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1408117712 = 24313977151
BaseRepresentation
bin101001111101110…
…0010101111010000
310122010121210100212
41103323202233100
510340434231322
6351420503252
746615542311
oct12373425720
93563553325
101408117712
11662933751
123336aab28
13195961661
14d5026608
158394a0e2
hex53ee2bd0

1408117712 has 40 divisors (see below), whose sum is σ = 2823724032. Its totient is φ = 679536000.

The previous prime is 1408117709. The next prime is 1408117729. The reversal of 1408117712 is 2177118041.

It is a super-2 number, since 2×14081177122 = 3965590981696229888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193337 + ... + 200487.

Almost surely, 21408117712 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 1408117712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411862016).

1408117712 is an abundant number, since it is smaller than the sum of its proper divisors (1415606320).

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

1408117712 is a wasteful number, since it uses less digits than its factorization.

1408117712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 32.

The square root of 1408117712 is about 37524.8945634761. The cubic root of 1408117712 is about 1120.8469656393.

The spelling of 1408117712 in words is "one billion, four hundred eight million, one hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 248 397 496 794 1588 3176 6352 7151 12307 14302 24614 28604 49228 57208 98456 114416 196912 221681 443362 886724 1773448 2838947 3546896 5677894 11355788 22711576 45423152 88007357 176014714 352029428 704058856 1408117712