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4222014432440 = 235741935987167
BaseRepresentation
bin111101011100000011101…
…010111010010010111000
3112221121202110000102111012
4331130003222322102320
51023133141143314230
612551322221453052
7614013311355650
oct75340352722270
915847673012435
104222014432440
111388601096792
12582308111188
13248198c50a9c
141084bd07b360
1574c56e5e395
hex3d703aba4b8

4222014432440 has 64 divisors (see below), whose sum is σ = 10882519603200. Its totient is φ = 1444092997248.

The previous prime is 4222014432421. The next prime is 4222014432463. The reversal of 4222014432440 is 442344102224.

It is a junction number, because it is equal to n+sod(n) for n = 4222014432397 and 4222014432406.

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, 17876264 + ... + 18110903.

It is an arithmetic number, because the mean of its divisors is an integer number (170039368800).

Almost surely, 24222014432440 is an apocalyptic number.

4222014432440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222014432440 is an abundant number, since it is smaller than the sum of its proper divisors (6660505170760).

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

4222014432440 is a wasteful number, since it uses less digits than its factorization.

4222014432440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35987604 (or 35987600 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4222014432440 its reverse (442344102224), we get a palindrome (4664358534664).

The spelling of 4222014432440 in words is "four trillion, two hundred twenty-two billion, fourteen million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 419 838 1676 2095 2933 3352 4190 5866 8380 11732 14665 16760 23464 29330 58660 117320 35987167 71974334 143948668 179935835 251910169 287897336 359871670 503820338 719743340 1007640676 1259550845 1439486680 2015281352 2519101690 5038203380 10076406760 15078622973 30157245946 60314491892 75393114865 105550360811 120628983784 150786229730 211100721622 301572459460 422201443244 527751804055 603144918920 844402886488 1055503608110 2111007216220 4222014432440