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134421124024 = 231137596111471
BaseRepresentation
bin111110100110000011…
…1111001001110111000
3110211222001001121122001
41331030013321032320
54200243301432044
6141430251110344
712466036462525
oct1751407711670
9424861047561
10134421124024
115200a247040
12220754423b4
13c8a2b22755
14671272214c
15376b0712d4
hex1f4c1f93b8

134421124024 has 128 divisors (see below), whose sum is σ = 291902745600. Its totient is φ = 57478464000.

The previous prime is 134421123983. The next prime is 134421124051. The reversal of 134421124024 is 420421124431.

It is a junction number, because it is equal to n+sod(n) for n = 134421123983 and 134421124001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11712609 + ... + 11724079.

It is an arithmetic number, because the mean of its divisors is an integer number (2280490200).

Almost surely, 2134421124024 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 134421124024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145951372800).

134421124024 is an abundant number, since it is smaller than the sum of its proper divisors (157481621576).

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

134421124024 is a wasteful number, since it uses less digits than its factorization.

134421124024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11645 (or 11641 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 134421124024 its reverse (420421124431), we get a palindrome (554842248455).

The spelling of 134421124024 in words is "one hundred thirty-four billion, four hundred twenty-one million, one hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 37 44 59 61 74 88 118 122 148 236 244 296 407 472 488 649 671 814 1298 1342 1628 2183 2257 2596 2684 3256 3599 4366 4514 5192 5368 7198 8732 9028 11471 14396 17464 18056 22942 24013 24827 28792 39589 45884 48026 49654 79178 91768 96052 99308 126181 133163 158356 192104 198616 252362 266326 316712 424427 504724 532652 676789 699731 848854 1009448 1065304 1353578 1399462 1464793 1697708 2707156 2798924 2929586 3395416 4668697 5414312 5597848 5859172 7444679 7697041 9337394 11718344 14889358 15394082 18674788 25041193 25890047 29778716 30788164 37349576 41284129 50082386 51780094 59557432 61576328 82568258 100164772 103560188 165136516 200329544 207120376 275453123 284790517 330273032 454125419 550906246 569581034 908250838 1101812492 1139162068 1527512773 1816501676 2203624984 2278324136 3055025546 3633003352 6110051092 12220102184 16802640503 33605281006 67210562012 134421124024