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124334420004 = 2232172367131837
BaseRepresentation
bin111001111001011101…
…0001011000000100100
3102212221002010221221200
41303302322023000210
54014114102420004
6133041330042500
711661060063264
oct1636272130044
9385832127850
10124334420004
11488035a2013
122011b419430
13b956198632
146036c6d7a4
15337a788239
hex1cf2e8b024

124334420004 has 144 divisors (see below), whose sum is σ = 352431451008. Its totient is φ = 36753767424.

The previous prime is 124334420003. The next prime is 124334420029. The reversal of 124334420004 is 400024433421.

It is a happy number.

124334420004 is a `hidden beast` number, since 124 + 334 + 4 + 200 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 124334420004.

It is not an unprimeable number, because it can be changed into a prime (124334420003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 877174 + ... + 1009010.

It is an arithmetic number, because the mean of its divisors is an integer number (2447440632).

Almost surely, 2124334420004 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 124334420004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176215725504).

124334420004 is an abundant number, since it is smaller than the sum of its proper divisors (228097031004).

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

124334420004 is a wasteful number, since it uses less digits than its factorization.

124334420004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131954 (or 131949 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 124334420004 its reverse (400024433421), we get a palindrome (524358853425).

The spelling of 124334420004 in words is "one hundred twenty-four billion, three hundred thirty-four million, four hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 67 68 69 92 102 134 138 153 201 204 207 268 276 306 391 402 414 603 612 782 804 828 1139 1173 1206 1541 1564 2278 2346 2412 3082 3417 3519 4556 4623 4692 6164 6834 7038 9246 10251 13668 13869 14076 18492 20502 26197 27738 41004 52394 55476 78591 104788 131837 157182 235773 263674 314364 395511 471546 527348 791022 943092 1186533 1582044 2241229 2373066 3032251 4482458 4746132 6064502 6723687 8833079 8964916 9096753 12129004 13447374 17666158 18193506 20171061 26499237 26894748 27290259 35332316 36387012 40342122 51548267 52998474 54580518 79497711 80684244 103096534 105996948 109161036 150162343 154644801 158995422 203160817 206193068 300324686 309289602 317990844 406321634 450487029 463934403 600649372 609482451 618579204 812643268 900974058 927868806 1218964902 1351461087 1801948116 1828447353 1855737612 2437929804 2702922174 3453733889 3656894706 5405844348 6907467778 7313789412 10361201667 13814935556 20722403334 31083605001 41444806668 62167210002 124334420004