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134104014 = 232111943829
BaseRepresentation
bin1111111111001…
…00001111001110
3100100100012010100
413333210033032
5233312312024
621150151530
73215602542
oct777441716
9310305110
10134104014
1169775370
1238ab25a6
1321a247b5
1413b4ba22
15bb8e7c9
hex7fe43ce

134104014 has 96 divisors (see below), whose sum is σ = 341827200. Its totient is φ = 37558080.

The previous prime is 134103967. The next prime is 134104027. The reversal of 134104014 is 410401431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161352 + ... + 162180.

It is an arithmetic number, because the mean of its divisors is an integer number (3560700).

Almost surely, 2134104014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134104014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170913600).

134104014 is an abundant number, since it is smaller than the sum of its proper divisors (207723186).

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

134104014 is a wasteful number, since it uses less digits than its factorization.

134104014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 134104014 is about 11580.3287518101. The cubic root of 134104014 is about 511.8553643172.

Adding to 134104014 its reverse (410401431), we get a palindrome (544505445).

It can be divided in two parts, 13410 and 4014, that added together give a square (17424 = 1322).

The spelling of 134104014 in words is "one hundred thirty-four million, one hundred four thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 43 57 66 86 99 114 129 171 198 209 258 342 387 418 473 627 774 817 829 946 1254 1419 1634 1658 1881 2451 2487 2838 3762 4257 4902 4974 7353 7461 8514 8987 9119 14706 14922 15751 17974 18238 26961 27357 31502 35647 47253 53922 54714 71294 80883 82071 94506 106941 141759 161766 164142 173261 213882 283518 320823 346522 392117 519783 641646 677293 784234 1039566 1176351 1354586 1559349 2031879 2352702 3118698 3529053 4063758 6095637 7058106 7450223 12191274 14900446 22350669 44701338 67052007 134104014