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30012263939025 = 345253222972
BaseRepresentation
bin1101101001011110001100…
…10101001011101111010001
310221021010220021110102010000
412310233012111023233101
512413210104032022100
6143455235502000213
76215212610221404
oct664570625135721
9127233807412100
1030012263939025
119621147636a55
1234486b2576069
1313991b5186bc4
1475a85c071d3b
15370a4b7d3900
hex1b4bc654bbd1

30012263939025 has 135 divisors (see below), whose sum is σ = 56686483144291. Its totient is φ = 15697693589760.

The previous prime is 30012263939003. The next prime is 30012263939039. The reversal of 30012263939025 is 52093936221003.

It is a happy number.

The square root of 30012263939025 is 5478345.

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

30012263939025 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 2 + 2 + 639 + 3 + 9 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 13298034342609 + 16714229596416 = 3646647^2 + 4088304^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 30012263939025 - 219 = 30012263414737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13065851677 + ... + 13065853973.

Almost surely, 230012263939025 is an apocalyptic number.

30012263939025 is the 5478345-th square number.

30012263939025 is the 2739173-rd centered octagonal number.

It is an amenable number.

30012263939025 is a deficient number, since it is larger than the sum of its proper divisors (26674219205266).

30012263939025 is an frugal number, since it uses more digits than its factorization.

30012263939025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 30012263939025 in words is "thirty trillion, twelve billion, two hundred sixty-three million, nine hundred thirty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 53 75 81 135 159 225 265 405 477 675 795 1325 1431 2025 2297 2385 2809 3975 4293 6891 7155 8427 11485 11925 14045 20673 21465 25281 34455 35775 42135 57425 62019 70225 75843 103365 107325 121741 126405 172275 186057 210675 227529 310095 365223 379215 516825 608705 632025 930285 1095669 1137645 1550475 1826115 1896075 3043525 3287007 4651425 5276209 5478345 5688225 6452273 9130575 9861021 15828627 16435035 19356819 26381045 27391725 32261365 47485881 49305105 58070457 79143135 82175175 96784095 131905225 142457643 161306825 174211371 237429405 246525525 279639077 290352285 395715675 427372929 483920475 522634113 712288215 838917231 871056855 1187147025 1398195385 1451761425 2136864645 2516751693 2613170565 3561441075 4194586155 4355284275 6990976925 7550255079 10684323225 12583758465 13065852825 14820871081 20972930775 22650765237 37751275395 44462613243 62918792325 74104355405 113253826185 133387839729 188756376975 222313066215 370521777025 400163519187 566269130925 666939198645 1111565331075 1200490557561 2000817595935 3334695993225 6002452787805 10004087979675 30012263939025