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14345224311000 = 2335311434703767
BaseRepresentation
bin1101000011000000000111…
…1111111101000011011000
31212210101112100101000102010
43100300001333331003120
53340013004410423000
650302034410105520
73010260013521222
oct320600177750330
955711470330363
1014345224311000
114630859165120
12173824a71b2a0
138009972b069b
1437845394d412
1519d243a57d50
hexd0c01ffd0d8

14345224311000 has 128 divisors (see below), whose sum is σ = 48825927221760. Its totient is φ = 3477630128000.

The previous prime is 14345224310987. The next prime is 14345224311053. The reversal of 14345224311000 is 11342254341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 217318884 + ... + 217384883.

It is an arithmetic number, because the mean of its divisors is an integer number (381452556420).

Almost surely, 214345224311000 is an apocalyptic number.

14345224311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14345224311000 is an abundant number, since it is smaller than the sum of its proper divisors (34480702910760).

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

14345224311000 is a wasteful number, since it uses less digits than its factorization.

14345224311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434703802 (or 434703788 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14345224311000 its reverse (11342254341), we get a palindrome (14356566565341).

The spelling of 14345224311000 in words is "fourteen trillion, three hundred forty-five billion, two hundred twenty-four million, three hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 434703767 869407534 1304111301 1738815068 2173518835 2608222602 3477630136 4347037670 4781741437 5216445204 6520556505 8694075340 9563482874 10432890408 10867594175 13041113010 14345224311 17388150680 19126965748 21735188350 23908707185 26082226020 28690448622 32602782525 38253931496 43470376700 47817414370 52164452040 54337970875 57380897244 65205565050 71726121555 86940753400 95634828740 108675941750 114761794488 119543535925 130411130100 143452243110 163013912625 191269657480 217351883500 239087071850 260822260200 286904486220 326027825250 358630607775 434703767000 478174143700 573808972440 597717679625 652055650500 717261215550 956348287400 1195435359250 1304111301000 1434522431100 1793153038875 2390870718500 2869044862200 3586306077750 4781741437000 7172612155500 14345224311000