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13310431433240 = 2356764113615693
BaseRepresentation
bin1100000110110001001110…
…0010011001001000011000
31202010110112212000021021212
43001230103202121020120
53221034230421330430
644150421111322252
72542434620265614
oct301542342311030
952113485007255
1013310431433240
114271a165a61a7
1215ab798680388
137572259a0216
1434032a714344
1518137ca25b95
hexc1b13899218

13310431433240 has 128 divisors (see below), whose sum is σ = 30470601021120. Its totient is φ = 5231758540800.

The previous prime is 13310431433171. The next prime is 13310431433261. The reversal of 13310431433240 is 4233413401331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13310431433197 and 13310431433206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2338031834 + ... + 2338037526.

Almost surely, 213310431433240 is an apocalyptic number.

13310431433240 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 13310431433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15235300510560).

13310431433240 is an abundant number, since it is smaller than the sum of its proper divisors (17160169587880).

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

13310431433240 is a wasteful number, since it uses less digits than its factorization.

13310431433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 13310431433240 its reverse (4233413401331), we get a palindrome (17543844834571).

The spelling of 13310431433240 in words is "thirteen trillion, three hundred ten billion, four hundred thirty-one million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 641 670 1282 1340 1361 2564 2680 2722 3205 5128 5444 5693 6410 6805 10888 11386 12820 13610 22772 25640 27220 28465 42947 45544 54440 56930 85894 91187 113860 171788 182374 214735 227720 343576 364748 381431 429470 455935 729496 762862 858940 872401 911870 1525724 1717880 1744802 1823740 1907155 3051448 3489604 3647480 3649213 3814310 4362005 6979208 7298426 7628620 7748173 8724010 14596852 15257240 15496346 17448020 18246065 29193704 30992692 34896040 36492130 38740865 58450867 61985384 72984260 77481730 116901734 145968520 154963460 233803468 244497271 292254335 309926920 467606936 488994542 519127591 584508670 977989084 1038255182 1169017340 1222486355 1955978168 2076510364 2338034680 2444972710 2595637955 4153020728 4889945420 4966578893 5191275910 9779890840 9933157786 10382551820 19866315572 20765103640 24832894465 39732631144 49665788930 99331577860 198663155720 332760785831 665521571662 1331043143324 1663803929155 2662086286648 3327607858310 6655215716620 13310431433240