Search a number
-
+
13041445440 = 263575118089
BaseRepresentation
bin11000010010101010…
…01010101001000000
31020122212210001220210
430021111022221000
5203202102223230
65554031234120
7641115312552
oct141125125100
936585701823
1013041445440
115592612a91
12263b678940
1312cab5342a
148ba0774d2
15514ddbeb0
hex30954aa40

13041445440 has 112 divisors (see below), whose sum is σ = 41464016640. Its totient is φ = 3472896000.

The previous prime is 13041445421. The next prime is 13041445451. The reversal of 13041445440 is 4454414031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13041445398 and 13041445407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711916 + ... + 730004.

Almost surely, 213041445440 is an apocalyptic number.

13041445440 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 13041445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20732008320).

13041445440 is an abundant number, since it is smaller than the sum of its proper divisors (28422571200).

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

13041445440 is a wasteful number, since it uses less digits than its factorization.

13041445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18860 (or 18850 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 13041445440 its reverse (4454414031), we get a palindrome (17495859471).

The spelling of 13041445440 in words is "thirteen billion, forty-one million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 751 960 1502 2253 3004 3755 4506 6008 7510 9012 11265 12016 15020 18024 18089 22530 24032 30040 36048 36178 45060 48064 54267 60080 72096 72356 90120 90445 108534 120160 144192 144712 180240 180890 217068 240320 271335 289424 360480 361780 434136 542670 578848 720960 723560 868272 1085340 1157696 1447120 1736544 2170680 2894240 3473088 4341360 5788480 8682720 13584839 17365440 27169678 40754517 54339356 67924195 81509034 108678712 135848390 163018068 203772585 217357424 271696780 326036136 407545170 434714848 543393560 652072272 815090340 869429696 1086787120 1304144544 1630180680 2173574240 2608289088 3260361360 4347148480 6520722720 13041445440