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42224311340101 = 1173130340355489
BaseRepresentation
bin10011001100111000111010…
…00101000000110001000101
312112111121022212010120210201
421212130131011000301011
521013300342200340401
6225445325243450501
711615414540346262
oct1146343505006105
9175447285116721
1042224311340101
11124aa258a69770
12489b430526a31
131a73973ab5937
14a5d94bb6c269
154d354065db01
hex26671d140c45

42224311340101 has 16 divisors (see below), whose sum is σ = 46729720356480. Its totient is φ = 37830848670720.

The previous prime is 42224311340087. The next prime is 42224311340137. The reversal of 42224311340101 is 10104311342224.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 42224311340101 - 215 = 42224311307333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42224311340101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42224311340161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19131436 + ... + 21224053.

It is an arithmetic number, because the mean of its divisors is an integer number (2920607522280).

Almost surely, 242224311340101 is an apocalyptic number.

It is an amenable number.

42224311340101 is a deficient number, since it is larger than the sum of its proper divisors (4505409016379).

42224311340101 is a wasteful number, since it uses less digits than its factorization.

42224311340101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40356876.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 42224311340101 its reverse (10104311342224), we get a palindrome (52328622682325).

The spelling of 42224311340101 in words is "forty-two trillion, two hundred twenty-four billion, three hundred eleven million, three hundred forty thousand, one hundred one".

Divisors: 1 11 73 803 1303 14333 95119 1046309 40355489 443910379 2945950697 32405457667 52583202167 578415223837 3838573758191 42224311340101