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11514465102000 = 243537274153931
BaseRepresentation
bin1010011110001110101110…
…0110100010100010110000
31111202202211212111201010110
42213203223212202202300
53002123111031231000
640253401112101320
72265615115330020
oct247435346424260
944682755451113
1011514465102000
11373a291406663
12135b6b7094840
13656a6a337583
142bb435941a80
1514e7b7193850
hexa78eb9a28b0

11514465102000 has 160 divisors (see below), whose sum is σ = 42425869284864. Its totient is φ = 2631877728000.

The previous prime is 11514465101987. The next prime is 11514465102079. The reversal of 11514465102000 is 20156441511.

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

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, 137034966 + ... + 137118965.

Almost surely, 211514465102000 is an apocalyptic number.

11514465102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11514465102000 is an abundant number, since it is smaller than the sum of its proper divisors (30911404182864).

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

11514465102000 is a wasteful number, since it uses less digits than its factorization.

11514465102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274153964 (or 274153948 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 11514465102000 in words is "eleven trillion, five hundred fourteen billion, four hundred sixty-five million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 274153931 548307862 822461793 1096615724 1370769655 1644923586 1919077517 2193231448 2741539310 3289847172 3838155034 4112308965 4386462896 5483078620 5757232551 6579694344 6853848275 7676310068 8224617930 9595387585 10966157240 11514465102 13159388688 13707696550 15352620136 16449235860 19190775170 20561544825 21932314480 23028930204 27415393100 28786162755 30705240272 32898471720 34269241375 38381550340 41123089650 46057860408 47976937925 54830786200 57572325510 65796943440 68538482750 76763100680 82246179300 92115720816 95953875850 102807724125 109661572400 115144651020 137076965500 143930813775 153526201360 164492358600 191907751700 205615448250 230289302040 239884689625 274153931000 287861627550 328984717200 383815503400 411230896500 460578604080 479769379250 548307862000 575723255100 719654068875 767631006800 822461793000 959538758500 1151446510200 1439308137750 1644923586000 1919077517000 2302893020400 2878616275500 3838155034000 5757232551000 11514465102000