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10314041430 = 2357114794999
BaseRepresentation
bin10011001101100001…
…11100100001010110
3222121210200120222110
421212300330201112
5132110343311210
64423241411450
7513406622430
oct114660744126
928553616873
1010314041430
114413009a90
121bba199b86
13c84a934c4
146dbb4d650
15405742420
hex266c3c856

10314041430 has 128 divisors (see below), whose sum is σ = 31518720000. Its totient is φ = 2097555840.

The previous prime is 10314041407. The next prime is 10314041459. The reversal of 10314041430 is 3414041301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10314041397 and 10314041406.

It is a congruent number.

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, 61071 + ... + 156069.

It is an arithmetic number, because the mean of its divisors is an integer number (246240000).

Almost surely, 210314041430 is an apocalyptic number.

10314041430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314041430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360000).

10314041430 is an abundant number, since it is smaller than the sum of its proper divisors (21204678570).

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

10314041430 is a wasteful number, since it uses less digits than its factorization.

10314041430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95074.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10314041430 its reverse (3414041301), we get a palindrome (13728082731).

The spelling of 10314041430 in words is "ten billion, three hundred fourteen million, forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 47 55 66 70 77 94 105 110 141 154 165 210 231 235 282 329 330 385 462 470 517 658 705 770 987 1034 1155 1410 1551 1645 1974 2310 2585 3102 3290 3619 4935 5170 7238 7755 9870 10857 15510 18095 21714 36190 54285 94999 108570 189998 284997 474995 569994 664993 949990 1044989 1329986 1424985 1994979 2089978 2849970 3134967 3324965 3989958 4464953 5224945 6269934 6649930 7314923 8929906 9974895 10449890 13394859 14629846 15674835 19949790 21944769 22324765 26789718 31254671 31349670 36574615 43889538 44649530 49114483 62509342 66974295 73149230 93764013 98228966 109723845 133948590 147343449 156273355 187528026 219447690 245572415 294686898 312546710 343801381 468820065 491144830 687602762 736717245 937640130 1031404143 1473434490 1719006905 2062808286 3438013810 5157020715 10314041430