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30840233088 = 27373234149
BaseRepresentation
bin11100101110001110…
…001001110010000000
32221121022100011111010
4130232032021302000
51001130044424323
622100125120520
72141151441000
oct345616116200
987538304433
1030840233088
1112096564645
125b883b9140
132ba6493942
1416c7c88000
15c0779bc93
hex72e389c80

30840233088 has 128 divisors (see below), whose sum is σ = 95533200000. Its totient is φ = 8811457536.

The previous prime is 30840233071. The next prime is 30840233093. The reversal of 30840233088 is 88033204803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×308402330882 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14638 + ... + 248786.

It is an arithmetic number, because the mean of its divisors is an integer number (746353125).

Almost surely, 230840233088 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 30840233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47766600000).

30840233088 is an abundant number, since it is smaller than the sum of its proper divisors (64692966912).

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

30840233088 is an equidigital number, since it uses as much as digits as its factorization.

30840233088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234187 (or 234161 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 30840233088 in words is "thirty billion, eight hundred forty million, two hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 784 896 1029 1176 1344 1372 1568 2058 2352 2688 2744 3136 4116 4704 5488 6272 8232 9408 10976 16464 18816 21952 32928 43904 65856 131712 234149 468298 702447 936596 1404894 1639043 1873192 2809788 3278086 3746384 4917129 5619576 6556172 7492768 9834258 11239152 11473301 13112344 14985536 19668516 22478304 22946602 26224688 29971072 34419903 39337032 44956608 45893204 52449376 68839806 78674064 80313107 89913216 91786408 104898752 137679612 157348128 160626214 183572816 209797504 240939321 275359224 314696256 321252428 367145632 481878642 550718448 629392512 642504856 734291264 963757284 1101436896 1285009712 1468582528 1927514568 2202873792 2570019424 3855029136 4405747584 5140038848 7710058272 10280077696 15420116544 30840233088