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14343404214320 = 2451937577442009
BaseRepresentation
bin1101000010111001010110…
…0000110101100000110000
31212210012211111112112010222
43100232111200311200300
53340000242434324240
650301134031112212
73010163633123006
oct320562540654060
955705744475128
1014343404214320
114630004824595
121737a21072668
138007671a51bc
1437831dd24a76
1519d188d7eeb5
hexd0b95835830

14343404214320 has 160 divisors (see below), whose sum is σ = 36114904420800. Its totient is φ = 5279315263488.

The previous prime is 14343404214311. The next prime is 14343404214341. The reversal of 14343404214320 is 2341240434341.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32229476 + ... + 32671484.

It is an arithmetic number, because the mean of its divisors is an integer number (225718152630).

Almost surely, 214343404214320 is an apocalyptic number.

14343404214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14343404214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057452210400).

14343404214320 is an abundant number, since it is smaller than the sum of its proper divisors (21771500206480).

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

14343404214320 is a wasteful number, since it uses less digits than its factorization.

14343404214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442655 (or 442649 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 14343404214320 its reverse (2341240434341), we get a palindrome (16684644648661).

The spelling of 14343404214320 in words is "fourteen trillion, three hundred forty-three billion, four hundred four million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 37 38 40 74 76 80 95 148 152 185 190 296 304 370 380 577 592 703 740 760 1154 1406 1480 1520 2308 2812 2885 2960 3515 4616 5624 5770 7030 9232 10963 11248 11540 14060 21349 21926 23080 28120 42698 43852 46160 54815 56240 85396 87704 106745 109630 170792 175408 213490 219260 341584 405631 426980 438520 442009 811262 853960 877040 884018 1622524 1707920 1768036 2028155 2210045 3245048 3536072 4056310 4420090 6490096 7072144 8112620 8398171 8840180 16225240 16354333 16796342 17680360 32450480 32708666 33592684 35360720 41990855 65417332 67185368 81771665 83981710 130834664 134370736 163543330 167963420 255039193 261669328 310732327 327086660 335926840 510078386 621464654 654173320 671853680 1020156772 1242929308 1275195965 1308346640 1553661635 2040313544 2485858616 2550391930 3107323270 4080627088 4845744667 4971717232 5100783860 6214646540 9436450141 9691489334 10201567720 12429293080 18872900282 19382978668 20403135440 24228723335 24858586160 37745800564 38765957336 47182250705 48457446670 75491601128 77531914672 94364501410 96914893340 150983202256 179292552679 188729002820 193829786680 358585105358 377458005640 387659573360 717170210716 754916011280 896462763395 1434340421432 1792925526790 2868680842864 3585851053580 7171702107160 14343404214320