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123463003314 = 23719737872693
BaseRepresentation
bin111001011111011110…
…1111110110010110010
3102210200100102101222110
41302332331332302302
54010323012101224
6132415040350150
711630346132660
oct1627675766262
9383610371873
10123463003314
11483a6712832
121bb17615356
13b84779c161
145d93233c30
153329005929
hex1cbef7ecb2

123463003314 has 128 divisors (see below), whose sum is σ = 301617653760. Its totient is φ = 32906663424.

The previous prime is 123463003309. The next prime is 123463003327. The reversal of 123463003314 is 413300364321.

It is a super-2 number, since 2×1234630033142 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45844552 + ... + 45847244.

It is an arithmetic number, because the mean of its divisors is an integer number (2356387920).

Almost surely, 2123463003314 is an apocalyptic number.

123463003314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123463003314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150808826880).

123463003314 is an abundant number, since it is smaller than the sum of its proper divisors (178154650446).

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

123463003314 is a wasteful number, since it uses less digits than its factorization.

123463003314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 123463003314 its reverse (413300364321), we get a palindrome (536763367635).

The spelling of 123463003314 in words is "one hundred twenty-three billion, four hundred sixty-three million, three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 73 114 133 146 219 266 399 438 511 787 798 1022 1387 1533 1574 2361 2693 2774 3066 4161 4722 5386 5509 8079 8322 9709 11018 14953 16158 16527 18851 19418 29127 29906 33054 37702 44859 51167 56553 57451 58254 89718 102334 104671 113106 114902 153501 172353 196589 209342 307002 314013 344706 358169 393178 402157 589767 628026 716338 804314 1074507 1091569 1179534 1206471 1376123 2119391 2149014 2183138 2412942 2752246 3274707 3735191 4128369 4238782 6358173 6549414 7470382 7640983 8256738 11205573 12716346 14835737 15281966 22411146 22922949 26146337 29671474 40268429 44507211 45845898 52292674 78439011 80536858 89014422 120805287 154715543 156878022 241610574 281879003 309431086 464146629 563758006 845637009 928293258 1083008801 1691274018 2166017602 2939595317 3249026403 5879190634 6498052806 8818785951 17637571902 20577167219 41154334438 61731501657 123463003314