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1026242340408 = 233214253365839
BaseRepresentation
bin11101110111100001100…
…11110110011000111000
310122002220121000102221200
432323300303312120320
5113303221014343113
62103241010534200
7134100145652055
oct16736063663070
93562817012850
101026242340408
1136625505772a
12146a86597360
1375a0accc40c
14379557c202c
151ba65539873
hexeef0cf6638

1026242340408 has 24 divisors (see below), whose sum is σ = 2779406338800. Its totient is φ = 342080780112.

The previous prime is 1026242340391. The next prime is 1026242340481. The reversal of 1026242340408 is 8040432426201.

1026242340408 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 242 + 3 + 4 + 0 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7126682848 + ... + 7126682991.

It is an arithmetic number, because the mean of its divisors is an integer number (115808597450).

Almost surely, 21026242340408 is an apocalyptic number.

1026242340408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1026242340408 is an abundant number, since it is smaller than the sum of its proper divisors (1753163998392).

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

1026242340408 is a wasteful number, since it uses less digits than its factorization.

1026242340408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14253365851 (or 14253365844 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 1026242340408 its reverse (8040432426201), we get a palindrome (9066674766609).

The spelling of 1026242340408 in words is "one trillion, twenty-six billion, two hundred forty-two million, three hundred forty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14253365839 28506731678 42760097517 57013463356 85520195034 114026926712 128280292551 171040390068 256560585102 342080780136 513121170204 1026242340408