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14430244132400 = 2452231918212067
BaseRepresentation
bin1101000111111100110110…
…0100110101011000110000
31220002111222112011102211012
43101333031210311120300
53342411114444214100
650405055044010052
73016356621213515
oct321771544653060
956074875142735
1014430244132400
114663917687328
121750817690928
138089c63c4105
1437c5db26930c
151a056ca96135
hexd1fcd935630

14430244132400 has 120 divisors (see below), whose sum is σ = 36365402179584. Its totient is φ = 5492229740800.

The previous prime is 14430244132399. The next prime is 14430244132411. The reversal of 14430244132400 is 423144203441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2348834 + ... + 5863233.

Almost surely, 214430244132400 is an apocalyptic number.

14430244132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14430244132400 is an abundant number, since it is smaller than the sum of its proper divisors (21935158047184).

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

14430244132400 is a wasteful number, since it uses less digits than its factorization.

14430244132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212299 (or 8212288 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14430244132400 its reverse (423144203441), we get a palindrome (14853388335841).

The spelling of 14430244132400 in words is "fourteen trillion, four hundred thirty billion, two hundred forty-four million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 191 200 230 368 382 400 460 575 764 920 955 1150 1528 1840 1910 2300 3056 3820 4393 4600 4775 7640 8786 9200 9550 15280 17572 19100 21965 35144 38200 43930 70288 76400 87860 109825 175720 219650 351440 439300 878600 1757200 8212067 16424134 32848268 41060335 65696536 82120670 131393072 164241340 188877541 205301675 328482680 377755082 410603350 656965360 755510164 821206700 944387705 1511020328 1568504797 1642413400 1888775410 3022040656 3137009594 3284826800 3777550820 4721938525 6274019188 7555101640 7842523985 9443877050 12548038376 15110203280 15685047970 18887754100 25096076752 31370095940 36075610331 37775508200 39212619925 62740191880 72151220662 75551016400 78425239850 125480383760 144302441324 156850479700 180378051655 288604882648 313700959400 360756103310 577209765296 627401918800 721512206620 901890258275 1443024413240 1803780516550 2886048826480 3607561033100 7215122066200 14430244132400