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30440233440 = 2532559358289
BaseRepresentation
bin11100010110011000…
…010001100111100000
32220120102200002010100
4130112120101213200
5444320144432230
621552315502400
72125223500161
oct342630214740
986512602110
1030440233440
1111a00799a21
125a96457a00
132b41652566
14168aac3768
15bd25d8660
hex7166119e0

30440233440 has 144 divisors (see below), whose sum is σ = 105638223600. Its totient is φ = 7979790336.

The previous prime is 30440233429. The next prime is 30440233451. The reversal of 30440233440 is 4433204403.

It is an interprime number because it is at equal distance from previous prime (30440233429) and next prime (30440233451).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94185 + ... + 264104.

It is an arithmetic number, because the mean of its divisors is an integer number (733598775).

Almost surely, 230440233440 is an apocalyptic number.

30440233440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30440233440 is an abundant number, since it is smaller than the sum of its proper divisors (75197990160).

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

30440233440 is a wasteful number, since it uses less digits than its factorization.

30440233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358369 (or 358358 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 30440233440 its reverse (4433204403), we get a palindrome (34873437843).

The spelling of 30440233440 in words is "thirty billion, four hundred forty million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 59 60 72 80 90 96 118 120 144 160 177 180 236 240 288 295 354 360 472 480 531 590 708 720 885 944 1062 1180 1416 1440 1770 1888 2124 2360 2655 2832 3540 4248 4720 5310 5664 7080 8496 9440 10620 14160 16992 21240 28320 42480 84960 358289 716578 1074867 1433156 1791445 2149734 2866312 3224601 3582890 4299468 5374335 5732624 6449202 7165780 8598936 10748670 11465248 12898404 14331560 16123005 17197872 21139051 21497340 25796808 28663120 32246010 34395744 42278102 42994680 51593616 57326240 63417153 64492020 84556204 85989360 103187232 105695255 126834306 128984040 169112408 171978720 190251459 211390510 253668612 257968080 317085765 338224816 380502918 422781020 507337224 515936160 634171530 676449632 761005836 845562040 951257295 1014674448 1268343060 1522011672 1691124080 1902514590 2029348896 2536686120 3044023344 3382248160 3805029180 5073372240 6088046688 7610058360 10146744480 15220116720 30440233440