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440430886912 = 2175476143
BaseRepresentation
bin1100110100010111011…
…10100000000000000000
31120002211101102020012211
412122023232200000000
524204000301340122
6534155310231504
743551200524612
oct6321356400000
91502741366184
10440430886912
1115a870832125
12714374b5594
13326bca57a73
1417461a94db2
15b6cb145877
hex668bba0000

440430886912 has 72 divisors (see below), whose sum is σ = 882612412416. Its totient is φ = 219777073152.

The previous prime is 440430886799. The next prime is 440430886993. The reversal of 440430886912 is 219688034044.

It is a super-2 number, since 2×4404308869122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71693313 + ... + 71699455.

It is an arithmetic number, because the mean of its divisors is an integer number (12258505728).

Almost surely, 2440430886912 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 440430886912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441306206208).

440430886912 is an abundant number, since it is smaller than the sum of its proper divisors (442181525504).

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

440430886912 is an frugal number, since it uses more digits than its factorization.

440430886912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 440430886912 in words is "four hundred forty billion, four hundred thirty million, eight hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 547 1024 1094 2048 2188 4096 4376 6143 8192 8752 12286 16384 17504 24572 32768 35008 49144 65536 70016 98288 131072 140032 196576 280064 393152 560128 786304 1120256 1572608 2240512 3145216 3360221 4481024 6290432 6720442 8962048 12580864 13440884 17924096 25161728 26881768 35848192 50323456 53763536 71696384 100646912 107527072 201293824 215054144 402587648 430108288 805175296 860216576 1720433152 3440866304 6881732608 13763465216 27526930432 55053860864 110107721728 220215443456 440430886912