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4300313985 = 32511219197211
BaseRepresentation
bin1000000000101000…
…11001010110000001
3102002200210120210100
410000110121112001
532301340021420
61550414353013
7211365031362
oct40024312601
912080716710
104300313985
111907462600
12a001bb769
13536bcc3b6
142cb1a9b69
151a27e7190
hex100519581

4300313985 has 144 divisors (see below), whose sum is σ = 8709180480. Its totient is φ = 1955923200.

The previous prime is 4300313957. The next prime is 4300314019. The reversal of 4300313985 is 5893130034.

It is not a de Polignac number, because 4300313985 - 215 = 4300281217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20380530 + ... + 20380740.

It is an arithmetic number, because the mean of its divisors is an integer number (60480420).

Almost surely, 24300313985 is an apocalyptic number.

4300313985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4300313985 is an abundant number, since it is smaller than the sum of its proper divisors (4408866495).

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

4300313985 is a wasteful number, since it uses less digits than its factorization.

4300313985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4300313985 is about 65576.7793124975. The cubic root of 4300313985 is about 1626.1729106751.

The spelling of 4300313985 in words is "four billion, three hundred million, three hundred thirteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 121 165 171 197 209 211 285 363 495 591 605 627 633 855 985 1045 1055 1089 1773 1815 1881 1899 2167 2299 2321 2955 3135 3165 3743 4009 5445 6501 6897 6963 8865 9405 9495 10835 11229 11495 11605 12027 18715 19503 20045 20691 20889 23837 25531 32505 33687 34485 34815 36081 41173 41567 44099 56145 60135 71511 76593 97515 103455 104445 119185 123519 124701 127655 132297 168435 180405 205865 207835 214533 220495 229779 357555 370557 374103 382965 396891 452903 457237 485089 617595 623505 661485 789773 1072665 1148895 1358709 1371711 1455267 1852785 1870515 1984455 2264515 2286185 2369319 2425445 3948865 4076127 4115133 4365801 5029607 6793545 6858555 7107957 7276335 8687503 11846595 15088821 20380635 20575665 21829005 25148035 26062509 35539785 43437515 45266463 75444105 78187527 95562533 130312545 226332315 286687599 390937635 477812665 860062797 1433437995 4300313985