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4441014341340 = 2235315197459427
BaseRepresentation
bin100000010100000000100…
…0101010000111011011100
3120201120000220222111011020
41000220001011100323130
51040230144132410330
613240101313524140
7635565322026243
oct100500105207334
916646026874136
104441014341340
111462472900735
125b8846873650
13262a2a6a80b5
14114d366b195a
157a7c3451210
hex40a01150edc

4441014341340 has 96 divisors (see below), whose sum is σ = 12838461855744. Its totient is φ = 1145845198080.

The previous prime is 4441014341333. The next prime is 4441014341353. The reversal of 4441014341340 is 431434101444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9436707 + ... + 9896133.

It is an arithmetic number, because the mean of its divisors is an integer number (133733977664).

Almost surely, 24441014341340 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 4441014341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419230927872).

4441014341340 is an abundant number, since it is smaller than the sum of its proper divisors (8397447514404).

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

4441014341340 is a wasteful number, since it uses less digits than its factorization.

4441014341340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464667 (or 464665 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4441014341340 its reverse (431434101444), we get a palindrome (4872448442784).

The spelling of 4441014341340 in words is "four trillion, four hundred forty-one billion, fourteen million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 5197 10394 15591 20788 25985 31182 51970 62364 77955 103940 155910 161107 311820 322214 459427 483321 644428 805535 918854 966642 1378281 1611070 1837708 1933284 2297135 2416605 2756562 3222140 4594270 4833210 5513124 6891405 9188540 9666420 13782810 14242237 27565620 28484474 42726711 56968948 71211185 85453422 142422370 170906844 213633555 284844740 427267110 854534220 2387642119 4775284238 7162926357 9550568476 11938210595 14325852714 23876421190 28651705428 35814631785 47752842380 71629263570 74016905689 143258527140 148033811378 222050717067 296067622756 370084528445 444101434134 740169056890 888202868268 1110253585335 1480338113780 2220507170670 4441014341340