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4434242420320 = 255521109148757
BaseRepresentation
bin100000010000110110101…
…1100011011111001100000
3120200220112222102020220121
41000201231130123321200
51040122312024422240
613233021324050024
7635235442452256
oct100415534337140
916626488366817
104434242420320
11145a608278199
125b7476993914
132621bb70ac3b
141148931665d6
157a528b8b04a
hex4086d71be60

4434242420320 has 96 divisors (see below), whose sum is σ = 10505841012576. Its totient is φ = 1768633651200.

The previous prime is 4434242420249. The next prime is 4434242420339. The reversal of 4434242420320 is 230242424344.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90921382 + ... + 90970138.

It is an arithmetic number, because the mean of its divisors is an integer number (109435843881).

Almost surely, 24434242420320 is an apocalyptic number.

4434242420320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4434242420320 is an abundant number, since it is smaller than the sum of its proper divisors (6071598592256).

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

4434242420320 is a wasteful number, since it uses less digits than its factorization.

4434242420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50384 (or 50376 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 4434242420320 its reverse (230242424344), we get a palindrome (4664484844664).

The spelling of 4434242420320 in words is "four trillion, four hundred thirty-four billion, two hundred forty-two million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 521 1042 1091 2084 2182 2605 4168 4364 5210 5455 8336 8728 10420 10910 16672 17456 20840 21820 34912 41680 43640 48757 83360 87280 97514 174560 195028 243785 390056 487570 568411 780112 975140 1136822 1560224 1950280 2273644 2842055 3900560 4547288 5684110 7801120 9094576 11368220 18189152 22736440 25402397 45472880 50804794 53193887 90945760 101609588 106387774 127011985 203219176 212775548 254023970 265969435 406438352 425551096 508047940 531938870 812876704 851102192 1016095880 1063877740 1702204384 2032191760 2127755480 4064383520 4255510960 8511021920 27714015127 55428030254 110856060508 138570075635 221712121016 277140151270 443424242032 554280302540 886848484064 1108560605080 2217121210160 4434242420320