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4222470695040 = 2734513172971179
BaseRepresentation
bin111101011100011110110…
…111011010100010000000
3112221122221020112222010000
4331130132313122202000
51023140104444220130
612551435401040000
7614030521500423
oct75343667324200
915848836488100
104222470695040
11138881569a614
12582414a86000
1324823c631160
141085238c99ba
1574c82038260
hex3d71edda880

4222470695040 has 2560 divisors, whose sum is σ = 18138593088000. Its totient is φ = 926000087040.

The previous prime is 4222470695029. The next prime is 4222470695059. The reversal of 4222470695040 is 405960742224.

4222470695040 is a `hidden beast` number, since 42 + 2 + 2 + 47 + 0 + 69 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 23589221671 + ... + 23589221849.

It is an arithmetic number, because the mean of its divisors is an integer number (7085387925).

Almost surely, 24222470695040 is an apocalyptic number.

4222470695040 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 4222470695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069296544000).

4222470695040 is an abundant number, since it is smaller than the sum of its proper divisors (13916122392960).

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

4222470695040 is a wasteful number, since it uses less digits than its factorization.

4222470695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4222470695040 in words is "four trillion, two hundred twenty-two billion, four hundred seventy million, six hundred ninety-five thousand, forty".