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13351453005140 = 22537831931126319
BaseRepresentation
bin1100001001001010000010…
…0111010001010101010100
31202021101102201100000222122
43002102200213101111110
53222222233432131030
644221323422115112
72545416311014265
oct302224047212524
952241381300878
1013351453005140
114288357171338
1215b772671ba98
1375b0625a36a3
143422dc84696c
1518247e0508e5
hexc24a09d1554

13351453005140 has 96 divisors (see below), whose sum is σ = 29293799109120. Its totient is φ = 5107032170496.

The previous prime is 13351453005139. The next prime is 13351453005167. The reversal of 13351453005140 is 4150035415331.

It is a super-2 number, since 2×133514530051402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13351453005140.

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, 11290901 + ... + 12417219.

It is an arithmetic number, because the mean of its divisors is an integer number (305143740720).

Almost surely, 213351453005140 is an apocalyptic number.

13351453005140 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 13351453005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14646899554560).

13351453005140 is an abundant number, since it is smaller than the sum of its proper divisors (15942346103980).

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

13351453005140 is a wasteful number, since it uses less digits than its factorization.

13351453005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126641 (or 1126639 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 13351453005140 in words is "thirteen trillion, three hundred fifty-one billion, four hundred fifty-three million, five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 83 148 166 185 193 332 370 386 415 740 772 830 965 1660 1930 3071 3860 6142 7141 12284 14282 15355 16019 28564 30710 32038 35705 61420 64076 71410 80095 142820 160190 320380 592703 1126319 1185406 2252638 2370812 2963515 4505276 5631595 5927030 11263190 11854060 22526380 41673803 83347606 93484477 166695212 186968954 208369015 217379567 373937908 416738030 434759134 467422385 833476060 869518268 934844770 1086897835 1869689540 2173795670 3458925649 4347591340 6917851298 8043043979 13835702596 16086087958 17294628245 18042504061 32172175916 34589256490 36085008122 40215219895 69178512980 72170016244 80430439790 90212520305 160860879580 180425040610 360850081220 667572650257 1335145300514 2670290601028 3337863251285 6675726502570 13351453005140