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13403132433040 = 2457229711150847
BaseRepresentation
bin1100001100001010100011…
…1100101001001010010000
31202110022211100021222120211
43003002220330221022100
53224044103400324130
644301151455413504
72552226054631300
oct303025074511220
952408740258524
1013403132433040
1142a8266926429
121605749b24294
13762baa26901c
14344a02225600
151839a6083a2a
hexc30a8f29290

13403132433040 has 120 divisors (see below), whose sum is σ = 36262235354112. Its totient is φ = 4593808961280.

The previous prime is 13403132433023. The next prime is 13403132433043. The reversal of 13403132433040 is 4033423130431.

It is a junction number, because it is equal to n+sod(n) for n = 13403132432993 and 13403132433011.

It is not an unprimeable number, because it can be changed into a prime (13403132433043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11070897 + ... + 12221743.

Almost surely, 213403132433040 is an apocalyptic number.

13403132433040 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 13403132433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131117677056).

13403132433040 is an abundant number, since it is smaller than the sum of its proper divisors (22859102921072).

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

13403132433040 is a wasteful number, since it uses less digits than its factorization.

13403132433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153845 (or 1153832 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 13403132433040 its reverse (4033423130431), we get a palindrome (17436555563471).

The spelling of 13403132433040 in words is "thirteen trillion, four hundred three billion, one hundred thirty-two million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 2971 3920 5942 11884 14855 20797 23768 29710 41594 47536 59420 83188 103985 118840 145579 166376 207970 237680 291158 332752 415940 582316 727895 831880 1150847 1164632 1455790 1663760 2301694 2329264 2911580 4603388 5754235 5823160 8055929 9206776 11508470 11646320 16111858 18413552 23016940 32223716 40279645 46033880 56391503 64447432 80559290 92067760 112783006 128894864 161118580 225566012 281957515 322237160 451132024 563915030 644474320 902264048 1127830060 2255660120 3419166437 4511320240 6838332874 13676665748 17095832185 23934165059 27353331496 34191664370 47868330118 54706662992 68383328740 95736660236 119670825295 136766657480 167539155413 191473320472 239341650590 273533314960 335078310826 382946640944 478683301180 670156621652 837695777065 957366602360 1340313243304 1675391554130 1914733204720 2680626486608 3350783108260 6701566216520 13403132433040