152132022
7201136456640
oct35652123116
911301253545
104004030030
111775197030
12938b37012
134ba702b50
1429dac2890
151867be405
hexeea8a64e

4004030030 has 128 divisors (see below), whose sum is σ = 9719377920. Its totient is φ = 1146954240.

The previous prime is 4004030027. The next prime is 4004030039. The reversal of 4004030030 is 300304004.

It is a super-2 number, since 2×40040300302 = 32064512962283601800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4004029987 and 4004030014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004030039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2691947 + ... + 2693433.

It is an arithmetic number, because the mean of its divisors is an integer number (75932640).

Almost surely, 24004030030 is an apocalyptic number.

4004030030 is an abundant number, since it is smaller than the sum of its proper divisors (5715347890).

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

4004030030 is a wasteful number, since it uses less digits than its factorization.

4004030030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794.

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 4004030030 is about 63277.4053671609. The cubic root of 4004030030 is about 1587.9339791873.

Adding to 4004030030 its reverse (300304004), we get a palindrome (4304334034).

The spelling of 4004030030 in words is "four billion, four million, thirty thousand, thirty", and thus it is an eban number.

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 269 286 385 455 538 715 770 910 1001 1345 1430 1487 1883 2002 2690 2959 2974 3497 3766 5005 5918 6994 7435 9415 10010 10409 14795 14870 16357 17485 18830 19331 20713 20818 24479 29590 32714 34970 38467 38662 41426 48958 52045 76934 81785 96655 103565 104090 114499 122395 135317 163570 192335 193310 207130 212641 228998 244790 269269 270634 384670 400003 425282 538538 572495 676585 800006 1063205 1144990 1346345 1353170 1488487 2000015 2126410 2692690 2800021 2976974 4000030 4400033 5200039 5600042 7442435 8800066 10400078 14000105 14884870 22000165 26000195 28000210 30800231 36400273 44000330 52000390 57200429 61600462 72800546 114400858 154001155 182001365 286002145 308002310 364002730 400403003 572004290 800806006 2002015015 4004030030