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3000028857444 = 22321737577229613
BaseRepresentation
bin101011101001111111101…
…001111000010001100100
3101121210121011120101102100
4223221333221320101210
5343123024341414234
610214105542012100
7426513340353423
oct53517751702144
911553534511370
103000028857444
11a5733a096803
12405513717030
13189b947c4b08
14a52b8a892ba
1553087044399
hex2ba7fa78464

3000028857444 has 144 divisors (see below), whose sum is σ = 8260830225648. Its totient is φ = 914157010944.

The previous prime is 3000028857421. The next prime is 3000028857451. The reversal of 3000028857444 is 4447588200003.

It is a happy number.

3000028857444 is a `hidden beast` number, since 30 + 0 + 0 + 0 + 2 + 8 + 8 + 574 + 44 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1028475883044 + 1971552974400 = 1014138^2 + 1404120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3000028857444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12950782 + ... + 13180394.

It is an arithmetic number, because the mean of its divisors is an integer number (57366876567).

Almost surely, 23000028857444 is an apocalyptic number.

3000028857444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000028857444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130415112824).

3000028857444 is an abundant number, since it is smaller than the sum of its proper divisors (5260801368204).

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

3000028857444 is a wasteful number, since it uses less digits than its factorization.

3000028857444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230254 (or 230249 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 3000028857444 in words is "three trillion, twenty-eight million, eight hundred fifty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 577 612 629 666 1154 1258 1332 1731 1887 2308 2516 3462 3774 5193 5661 6924 7548 9809 10386 11322 19618 20772 21349 22644 29427 39236 42698 58854 64047 85396 88281 117708 128094 176562 192141 229613 256188 353124 362933 384282 459226 688839 725866 768564 918452 1088799 1377678 1451732 2066517 2177598 2755356 3266397 3903421 4133034 4355196 6532794 7806842 8266068 8495681 11710263 13065588 15613684 16991362 23420526 25487043 33982724 35130789 46841052 50974086 70261578 76461129 101948172 132486701 140523156 144426577 152922258 264973402 288853154 305844516 397460103 433279731 529946804 577706308 794920206 866559462 1192380309 1299839193 1589840412 1733118924 2252273917 2384760618 2599678386 4504547834 4769521236 4902007937 5199356772 6756821751 9009095668 9804015874 13513643502 14706023811 19608031748 20270465253 27027287004 29412047622 40540930506 44118071433 58824095244 81081861012 83334134929 88236142866 166668269858 176472285732 250002404787 333336539716 500004809574 750007214361 1000009619148 1500014428722 3000028857444