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14374002247000 = 2353112118793407
BaseRepresentation
bin1101000100101011010101…
…0011000100010101011000
31212220010210221010122010121
43101022311103010111120
53341000424033401000
650323154145123024
73012326114115244
oct321126523042530
955803727118117
1014374002247000
114641a865a2400
121741940329474
13803602427596
143799c3963424
1519dd7a238b1a
hexd12b54c4558

14374002247000 has 96 divisors (see below), whose sum is σ = 36970884437760. Its totient is φ = 5226909864000.

The previous prime is 14374002246991. The next prime is 14374002247001. The reversal of 14374002247000 is 74220047341.

It is a super-2 number, since 2×143740022470002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14374002247001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59275704 + ... + 59517703.

It is an arithmetic number, because the mean of its divisors is an integer number (385113379560).

Almost surely, 214374002247000 is an apocalyptic number.

14374002247000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14374002247000 is an abundant number, since it is smaller than the sum of its proper divisors (22596882190760).

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

14374002247000 is a wasteful number, since it uses less digits than its factorization.

14374002247000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118793450 (or 118793425 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The spelling of 14374002247000 in words is "fourteen trillion, three hundred seventy-four billion, two million, two hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 118793407 237586814 475173628 593967035 950347256 1187934070 1306727477 2375868140 2613454954 2969835175 4751736280 5226909908 5939670350 6533637385 10453819816 11879340700 13067274770 14374002247 14849175875 23758681400 26134549540 28748004494 29698351750 32668186925 52269099080 57496008988 59396703500 65336373850 71870011235 114992017976 118793407000 130672747700 143740022470 163340934625 261345495400 287480044940 326681869250 359350056175 574960089880 653363738500 718700112350 1306727477000 1437400224700 1796750280875 2874800449400 3593500561750 7187001123500 14374002247000