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10340344012240 = 2451167307571267
BaseRepresentation
bin1001011001111000110010…
…0010000001110111010000
31100121112020100112110011001
42112132030202001313100
52323404011031342430
633554142150231344
72115031235615614
oct226361442016720
940545210473131
1010340344012240
1133273516938a0
1211b0040355554
135a01233a7308
1427a6923cb344
1512de993dd3ca
hex9678c881dd0

10340344012240 has 160 divisors (see below), whose sum is σ = 26705069766144. Its totient is φ = 3691932203520.

The previous prime is 10340344012169. The next prime is 10340344012291. The reversal of 10340344012240 is 4221044304301.

It is a junction number, because it is equal to n+sod(n) for n = 10340344012199 and 10340344012208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17815087 + ... + 18386353.

Almost surely, 210340344012240 is an apocalyptic number.

10340344012240 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 10340344012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13352534883072).

10340344012240 is an abundant number, since it is smaller than the sum of its proper divisors (16364725753904).

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

10340344012240 is a wasteful number, since it uses less digits than its factorization.

10340344012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571665 (or 571659 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10340344012240 its reverse (4221044304301), we get a palindrome (14561388316541).

The spelling of 10340344012240 in words is "ten trillion, three hundred forty billion, three hundred forty-four million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 307 335 440 536 614 670 737 880 1072 1228 1340 1474 1535 2456 2680 2948 3070 3377 3685 4912 5360 5896 6140 6754 7370 11792 12280 13508 14740 16885 20569 24560 27016 29480 33770 41138 54032 58960 67540 82276 102845 135080 164552 205690 226259 270160 329104 411380 452518 571267 822760 905036 1131295 1142534 1645520 1810072 2262590 2285068 2856335 3620144 4525180 4570136 5712670 6283937 9050360 9140272 11425340 12567874 18100720 22850680 25135748 31419685 38274889 45701360 50271496 62839370 76549778 100542992 125678740 153099556 175378969 191374445 251357480 306199112 350757938 382748890 421023779 502714960 612398224 701515876 765497780 842047558 876894845 1403031752 1530995560 1684095116 1753789690 1929168659 2105118895 2806063504 3061991120 3368190232 3507579380 3858337318 4210237790 6736380464 7015158760 7716674636 8420475580 9645843295 11750390923 14030317520 15433349272 16840951160 19291686590 23500781846 30866698544 33681902320 38583373180 47001563692 58751954615 77166746360 94003127384 117503909230 129254300153 154333492720 188006254768 235007818460 258508600306 470015636920 517017200612 646271500765 940031273840 1034034401224 1292543001530 2068068802448 2585086003060 5170172006120 10340344012240