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424215333344 = 25112397540187
BaseRepresentation
bin1100010110001010011…
…01000100100111100000
31111112222021222202111202
412023011031010213200
523422243111131334
6522514250500332
742435310560335
oct6130515044740
91445867882452
10424215333344
111539aa550790
126a270a346a8
133100742cc5a
141676425298c
15b07c77217e
hex62c53449e0

424215333344 has 96 divisors (see below), whose sum is σ = 960514765056. Its totient is φ = 182539653120.

The previous prime is 424215333343. The next prime is 424215333389. The reversal of 424215333344 is 443333512424.

It is a super-2 number, since 2×4242153333442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424215333298 and 424215333307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424215333343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515219 + ... + 1055405.

It is an arithmetic number, because the mean of its divisors is an integer number (10005362136).

Almost surely, 2424215333344 is an apocalyptic number.

424215333344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424215333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480257382528).

424215333344 is an abundant number, since it is smaller than the sum of its proper divisors (536299431712).

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

424215333344 is a wasteful number, since it uses less digits than its factorization.

424215333344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540328 (or 540320 counting only the distinct ones).

The product of its digits is 414720, while the sum is 38.

Adding to 424215333344 its reverse (443333512424), we get a palindrome (867548845768).

The spelling of 424215333344 in words is "four hundred twenty-four billion, two hundred fifteen million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 97 176 184 194 253 352 368 388 506 736 776 1012 1067 1552 2024 2134 2231 3104 4048 4268 4462 8096 8536 8924 17072 17848 24541 34144 35696 49082 71392 98164 196328 392656 540187 785312 1080374 2160748 4321496 5942057 8642992 11884114 12424301 17285984 23768228 24848602 47536456 49697204 52398139 95072912 99394408 104796278 136667311 190145824 198788816 209592556 273334622 397577632 419185112 546669244 576379529 838370224 1093338488 1152759058 1205157197 1676740448 2186676976 2305518116 2410314394 4373353952 4611036232 4820628788 9222072464 9641257576 13256729167 18444144928 19282515152 26513458334 38565030304 53026916668 106053833336 212107666672 424215333344