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2144013274000 = 245313142757787
BaseRepresentation
bin11111001100110001001…
…001100100101110010000
321120222001222020011200001
4133030301021210232100
5240111414344232000
64320540205135344
7310620435064453
oct37146111445620
97528058204601
102144013274000
117572a86650a4
122a763585a554
131272447148c0
1475ab10c949a
153ab861e746a
hex1f331264b90

2144013274000 has 160 divisors (see below), whose sum is σ = 5587019657856. Its totient is φ = 791067225600.

The previous prime is 2144013273979. The next prime is 2144013274019. The reversal of 2144013274000 is 4723104412.

It is a self number, because there is not a number n which added to its sum of digits gives 2144013274000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37073107 + ... + 37130893.

Almost surely, 22144013274000 is an apocalyptic number.

2144013274000 is a gapful number since it is divisible by the number (20) 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 2144013274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793509828928).

2144013274000 is an abundant number, since it is smaller than the sum of its proper divisors (3443006383856).

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

2144013274000 is a wasteful number, since it uses less digits than its factorization.

2144013274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59250 (or 59234 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 2144013274000 its reverse (4723104412), we get a palindrome (2148736378412).

The spelling of 2144013274000 in words is "two trillion, one hundred forty-four billion, thirteen million, two hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1427 1625 2000 2600 2854 3250 5200 5708 6500 7135 11416 13000 14270 18551 22832 26000 28540 35675 37102 57080 57787 71350 74204 92755 114160 115574 142700 148408 178375 185510 231148 285400 288935 296816 356750 371020 462296 463775 570800 577870 713500 742040 751231 924592 927550 1155740 1427000 1444675 1484080 1502462 1855100 2311480 2318875 2854000 2889350 3004924 3710200 3756155 4622960 4637750 5778700 6009848 7223375 7420400 7512310 9275500 11557400 12019696 14446750 15024620 18551000 18780775 23114800 28893500 30049240 37102000 37561550 57787000 60098480 75123100 82462049 93903875 115574000 150246200 164924098 187807750 300492400 329848196 375615500 412310245 659696392 751231000 824620490 1072006637 1319392784 1502462000 1649240980 2061551225 2144013274 3298481960 4123102450 4288026548 5360033185 6596963920 8246204900 8576053096 10307756125 10720066370 16492409800 17152106192 20615512250 21440132740 26800165925 32984819600 41231024500 42880265480 53600331850 82462049000 85760530960 107200663700 134000829625 164924098000 214401327400 268001659250 428802654800 536003318500 1072006637000 2144013274000