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14114000302440 = 2335457387766383
BaseRepresentation
bin1100110101100010101111…
…1110010111000101101000
31211222021200221121100110020
43031120223332113011220
53322220433034134230
650003514321120440
72654463041054253
oct315305376270550
954867627540406
1014114000302440
114551794246175
1216bb47a189120
137b4c3814a0cc
1436b19aa4409a
1519720e2ca810
hexcd62bf97168

14114000302440 has 128 divisors (see below), whose sum is σ = 42446237621760. Its totient is φ = 3754472454144.

The previous prime is 14114000302433. The next prime is 14114000302489. The reversal of 14114000302440 is 4420300041141.

It is a super-2 number, since 2×141140003024402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14114000302440.

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, 212581489 + ... + 212647871.

It is an arithmetic number, because the mean of its divisors is an integer number (331611231420).

Almost surely, 214114000302440 is an apocalyptic number.

14114000302440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14114000302440 is an abundant number, since it is smaller than the sum of its proper divisors (28332237319320).

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

14114000302440 is a wasteful number, since it uses less digits than its factorization.

14114000302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70731 (or 70727 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14114000302440 its reverse (4420300041141), we get a palindrome (18534300343581).

The spelling of 14114000302440 in words is "fourteen trillion, one hundred fourteen billion, three hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 457 914 1371 1828 2285 2742 3656 3877 4570 5484 6855 7754 9140 10968 11631 13710 15508 18280 19385 23262 27420 31016 38770 46524 54840 58155 66383 77540 93048 116310 132766 155080 199149 232620 265532 331915 398298 465240 531064 663830 796596 995745 1327660 1593192 1771789 1991490 2655320 3543578 3982980 5315367 7087156 7965960 8858945 10630734 14174312 17717890 21261468 26576835 30337031 35435780 42522936 53153670 60674062 70871560 91011093 106307340 121348124 151685155 182022186 212614680 242696248 257366891 303370310 364044372 455055465 514733782 606740620 728088744 772100673 910110930 1029467564 1213481240 1286834455 1544201346 1820221860 2058935128 2573668910 3088402692 3640443720 3860503365 5147337820 6176805384 7721006730 10294675640 15442013460 30884026920 117616669187 235233338374 352850007561 470466676748 588083345935 705700015122 940933353496 1176166691870 1411400030244 1764250037805 2352333383740 2822800060488 3528500075610 4704666767480 7057000151220 14114000302440