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1384225908416 = 261337940910733
BaseRepresentation
bin10100001001001010010…
…010110010011011000000
311220022221002020220202122
4110021022102302123000
5140134343313032131
62535523221103412
7202002260041601
oct24111222623300
94808832226678
101384225908416
1149405749086a
121a4332557b68
13a06bb8a9780
144add5681da8
15260183ded7b
hex1424a4b26c0

1384225908416 has 112 divisors (see below), whose sum is σ = 2973451101600. Its totient is φ = 635570675712.

The previous prime is 1384225908413. The next prime is 1384225908437. The reversal of 1384225908416 is 6148095224831.

It is not an unprimeable number, because it can be changed into a prime (1384225908413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128963786 + ... + 128974518.

It is an arithmetic number, because the mean of its divisors is an integer number (26548670550).

Almost surely, 21384225908416 is an apocalyptic number.

1384225908416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1384225908416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486725550800).

1384225908416 is an abundant number, since it is smaller than the sum of its proper divisors (1589225193184).

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

1384225908416 is a wasteful number, since it uses less digits than its factorization.

1384225908416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11546 (or 11536 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 1384225908416 in words is "one trillion, three hundred eighty-four billion, two hundred twenty-five million, nine hundred eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 379 409 416 758 818 832 1516 1636 3032 3272 4927 5317 6064 6544 9854 10634 10733 12128 13088 19708 21268 21466 24256 26176 39416 42536 42932 78832 85072 85864 139529 155011 157664 170144 171728 279058 310022 315328 340288 343456 558116 620044 686912 1116232 1240088 2015143 2232464 2480176 4030286 4067807 4389797 4464928 4960352 8060572 8135614 8779594 8929856 9920704 16121144 16271228 17559188 32242288 32542456 35118376 52881491 57067361 64484576 65084912 70236752 105762982 114134722 128969152 130169824 140473504 211525964 228269444 260339648 280947008 423051928 456538888 846103856 913077776 1663733063 1692207712 1826155552 3327466126 3384415424 3652311104 6654932252 13309864504 21628529819 26619729008 43257059638 53239458016 86514119276 106478916032 173028238552 346056477104 692112954208 1384225908416