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30428615844 = 22341128812
BaseRepresentation
bin11100010101101011…
…111101010010100100
32220112121210211210000
4130111223331102210
5444304211201334
621551222501300
72125022652504
oct342553752244
986477724700
1030428615844
11119a5184500
125a92594830
132b3c115643
14168933ba04
15bd1591299
hex715afd4a4

30428615844 has 135 divisors (see below), whose sum is σ = 87534670993. Its totient is φ = 9210326400.

The previous prime is 30428615837. The next prime is 30428615879. The reversal of 30428615844 is 44851682403.

The square root of 30428615844 is 174438.

It is a perfect power (a square), and thus also a powerful number.

30428615844 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 8 + 61 + 584 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5338055844 + 25090560000 = 73062^2 + 158400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30428615844.

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 44 ways as a sum of consecutive naturals, for example, 34538284 + ... + 34539164.

Almost surely, 230428615844 is an apocalyptic number.

30428615844 is the 174438-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30428615844

30428615844 is an abundant number, since it is smaller than the sum of its proper divisors (57106055149).

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

30428615844 is an equidigital number, since it uses as much as digits as its factorization.

30428615844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 30428615844 in words is "thirty billion, four hundred twenty-eight million, six hundred fifteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 881 891 1089 1188 1452 1762 1782 2178 2643 3267 3524 3564 4356 5286 6534 7929 9691 9801 10572 13068 15858 19382 19602 23787 29073 31716 38764 39204 47574 58146 71361 87219 95148 106601 116292 142722 174438 213202 261657 285444 319803 348876 426404 523314 639606 776161 784971 959409 1046628 1279212 1552322 1569942 1918818 2328483 2878227 3104644 3139884 3837636 4656966 5756454 6985449 8537771 8634681 9313932 11512908 13970898 17075542 17269362 20956347 25613313 27941796 34151084 34538724 41912694 51226626 62869041 76839939 83825388 93915481 102453252 125738082 153679878 187830962 230519817 251476164 281746443 307359756 375661924 461039634 563492886 691559451 845239329 922079268 1126985772 1383118902 1690478658 2535717987 2766237804 3380957316 5071435974 7607153961 10142871948 15214307922 30428615844