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4350114015440 = 245412459539347
BaseRepresentation
bin111111010011010111000…
…000000010100011010000
3120101212101220222111002012
4333103113000002203100
51032233013141443230
613130225332242052
7626166611015654
oct77232700024320
916355356874065
104350114015440
111427966a55456
125a30b8470328
132572a21a6ccb
14110791db0a64
1578253031395
hex3f4d70028d0

4350114015440 has 80 divisors (see below), whose sum is σ = 10364930976960. Its totient is φ = 1696911959040.

The previous prime is 4350114015433. The next prime is 4350114015491. The reversal of 4350114015440 is 445104110534.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4350114015397 and 4350114015406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7795847 + ... + 8335193.

It is an arithmetic number, because the mean of its divisors is an integer number (129561637212).

Almost surely, 24350114015440 is an apocalyptic number.

4350114015440 is a gapful number since it is divisible by the number (40) 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 4350114015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182465488480).

4350114015440 is an abundant number, since it is smaller than the sum of its proper divisors (6014816961520).

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

4350114015440 is a wasteful number, since it uses less digits than its factorization.

4350114015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541860 (or 541854 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 4350114015440 its reverse (445104110534), we get a palindrome (4795218125974).

The spelling of 4350114015440 in words is "four trillion, three hundred fifty billion, one hundred fourteen million, fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 2459 3280 4918 9836 12295 19672 24590 39344 49180 98360 100819 196720 201638 403276 504095 539347 806552 1008190 1078694 1613104 2016380 2157388 2696735 4032760 4314776 5393470 8065520 8629552 10786940 21573880 22113227 43147760 44226454 88452908 110566135 176905816 221132270 353811632 442264540 884529080 1326254273 1769058160 2652508546 5305017092 6631271365 10610034184 13262542730 21220068368 26525085460 53050170920 54376425193 106100341840 108752850386 217505700772 271882125965 435011401544 543764251930 870022803088 1087528503860 2175057007720 4350114015440