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14131500408 = 233479276049
BaseRepresentation
bin11010010100100110…
…11001010101111000
31100110211220121020000
431022103121111320
5212420131003113
610254131033000
71010122525434
oct151223312570
940424817200
1014131500408
115aa1955463
1228a473b760
13144293157c
14980b479c4
1557a95b373
hex34a4d9578

14131500408 has 80 divisors (see below), whose sum is σ = 40082460000. Its totient is φ = 4650856704.

The previous prime is 14131500373. The next prime is 14131500433. The reversal of 14131500408 is 80400513141.

It is a happy number.

14131500408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 86833 + ... + 189216.

It is an arithmetic number, because the mean of its divisors is an integer number (501030750).

Almost surely, 214131500408 is an apocalyptic number.

14131500408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14131500408 is an abundant number, since it is smaller than the sum of its proper divisors (25950959592).

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

14131500408 is a wasteful number, since it uses less digits than its factorization.

14131500408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276146 (or 276133 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 14131500408 in words is "fourteen billion, one hundred thirty-one million, five hundred thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 316 324 474 632 648 711 948 1422 1896 2133 2844 4266 5688 6399 8532 12798 17064 25596 51192 276049 552098 828147 1104196 1656294 2208392 2484441 3312588 4968882 6625176 7453323 9937764 14906646 19875528 21807871 22359969 29813292 43615742 44719938 59626584 65423613 87231484 89439876 130847226 174462968 178879752 196270839 261694452 392541678 523388904 588812517 785083356 1177625034 1570166712 1766437551 2355250068 3532875102 4710500136 7065750204 14131500408