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5614402000 = 24539672903
BaseRepresentation
bin1010011101010010…
…01111100111010000
3112111021111011122211
411032221033213100
542444241331000
62325040041504
7256062425644
oct51651174720
915437434584
105614402000
112421202359
121108303294
136b622a87c
143b3916c24
1522cd6b7ba
hex14ea4f9d0

5614402000 has 80 divisors (see below), whose sum is σ = 13594344192. Its totient is φ = 2242665600.

The previous prime is 5614401937. The next prime is 5614402019. The reversal of 5614402000 is 2044165.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1932549 + ... + 1935451.

Almost surely, 25614402000 is an apocalyptic number.

5614402000 is a gapful number since it is divisible by the number (50) 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 5614402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797172096).

5614402000 is an abundant number, since it is smaller than the sum of its proper divisors (7979942192).

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

5614402000 is a wasteful number, since it uses less digits than its factorization.

5614402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5614402000 is about 74929.3133559891. The cubic root of 5614402000 is about 1777.3290328605.

Adding to 5614402000 its reverse (2044165), we get a palindrome (5616446165).

The spelling of 5614402000 in words is "five billion, six hundred fourteen million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 967 1000 1934 2000 2903 3868 4835 5806 7736 9670 11612 14515 15472 19340 23224 24175 29030 38680 46448 48350 58060 72575 77360 96700 116120 120875 145150 193400 232240 241750 290300 362875 386800 483500 580600 725750 967000 1161200 1451500 1934000 2807201 2903000 5614402 5806000 11228804 14036005 22457608 28072010 44915216 56144020 70180025 112288040 140360050 224576080 280720100 350900125 561440200 701800250 1122880400 1403600500 2807201000 5614402000