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14174740142000 = 245331701326141
BaseRepresentation
bin1100111001000101000001…
…0110011101011110110000
31212012002111000022220021122
43032101100112131132300
53324214331434021000
650051441414441412
72662043163142514
oct316212026353660
955162430286248
1014174740142000
114575523303689
12170b1ab963268
137ba897c55189
143700bd882144
15198ab6970085
hexce45059d7b0

14174740142000 has 160 divisors (see below), whose sum is σ = 35430731002368. Its totient is φ = 5479152000000.

The previous prime is 14174740141981. The next prime is 14174740142021. The reversal of 14174740142000 is 24104747141.

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, 43298930 + ... + 43625070.

Almost surely, 214174740142000 is an apocalyptic number.

14174740142000 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 14174740142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17715365501184).

14174740142000 is an abundant number, since it is smaller than the sum of its proper divisors (21255990860368).

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

14174740142000 is a wasteful number, since it uses less digits than its factorization.

14174740142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326896 (or 326880 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

Adding to 14174740142000 its reverse (24104747141), we get a palindrome (14198844889141).

The spelling of 14174740142000 in words is "fourteen trillion, one hundred seventy-four billion, seven hundred forty million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 701 775 1000 1240 1402 1550 2000 2480 2804 3100 3505 3875 5608 6200 7010 7750 11216 12400 14020 15500 17525 21731 28040 31000 35050 43462 56080 62000 70100 86924 87625 108655 140200 173848 175250 217310 280400 326141 347696 350500 434620 543275 652282 701000 869240 1086550 1304564 1402000 1630705 1738480 2173100 2609128 2716375 3261410 4346200 5218256 5432750 6522820 8153525 8692400 10110371 10865500 13045640 16307050 20220742 21731000 26091280 32614100 40441484 40767625 43462000 50551855 65228200 80882968 81535250 101103710 130456400 161765936 163070500 202207420 228624841 252759275 326141000 404414840 457249682 505518550 652282000 808829680 914499364 1011037100 1143124205 1263796375 1828998728 2022074200 2286248410 2527592750 3657997456 4044148400 4572496820 5055185500 5715621025 7087370071 9144993640 10110371000 11431242050 14174740142 18289987280 20220742000 22862484100 28349480284 28578105125 35436850355 45724968200 56698960568 57156210250 70873700710 91449936400 113397921136 114312420500 141747401420 177184251775 228624841000 283494802840 354368503550 457249682000 566989605680 708737007100 885921258875 1417474014200 1771842517750 2834948028400 3543685035500 7087370071000 14174740142000