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14144326361360 = 2451379409420919
BaseRepresentation
bin1100110111010011101110…
…0011000110000100010000
31212002011222102102202120122
43031310323203012010100
53323220040022030420
650025451441525412
72656615410235226
oct315647343060420
955064872382518
1014144326361360
114563636542088
121705322343868
137b7a5bc35180
1436c8364c6b16
15197dd685e725
hexcdd3b8c6110

14144326361360 has 160 divisors (see below), whose sum is σ = 35951282304000. Its totient is φ = 5143793061888.

The previous prime is 14144326361273. The next prime is 14144326361371. The reversal of 14144326361360 is 6316362344141.

It is a happy number.

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, 33392981 + ... + 33813899.

It is an arithmetic number, because the mean of its divisors is an integer number (224695514400).

Almost surely, 214144326361360 is an apocalyptic number.

14144326361360 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 14144326361360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975641152000).

14144326361360 is an abundant number, since it is smaller than the sum of its proper divisors (21806955942640).

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

14144326361360 is a wasteful number, since it uses less digits than its factorization.

14144326361360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421433 (or 421427 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 14144326361360 in words is "fourteen trillion, one hundred forty-four billion, three hundred twenty-six million, three hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 79 80 104 130 158 208 260 316 395 409 520 632 790 818 1027 1040 1264 1580 1636 2045 2054 3160 3272 4090 4108 5135 5317 6320 6544 8180 8216 10270 10634 16360 16432 20540 21268 26585 32311 32720 41080 42536 53170 64622 82160 85072 106340 129244 161555 212680 258488 323110 420043 420919 425360 516976 646220 840086 841838 1292440 1680172 1683676 2100215 2104595 2584880 3360344 3367352 4200430 4209190 5471947 6720688 6734704 8400860 8418380 10943894 16801720 16836760 21887788 27359735 33252601 33603440 33673520 43775576 54719470 66505202 87551152 109438940 133010404 166263005 172155871 218877880 266020808 332526010 344311742 432283813 437755760 532041616 665052020 688623484 860779355 864567626 1330104040 1377246968 1721558710 1729135252 2161419065 2238026323 2660208080 2754493936 3443117420 3458270504 4322838130 4476052646 6886234840 6916541008 8645676260 8952105292 11190131615 13600313809 13772469680 17291352520 17904210584 22380263230 27200627618 34582705040 35808421168 44760526460 54401255236 68001569045 89521052920 108802510472 136003138090 176804079517 179042105840 217605020944 272006276180 353608159034 544012552360 707216318068 884020397585 1088025104720 1414432636136 1768040795170 2828865272272 3536081590340 7072163180680 14144326361360