Search a number
-
+
14731919000 = 235383177493
BaseRepresentation
bin11011011100001011…
…10011111010011000
31102000200201000200122
431232011303322120
5220132332402000
610433500052412
71031033150111
oct155605637230
942020630618
1014731919000
11627a869877
122a31834108
13150a145846
149da79d208
155b350d085
hex36e173e98

14731919000 has 64 divisors (see below), whose sum is σ = 34888220640. Its totient is φ = 5821737600.

The previous prime is 14731918997. The next prime is 14731919017. The reversal of 14731919000 is 91913741.

It is a happy number.

It is a super-2 number, since 2×147319190002 (a number of 21 digits) 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5747 + ... + 171746.

Almost surely, 214731919000 is an apocalyptic number.

14731919000 is a gapful number since it is divisible by the number (10) 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 14731919000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17444110320).

14731919000 is an abundant number, since it is smaller than the sum of its proper divisors (20156301640).

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

14731919000 is a wasteful number, since it uses less digits than its factorization.

14731919000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177597 (or 177583 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The spelling of 14731919000 in words is "fourteen billion, seven hundred thirty-one million, nine hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 2075 3320 4150 8300 10375 16600 20750 41500 83000 177493 354986 709972 887465 1419944 1774930 3549860 4437325 7099720 8874650 14731919 17749300 22186625 29463838 35498600 44373250 58927676 73659595 88746500 117855352 147319190 177493000 294638380 368297975 589276760 736595950 1473191900 1841489875 2946383800 3682979750 7365959500 14731919000