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1390547119104 = 21035111339079
BaseRepresentation
bin10100001111000011000…
…100010010110000000000
311220221020121201200200000
4110033003010102300000
5140240320030302404
62542450350400000
7202315024330353
oct24170304226000
94827217650600
101390547119104
11496800662a30
121a55b7500000
13a118838b820
144b434dc629a
1526288326339
hex143c3112c00

1390547119104 has 528 divisors, whose sum is σ = 4891961867520. Its totient is φ = 388954275840.

The previous prime is 1390547119097. The next prime is 1390547119121. The reversal of 1390547119104 is 4019117450931.

1390547119104 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 547 + 11 + 91 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×13905471191043 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1390547119104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35563437 + ... + 35602515.

Almost surely, 21390547119104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390547119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445980933760).

1390547119104 is an abundant number, since it is smaller than the sum of its proper divisors (3501414748416).

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

1390547119104 is a wasteful number, since it uses less digits than its factorization.

1390547119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39138 (or 39108 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 1390547119104 in words is "one trillion, three hundred ninety billion, five hundred forty-seven million, one hundred nineteen thousand, one hundred four".