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14131400130324 = 2234193762041867
BaseRepresentation
bin1100110110100011100100…
…0101011011111100010100
31212000221121120110012010000
43031220321011123330110
53323012101413132244
650015513043531300
72655650161132401
oct315507105337424
955027546405100
1014131400130324
114559102a72414
121702915389b30
137b677bc21659
1436bd6b8812a8
151978cbb30169
hexcda3915bf14

14131400130324 has 120 divisors (see below), whose sum is σ = 39937591268960. Its totient is φ = 4341937950144.

The previous prime is 14131400130293. The next prime is 14131400130329. The reversal of 14131400130324 is 42303100413141.

14131400130324 is a `hidden beast` number, since 1 + 41 + 314 + 0 + 0 + 1 + 303 + 2 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131400130329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30793162 + ... + 31248705.

Almost surely, 214131400130324 is an apocalyptic number.

It is an amenable number.

14131400130324 is an abundant number, since it is smaller than the sum of its proper divisors (25806191138636).

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

14131400130324 is a wasteful number, since it uses less digits than its factorization.

14131400130324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62041939 (or 62041928 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14131400130324 its reverse (42303100413141), we get a palindrome (56434500543465).

The spelling of 14131400130324 in words is "fourteen trillion, one hundred thirty-one billion, four hundred million, one hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 81 108 111 114 148 162 171 222 228 324 333 342 444 513 666 684 703 999 1026 1332 1406 1539 1998 2052 2109 2812 2997 3078 3996 4218 5994 6156 6327 8436 11988 12654 18981 25308 37962 56943 75924 113886 227772 62041867 124083734 186125601 248167468 372251202 558376803 744502404 1116753606 1178795473 1675130409 2233507212 2295549079 2357590946 3350260818 3536386419 4591098158 4715181892 5025391227 6700521636 6886647237 7072772838 9182196316 10050782454 10609159257 13773294474 14145545676 20101564908 20659941711 21218318514 27546588948 31827477771 41319883422 42436637028 43615432501 61979825133 63654955542 82639766844 87230865002 95482433313 123959650266 127309911084 130846297503 174461730004 185939475399 190964866626 247919300532 261692595006 371878950798 381929733252 392538892509 523385190012 743757901596 785077785018 1177616677527 1570155570036 2355233355054 3532850032581 4710466710108 7065700065162 14131400130324