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14223743460 = 223251275031237
BaseRepresentation
bin11010011111100110…
…10001100111100100
31100201021111000220100
431033303101213210
5213112234242320
610311224104100
71012322552553
oct151763214744
940637430810
1014223743460
116039a28a93
12290b605030
131458a8a464
1498d0b9d9a
15583acc790
hex34fcd19e4

14223743460 has 144 divisors (see below), whose sum is σ = 43606757376. Its totient is φ = 3752614656.

The previous prime is 14223743459. The next prime is 14223743483. The reversal of 14223743460 is 6434732241.

14223743460 is a `hidden beast` number, since 142 + 23 + 7 + 434 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 11497962 + ... + 11499198.

It is an arithmetic number, because the mean of its divisors is an integer number (302824704).

Almost surely, 214223743460 is an apocalyptic number.

14223743460 is a gapful number since it is divisible by the number (10) 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 14223743460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21803378688).

14223743460 is an abundant number, since it is smaller than the sum of its proper divisors (29383013916).

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

14223743460 is a wasteful number, since it uses less digits than its factorization.

14223743460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 14223743460 in words is "fourteen billion, two hundred twenty-three million, seven hundred forty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 503 508 635 762 1006 1143 1237 1270 1509 1524 1905 2012 2286 2474 2515 2540 3018 3711 3810 4527 4572 4948 5030 5715 6036 6185 7422 7545 7620 9054 10060 11133 11430 12370 14844 15090 18108 18555 22266 22635 22860 24740 30180 37110 44532 45270 55665 63881 74220 90540 111330 127762 157099 191643 222660 255524 314198 319405 383286 471297 574929 622211 628396 638810 766572 785495 942594 958215 1149858 1244422 1277620 1413891 1570990 1866633 1885188 1916430 2299716 2356485 2488844 2827782 2874645 3111055 3141980 3733266 3832860 4712970 5599899 5655564 5749290 6222110 7069455 7466532 9333165 9425940 11199798 11498580 12444220 14138910 18666330 22399596 27999495 28277820 37332660 55998990 79020797 111997980 158041594 237062391 316083188 395103985 474124782 711187173 790207970 948249564 1185311955 1422374346 1580415940 2370623910 2844748692 3555935865 4741247820 7111871730 14223743460