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424314234030 = 2351011371636271
BaseRepresentation
bin1100010110010110001…
…10010110010010101110
31111120020012002102202010
412023023012112102232
523422443420442110
6522532142342050
742440621323461
oct6131306262256
91446205072663
10424314234030
11153a50361295
126a299b8a926
1331021a7a27b
14167734392d8
15b0862ab020
hex62cb1964ae

424314234030 has 128 divisors (see below), whose sum is σ = 1042465406976. Its totient is φ = 110512512000.

The previous prime is 424314234017. The next prime is 424314234031. The reversal of 424314234030 is 30432413424.

It is a happy number.

It is a super-2 number, since 2×4243142340302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424314234031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67659795 + ... + 67666065.

It is an arithmetic number, because the mean of its divisors is an integer number (8144260992).

Almost surely, 2424314234030 is an apocalyptic number.

424314234030 is an abundant number, since it is smaller than the sum of its proper divisors (618151172946).

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

424314234030 is a wasteful number, since it uses less digits than its factorization.

424314234030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 424314234030 its reverse (30432413424), we get a palindrome (454746647454).

The spelling of 424314234030 in words is "four hundred twenty-four billion, three hundred fourteen million, two hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 101 137 163 202 274 303 326 411 489 505 606 685 815 822 978 1010 1370 1515 1630 2055 2445 3030 4110 4890 6271 12542 13837 16463 18813 22331 27674 31355 32926 37626 41511 44662 49389 62710 66993 69185 82315 83022 94065 98778 111655 133986 138370 164630 188130 207555 223310 246945 334965 415110 493890 633371 669930 859127 1022173 1266742 1718254 1900113 2044346 2255431 2577381 3066519 3166855 3800226 4295635 4510862 5110865 5154762 6133038 6333710 6766293 8591270 9500565 10221730 11277155 12886905 13532586 15332595 19001130 22554310 25773810 30665190 33831465 67662930 86771827 103239473 140037701 173543654 206478946 260315481 280075402 309718419 420113103 433859135 516197365 520630962 619436838 700188505 840226206 867718270 1032394730 1301577405 1400377010 1548592095 2100565515 2603154810 3097184190 4201131030 14143807801 28287615602 42431423403 70719039005 84862846806 141438078010 212157117015 424314234030