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14014313401140 = 223251337847158243
BaseRepresentation
bin1100101111101111011000…
…1011000000101100110100
31211121202101121010001212200
43023323312023000230310
53314102303212314030
645450030420544500
72644333515302043
oct313736613005464
954552347101780
1014014313401140
114513489620828
1216a4099252130
137a870c473590
1436642140655a
151948277dad60
hexcbef62c0b34

14014313401140 has 144 divisors (see below), whose sum is σ = 45781589363328. Its totient is φ = 3449564197632.

The previous prime is 14014313401069. The next prime is 14014313401147. The reversal of 14014313401140 is 4110431341041.

14014313401140 is a `hidden beast` number, since 1 + 40 + 143 + 1 + 340 + 1 + 140 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14014313401147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88482859 + ... + 88641101.

It is an arithmetic number, because the mean of its divisors is an integer number (317927703912).

Almost surely, 214014313401140 is an apocalyptic number.

14014313401140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14014313401140 is an abundant number, since it is smaller than the sum of its proper divisors (31767275962188).

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

14014313401140 is a wasteful number, since it uses less digits than its factorization.

14014313401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196118 (or 196113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14014313401140 its reverse (4110431341041), we get a palindrome (18124744742181).

The spelling of 14014313401140 in words is "fourteen trillion, fourteen billion, three hundred thirteen million, four hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 37847 75694 113541 151388 158243 189235 227082 316486 340623 378470 454164 474729 492011 567705 632972 681246 756940 791215 949458 984022 1135410 1362492 1424187 1476033 1582430 1703115 1898916 1968044 2057159 2270820 2373645 2460055 2848374 2952066 3164860 3406230 4114318 4428099 4747290 4920110 5696748 5904132 6171477 6812460 7120935 7380165 8228636 8856198 9494580 9840220 10285795 12342954 14241870 14760330 17712396 18514431 20571590 22140495 24685908 28483740 29520660 30857385 37028862 41143180 44280990 61714770 74057724 88561980 92572155 123429540 185144310 370288620 5989022821 11978045642 17967068463 23956091284 29945114105 35934136926 53901205389 59890228210 71868273852 77857296673 89835342315 107802410778 119780456420 155714593346 179670684630 215604821556 233571890019 269506026945 311429186692 359341369260 389286483365 467143780038 539012053890 700715670057 778572966730 934287560076 1078024107780 1167859450095 1401431340114 1557145933460 2335718900190 2802862680228 3503578350285 4671437800380 7007156700570 14014313401140