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443550055344 = 24311973986257
BaseRepresentation
bin1100111010001011010…
…01001011101110110000
31120101212202200101220120
412131011221023232300
524231342303232334
6535433013010240
744021404156254
oct6350551135660
91511782611816
10443550055344
11161121496580
1271b68023980
1332a99034866
141767a03c264
15b80edc8949
hex6745a4bbb0

443550055344 has 80 divisors (see below), whose sum is σ = 1250147544960. Its totient is φ = 134393748480.

The previous prime is 443550055337. The next prime is 443550055349.

443550055344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443550055296 and 443550055305.

It is not an unprimeable number, because it can be changed into a prime (443550055349) 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, 5099064 + ... + 5185320.

It is an arithmetic number, because the mean of its divisors is an integer number (15626844312).

Almost surely, 2443550055344 is an apocalyptic number.

443550055344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

443550055344 is an abundant number, since it is smaller than the sum of its proper divisors (806597489616).

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

443550055344 is a wasteful number, since it uses less digits than its factorization.

443550055344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96018 (or 96012 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 443550055344 in words is "four hundred forty-three billion, five hundred fifty million, fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 9739 19478 29217 38956 58434 77912 86257 107129 116868 155824 172514 214258 233736 258771 321387 345028 428516 467472 517542 642774 690056 857032 948827 1035084 1285548 1380112 1714064 1897654 2070168 2571096 2846481 3795308 4140336 5142192 5692962 7590616 11385924 15181232 22771848 45543696 840056923 1680113846 2520170769 3360227692 5040341538 6720455384 9240626153 10080683076 13440910768 18481252306 20161366152 27721878459 36962504612 40322732304 55443756918 73925009224 110887513836 147850018448 221775027672 443550055344