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2114034366330 = 2325291018019553
BaseRepresentation
bin11110110000110110010…
…001000111011101111010
321111002200200121212112100
4132300312101013131322
5234114020244210310
64255101325124230
7305506512424335
oct36606621073572
97432620555470
102114034366330
11745614318047
122a18699b9676
13124477826193
14744697b161c
1539ece387ec0
hex1ec3644777a

2114034366330 has 96 divisors (see below), whose sum is σ = 5742321446160. Its totient is φ = 538913894400.

The previous prime is 2114034366319. The next prime is 2114034366343. The reversal of 2114034366330 is 336634304112.

2114034366330 is a `hidden beast` number, since 2 + 1 + 14 + 0 + 3 + 4 + 3 + 6 + 633 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1943038057041 + 170996309289 = 1393929^2 + 413517^2 .

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, 3746167 + ... + 4273386.

Almost surely, 22114034366330 is an apocalyptic number.

2114034366330 is an abundant number, since it is smaller than the sum of its proper divisors (3628287079830).

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

2114034366330 is a wasteful number, since it uses less digits than its factorization.

2114034366330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8019696 (or 8019693 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 2114034366330 in words is "two trillion, one hundred fourteen billion, thirty-four million, three hundred sixty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 101 145 174 202 261 290 303 435 505 522 606 870 909 1010 1305 1515 1818 2610 2929 3030 4545 5858 8787 9090 14645 17574 26361 29290 43935 52722 87870 131805 263610 8019553 16039106 24058659 40097765 48117318 72175977 80195530 120293295 144351954 232567037 240586590 360879885 465134074 697701111 721759770 809974853 1162835185 1395402222 1619949706 2093103333 2325670370 2429924559 3488505555 4049874265 4186206666 4859849118 6977011110 7289773677 8099748530 10465516665 12149622795 14579547354 20931033330 23489270737 24299245590 36448868385 46978541474 70467812211 72897736770 117446353685 140935624422 211403436633 234892707370 352339061055 422806873266 704678122110 1057017183165 2114034366330