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3000166440460 = 225728347337793
BaseRepresentation
bin101011101010000111110…
…110101101111000001100
3101121210221202110022211121
4223222013312231320030
5343123320102043320
610214131334530324
7426516630656200
oct53520766557014
911553852408747
103000166440460
11a573aa817982
124055518069a4
13189bb7166c97
14a52cd060b00
155309416e8aa
hex2ba87dade0c

3000166440460 has 144 divisors (see below), whose sum is σ = 7419798088416. Its totient is φ = 1015890290688.

The previous prime is 3000166440437. The next prime is 3000166440517. The reversal of 3000166440460 is 640446610003.

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, 384978324 + ... + 384986116.

It is an arithmetic number, because the mean of its divisors is an integer number (51526375614).

Almost surely, 23000166440460 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 3000166440460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709899044208).

3000166440460 is an abundant number, since it is smaller than the sum of its proper divisors (4419631647956).

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

3000166440460 is a wasteful number, since it uses less digits than its factorization.

3000166440460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12632 (or 12623 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

It can be divided in two parts, 300016 and 6440460, that added together give a palindrome (6740476).

The spelling of 3000166440460 in words is "three trillion, one hundred sixty-six million, four hundred forty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 83 98 140 166 196 245 332 415 490 581 830 980 1162 1660 2324 2905 4067 4733 5810 7793 8134 9466 11620 15586 16268 18932 20335 23665 31172 33131 38965 40670 47330 54551 66262 77930 81340 94660 109102 132524 155860 165655 218204 231917 272755 331310 381857 392839 463834 545510 646819 662620 763714 785678 927668 1091020 1159585 1293638 1527428 1571356 1909285 1964195 2319170 2587276 2749873 3234095 3818570 3928390 4527733 4638340 5499746 6468190 7637140 7856780 9055466 10999492 12936380 13749365 18110932 19249111 22638665 27498730 31694131 36884269 38498222 45277330 54997460 63388262 73768538 76996444 90554660 96245555 126776524 147537076 158470655 184421345 192491110 258189883 316941310 368842690 384982220 516379766 633882620 737685380 1032759532 1290949415 1807329181 2581898830 3061394327 3614658362 5163797660 6122788654 7229316724 9036645905 12245577308 15306971635 18073291810 21429760289 30613943270 36146583620 42859520578 61227886540 85719041156 107148801445 150008322023 214297602890 300016644046 428595205780 600033288092 750041610115 1500083220230 3000166440460