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16134003408 = 243171011631201
BaseRepresentation
bin11110000011010100…
…10101101011010000
31112122101222021220210
433001222111223100
5231020301102113
611224543404120
71110546523545
oct170152255320
945571867823
1016134003408
11692a251616
1231632b3640
1316a1773ca3
14ad0a94bcc
156466656c3
hex3c1a95ad0

16134003408 has 160 divisors (see below), whose sum is σ = 44878948992. Its totient is φ = 4976640000.

The previous prime is 16134003373. The next prime is 16134003409. The reversal of 16134003408 is 80430043161.

It is a super-2 number, since 2×161340034082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16134003409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13433208 + ... + 13434408.

Almost surely, 216134003408 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 16134003408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22439474496).

16134003408 is an abundant number, since it is smaller than the sum of its proper divisors (28744945584).

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

16134003408 is a wasteful number, since it uses less digits than its factorization.

16134003408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 16134003408 its reverse (80430043161), we get a palindrome (96564046569).

The spelling of 16134003408 in words is "sixteen billion, one hundred thirty-four million, three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 101 102 136 163 202 204 272 303 326 404 408 489 606 652 808 816 978 1201 1212 1304 1616 1717 1956 2402 2424 2608 2771 3434 3603 3912 4804 4848 5151 5542 6868 7206 7824 8313 9608 10302 11084 13736 14412 16463 16626 19216 20417 20604 22168 27472 28824 32926 33252 40834 41208 44336 49389 57648 61251 65852 66504 81668 82416 98778 121301 122502 131704 133008 163336 195763 197556 242602 245004 263408 279871 326672 363903 391526 395112 485204 490008 559742 587289 727806 783052 790224 839613 970408 980016 1119484 1174578 1455612 1566104 1679226 1940816 2062117 2238968 2349156 2911224 3132208 3327971 3358452 4124234 4477936 4698312 5822448 6186351 6655942 6716904 8248468 9396624 9983913 12372702 13311884 13433808 16496936 19772063 19967826 24745404 26623768 32993872 39544126 39935652 49490808 53247536 59316189 79088252 79871304 98981616 118632378 158176504 159742608 237264756 316353008 336125071 474529512 672250142 949059024 1008375213 1344500284 2016750426 2689000568 4033500852 5378001136 8067001704 16134003408