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140515613323440 = 243513739181109073
BaseRepresentation
bin11111111100110001010111…
…001101111011000010110000
3200102112011100200200021010020
4133330301113031323002300
5121404201434002322230
61214503552010003440
741411626614155025
oct3774612715730260
9612464320607106
10140515613323440
1140855378539733
1213914a4a716580
1360537474895a4
14269adc5d8954c
15113a200bd4810
hex7fcc5737b0b0

140515613323440 has 160 divisors (see below), whose sum is σ = 438793173314496. Its totient is φ = 37196030115840.

The previous prime is 140515613323427. The next prime is 140515613323457. The reversal of 140515613323440 is 44323316515041.

It is a junction number, because it is equal to n+sod(n) for n = 140515613323392 and 140515613323401.

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, 1288216744 + ... + 1288325816.

Almost surely, 2140515613323440 is an apocalyptic number.

140515613323440 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 140515613323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219396586657248).

140515613323440 is an abundant number, since it is smaller than the sum of its proper divisors (298277559991056).

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

140515613323440 is a wasteful number, since it uses less digits than its factorization.

140515613323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148407 (or 148401 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 140515613323440 its reverse (44323316515041), we get a palindrome (184838929838481).

The spelling of 140515613323440 in words is "one hundred forty trillion, five hundred fifteen billion, six hundred thirteen million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 16440 32880 39181 78362 109073 117543 156724 195905 218146 235086 313448 327219 391810 436292 470172 545365 587715 626896 654438 783620 872584 940344 1090730 1175430 1308876 1567240 1636095 1745168 1880688 2181460 2350860 2617752 3134480 3272190 4362920 4701720 5235504 5367797 6544380 8725840 9403440 10735594 13088760 14943001 16103391 21471188 26177520 26838985 29886002 32206782 42942376 44829003 53677970 59772004 64413564 74715005 80516955 85884752 89658006 107355940 119544008 128827128 149430010 161033910 179316012 214711880 224145015 239088016 257654256 298860020 322067820 358632024 429423760 448290030 597720040 644135640 717264048 896580060 1195440080 1288271280 1793160120 3586320240 4273589213 8547178426 12820767639 17094356852 21367946065 25641535278 34188713704 42735892130 51283070556 64103838195 68377427408 85471784260 102566141112 128207676390 170943568520 205132282224 256415352780 341887137040 512830705560 585481722181 1025661411120 1170963444362 1756445166543 2341926888724 2927408610905 3512890333086 4683853777448 5854817221810 7025780666172 8782225832715 9367707554896 11709634443620 14051561332344 17564451665430 23419268887240 28103122664688 35128903330860 46838537774480 70257806661720 140515613323440