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1414341810 = 23457435801
BaseRepresentation
bin101010001001101…
…0010010010110010
310122120100000020000
41110103102102302
510344032414220
6352202130430
750022464340
oct12423222262
93576300200
101414341810
116663a4a32
123357b0a16
1319703065b
14d5ba6990
1584279390
hex544d24b2

1414341810 has 160 divisors (see below), whose sum is σ = 4448138112. Its totient is φ = 315705600.

The previous prime is 1414341769. The next prime is 1414341833. The reversal of 1414341810 is 181434141.

It is a super-2 number, since 2×14143418102 = 4000725511028152200, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 240910 + ... + 246710.

Almost surely, 21414341810 is an apocalyptic number.

1414341810 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 1414341810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224069056).

1414341810 is an abundant number, since it is smaller than the sum of its proper divisors (3033796302).

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

1414341810 is a wasteful number, since it uses less digits than its factorization.

1414341810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1414341810 is about 37607.7360392779. The cubic root of 1414341810 is about 1122.4959773534.

Adding to 1414341810 its reverse (181434141), we get a palindrome (1595775951).

The spelling of 1414341810 in words is "one billion, four hundred fourteen million, three hundred forty-one thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 81 86 90 105 126 129 135 162 189 210 215 258 270 301 315 378 387 405 430 567 602 630 645 774 810 903 945 1134 1161 1290 1505 1806 1890 1935 2322 2709 2835 3010 3483 3870 4515 5418 5670 5801 5805 6966 8127 9030 11602 11610 13545 16254 17403 17415 24381 27090 29005 34806 34830 40607 40635 48762 52209 58010 81214 81270 87015 104418 121821 121905 156627 174030 203035 243642 243810 249443 261045 313254 365463 406070 469881 498886 522090 609105 730926 748329 783135 939762 1096389 1218210 1247215 1496658 1566270 1746101 1827315 2192778 2244987 2349405 2494430 3289167 3492202 3654630 3741645 4489974 4698810 5238303 5481945 6578334 6734961 7483290 8730505 10476606 10963890 11224935 13469922 15714909 16445835 17461010 20204883 22449870 26191515 31429818 32891670 33674805 40409766 47144727 52383030 67349610 78574545 94289454 101024415 141434181 157149090 202048830 235723635 282868362 471447270 707170905 1414341810