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1384629138048 = 273131943133871
BaseRepresentation
bin10100001001100010010…
…100111111001010000000
311220100222012000002211110
4110021202110333022000
5140141210024404143
62540031223443320
7202015254324312
oct24114224771200
94810865002743
101384629138048
114942440621a2
121a44255b6540
13a07542ac0a0
144b0330477b2
152603d9e0533
hex1426253f280

1384629138048 has 256 divisors, whose sum is σ = 4179100262400. Its totient is φ = 402668236800.

The previous prime is 1384629137929. The next prime is 1384629138119. The reversal of 1384629138048 is 8408319264831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40862553 + ... + 40896423.

It is an arithmetic number, because the mean of its divisors is an integer number (16324610400).

Almost surely, 21384629138048 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 1384629138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089550131200).

1384629138048 is an abundant number, since it is smaller than the sum of its proper divisors (2794471124352).

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

1384629138048 is a wasteful number, since it uses less digits than its factorization.

1384629138048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34351 (or 34339 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 1384629138048 in words is "one trillion, three hundred eighty-four billion, six hundred twenty-nine million, one hundred thirty-eight thousand, forty-eight".