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4122242414000 = 245319910357393
BaseRepresentation
bin111011111111001000110…
…010110111010110110000
3112121002020011100202010222
4323333020302313112300
51020014323024222000
612433422041112212
7603552003245504
oct73771062672660
915532204322128
104122242414000
11134a2624155a7
12566b02788668
1323b958744999
14103736404304
1572367c59a85
hex3bfc8cb75b0

4122242414000 has 80 divisors (see below), whose sum is σ = 10017671476800. Its totient is φ = 1640610892800.

The previous prime is 4122242413889. The next prime is 4122242414029. The reversal of 4122242414000 is 4142422214.

It is a happy number.

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

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, 4780697 + ... + 5576696.

It is an arithmetic number, because the mean of its divisors is an integer number (125220893460).

Almost surely, 24122242414000 is an apocalyptic number.

4122242414000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122242414000 is an abundant number, since it is smaller than the sum of its proper divisors (5895429062800).

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

4122242414000 is a wasteful number, since it uses less digits than its factorization.

4122242414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357615 (or 10357599 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 4122242414000 its reverse (4142422214), we get a palindrome (4126384836214).

The spelling of 4122242414000 in words is "four trillion, one hundred twenty-two billion, two hundred forty-two million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 199 200 250 398 400 500 796 995 1000 1592 1990 2000 3184 3980 4975 7960 9950 15920 19900 24875 39800 49750 79600 99500 199000 398000 10357393 20714786 41429572 51786965 82859144 103573930 165718288 207147860 258934825 414295720 517869650 828591440 1035739300 1294674125 2061121207 2071478600 2589348250 4122242414 4142957200 5178696500 8244484828 10305606035 10357393000 16488969656 20611212070 20714786000 32977939312 41222424140 51528030175 82444848280 103056060350 164889696560 206112120700 257640150875 412224241400 515280301750 824448482800 1030560603500 2061121207000 4122242414000