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14444434122000 = 243536139465667
BaseRepresentation
bin1101001000110001101101…
…0111010110010100010000
31220010212121110010121010120
43102030123113112110100
53343124200113401000
650415403104430240
73020401354144551
oct322143327262420
956125543117116
1014444434122000
114669939550563
121753517918380
1380a148193a6c
1437d185a7a328
151a0aed7076a0
hexd231b5d6510

14444434122000 has 160 divisors (see below), whose sum is σ = 47332280671104. Its totient is φ = 3788703936000.

The previous prime is 14444434121977. The next prime is 14444434122043. The reversal of 14444434122000 is 22143444441.

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, 19366834 + ... + 20098833.

Almost surely, 214444434122000 is an apocalyptic number.

14444434122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444434122000 is an abundant number, since it is smaller than the sum of its proper divisors (32887846549104).

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

14444434122000 is a wasteful number, since it uses less digits than its factorization.

14444434122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39465754 (or 39465738 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 14444434122000 its reverse (22143444441), we get a palindrome (14466577566441).

The spelling of 14444434122000 in words is "fourteen trillion, four hundred forty-four billion, four hundred thirty-four million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 61 75 80 100 120 122 125 150 183 200 240 244 250 300 305 366 375 400 488 500 600 610 732 750 915 976 1000 1200 1220 1464 1500 1525 1830 2000 2440 2928 3000 3050 3660 4575 4880 6000 6100 7320 7625 9150 12200 14640 15250 18300 22875 24400 30500 36600 45750 61000 73200 91500 122000 183000 366000 39465667 78931334 118397001 157862668 197328335 236794002 315725336 394656670 473588004 591985005 631450672 789313340 947176008 986641675 1183970010 1578626680 1894352016 1973283350 2367940020 2407405687 2959925025 3157253360 3946566700 4735880040 4814811374 4933208375 5919850050 7222217061 7893133400 9471760080 9629622748 9866416750 11839700100 12037028435 14444434122 14799625125 15786266800 19259245496 19732833500 23679400200 24074056870 28888868244 29599250250 36111085305 38518490992 39465667000 47358800400 48148113740 57777736488 59198500500 60185142175 72222170610 78931334000 96296227480 115555472976 118397001000 120370284350 144444341220 180555426525 192592454960 236794002000 240740568700 288888682440 300925710875 361110853050 481481137400 577777364880 601851421750 722221706100 902777132625 962962274800 1203702843500 1444443412200 1805554265250 2407405687000 2888886824400 3611108530500 4814811374000 7222217061000 14444434122000