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14410033002 = 234232181929
BaseRepresentation
bin11010110101110011…
…11010011101101010
31101012021000112010000
431122321322131222
5214002432024002
610341521003430
71020044155011
oct153271723552
941167015100
1014410033002
1161250a7092
122961a83576
131488554061
149a9b2da78
1559512961c
hex35ae7a76a

14410033002 has 120 divisors (see below), whose sum is σ = 33977083140. Its totient is φ = 4564200960.

The previous prime is 14410032997. The next prime is 14410033007. The reversal of 14410033002 is 20033001441.

It is an interprime number because it is at equal distance from previous prime (14410032997) and next prime (14410033007).

It can be written as a sum of positive squares in 2 ways, for example, as 8948970801 + 5461062201 = 94599^2 + 73899^2 .

It is a super-2 number, since 2×144100330022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14410033007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15510874 + ... + 15511802.

Almost surely, 214410033002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14410033002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988541570).

14410033002 is an abundant number, since it is smaller than the sum of its proper divisors (19567050138).

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

14410033002 is a wasteful number, since it uses less digits than its factorization.

14410033002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14410033002 its reverse (20033001441), we get a palindrome (34443034443).

The spelling of 14410033002 in words is "fourteen billion, four hundred ten million, thirty-three thousand, two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 181 207 362 414 529 543 621 929 1058 1086 1242 1587 1629 1858 1863 2787 3174 3258 3726 4163 4761 4887 5574 8326 8361 9522 9774 12489 14283 14661 16722 21367 24978 25083 28566 29322 37467 42734 42849 50166 64101 74934 75249 85698 95749 112401 128202 150498 168149 191498 192303 224802 287247 336298 337203 384606 491441 504447 574494 576909 674406 861741 982882 1008894 1153818 1474323 1513341 1723482 1730727 2585223 2948646 3026682 3461454 3867427 4422969 4540023 5170446 7734854 7755669 8845938 9080046 11602281 13268907 13620069 15511338 23204562 26537814 27240138 34806843 39806721 69613686 79613442 88950821 104420529 177901642 208841058 266852463 313261587 533704926 626523174 800557389 1601114778 2401672167 4803344334 7205016501 14410033002