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4304030214304 = 251923229461443
BaseRepresentation
bin111110101000011100001…
…100010010100010100000
3120020110110021011211100201
4332220130030102202200
51031004123213324204
613053124424354544
7622645611122422
oct76503414224240
916213407154321
104304030214304
11140a368939597
12596197015a54
13252b39897422
1410c45d81c812
1576e573ab9a4
hex3ea1c3128a0

4304030214304 has 144 divisors (see below), whose sum is σ = 9645748509600. Its totient is φ = 1882860553728.

The previous prime is 4304030214251. The next prime is 4304030214313. The reversal of 4304030214304 is 4034120304034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9096607 + ... + 9558049.

It is an arithmetic number, because the mean of its divisors is an integer number (66984364650).

Almost surely, 24304030214304 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 4304030214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822874254800).

4304030214304 is an abundant number, since it is smaller than the sum of its proper divisors (5341718295296).

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

4304030214304 is a wasteful number, since it uses less digits than its factorization.

4304030214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461547 (or 461516 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4304030214304 its reverse (4034120304034), we get a palindrome (8338150518338).

The spelling of 4304030214304 in words is "four trillion, three hundred four billion, thirty million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 19 23 29 32 38 46 58 76 92 116 152 184 232 304 368 437 464 529 551 608 667 736 874 928 1058 1102 1334 1748 2116 2204 2668 3496 4232 4408 5336 6992 8464 8816 10051 10672 12673 13984 15341 16928 17632 20102 21344 25346 30682 40204 50692 61364 80408 101384 122728 160816 202768 245456 291479 321632 405536 461443 490912 582958 922886 1165916 1845772 2331832 3691544 4663664 7383088 8767417 9327328 10613189 13381847 14766176 17534834 21226378 26763694 35069668 42452756 53527388 70139336 84905512 107054776 140278672 169811024 201650591 214109552 244103347 254255093 280557344 307782481 339622048 403301182 428219104 488206694 508510186 615564962 806602364 976413388 1017020372 1231129924 1613204728 1952826776 2034040744 2462259848 3226409456 3905653552 4068081488 4637963593 4924519696 5847867139 6452818912 7078997063 7811307104 8136162976 9275927186 9849039392 11695734278 14157994126 18551854372 23391468556 28315988252 37103708744 46782937112 56631976504 74207417488 93565874224 113263953008 134500944197 148414834976 187131748448 226527906016 269001888394 538003776788 1076007553576 2152015107152 4304030214304