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14430013114000 = 2453113121158377
BaseRepresentation
bin1101000111111011111111…
…0011100100011010010000
31220002111101102110111011011
43101332333303210122100
53342410131324122000
650405020112300304
73016351114456501
oct321767763443220
956074342414134
1014430013114000
114663809238830
121750772241694
1380898a599433
1437c5b86d0ba8
151a05576612ba
hexd1fbfce4690

14430013114000 has 160 divisors (see below), whose sum is σ = 39291615747072. Its totient is φ = 5078010240000.

The previous prime is 14430013113973. The next prime is 14430013114009. The reversal of 14430013114000 is 41131003441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (14430013114009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9897189 + ... + 11261188.

Almost surely, 214430013114000 is an apocalyptic number.

14430013114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14430013114000 is an abundant number, since it is smaller than the sum of its proper divisors (24861602633072).

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

14430013114000 is a wasteful number, since it uses less digits than its factorization.

14430013114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21158442 (or 21158426 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 14430013114000 its reverse (41131003441), we get a palindrome (14471144117441).

The spelling of 14430013114000 in words is "fourteen trillion, four hundred thirty billion, thirteen million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 125 155 176 200 220 248 250 275 310 341 400 440 496 500 550 620 682 775 880 1000 1100 1240 1364 1375 1550 1705 2000 2200 2480 2728 2750 3100 3410 3875 4400 5456 5500 6200 6820 7750 8525 11000 12400 13640 15500 17050 22000 27280 31000 34100 42625 62000 68200 85250 136400 170500 341000 682000 21158377 42316754 84633508 105791885 169267016 211583770 232742147 338534032 423167540 465484294 528959425 655909687 846335080 930968588 1057918850 1163710735 1311819374 1692670160 1861937176 2115837700 2327421470 2623638748 2644797125 3279548435 3723874352 4231675400 4654842940 5247277496 5289594250 5818553675 6559096870 7215006557 8463350800 9309685880 10494554992 10579188500 11637107350 13118193740 14430013114 16397742175 18619371760 21158377000 23274214700 26236387480 28860026228 29092768375 32795484350 36075032785 42316754000 46548429400 52472774960 57720052456 58185536750 65590968700 72150065570 81988710875 93096858800 115440104912 116371073500 131181937400 144300131140 163977421750 180375163925 232742147000 262363874800 288600262280 327954843500 360750327850 465484294000 577200524560 655909687000 721500655700 901875819625 1311819374000 1443001311400 1803751639250 2886002622800 3607503278500 7215006557000 14430013114000