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334010412414 = 2327103187913697
BaseRepresentation
bin1001101110001001001…
…00100110110101111110
31011221010202111222201100
410313010210212311332
520433023131144124
6413235310153530
733063042442560
oct4670444466576
91157122458640
10334010412414
11119720196558
12548974b28a6
132566001c8b3
1412248051330
158a4d4181c9
hex4dc4926d7e

334010412414 has 96 divisors (see below), whose sum is σ = 835608683520. Its totient is φ = 94447835136.

The previous prime is 334010412403. The next prime is 334010412433. The reversal of 334010412414 is 414214010433.

It is a super-2 number, since 2×3340104124142 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24378814 + ... + 24392510.

It is an arithmetic number, because the mean of its divisors is an integer number (8704257120).

Almost surely, 2334010412414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334010412414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417804341760).

334010412414 is an abundant number, since it is smaller than the sum of its proper divisors (501598271106).

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

334010412414 is a wasteful number, since it uses less digits than its factorization.

334010412414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15694 (or 15691 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 334010412414 its reverse (414214010433), we get a palindrome (748224422847).

The spelling of 334010412414 in words is "three hundred thirty-four billion, ten million, four hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 103 126 206 309 618 721 927 1442 1854 1879 2163 3758 4326 5637 6489 11274 12978 13153 13697 16911 26306 27394 33822 39459 41091 78918 82182 95879 118377 123273 191758 193537 236754 246546 287637 387074 575274 580611 862911 1161222 1354759 1410791 1725822 1741833 2709518 2821582 3483666 4064277 4232373 8128554 8464746 9875537 12192831 12697119 19751074 24385662 25394238 25736663 29626611 51473326 59253222 77209989 88879833 154419978 177759666 180156641 231629967 360313282 463259934 540469923 1080939846 1621409769 2650876289 3242819538 5301752578 7952628867 15905257734 18556134023 23857886601 37112268046 47715773202 55668402069 111336804138 167005206207 334010412414