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13441421400 = 23352112036579
BaseRepresentation
bin11001000010010101…
…11101000001011000
31021200202101221210020
430201022331001120
5210012000441100
610101440150440
7654043124331
oct144112750130
937622357706
1013441421400
115778371930
122731608420
131362986ab4
14917233288
1553a0985a0
hex3212bd058

13441421400 has 96 divisors (see below), whose sum is σ = 45456465600. Its totient is φ = 3258524800.

The previous prime is 13441421333. The next prime is 13441421401. The reversal of 13441421400 is 412414431.

It is a super-3 number, since 3×134414214003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13441421401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011690 + ... + 1024889.

It is an arithmetic number, because the mean of its divisors is an integer number (473504850).

Almost surely, 213441421400 is an apocalyptic number.

13441421400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13441421400 is an abundant number, since it is smaller than the sum of its proper divisors (32015044200).

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

13441421400 is a wasteful number, since it uses less digits than its factorization.

13441421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036609 (or 2036600 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13441421400 its reverse (412414431), we get a palindrome (13853835831).

The spelling of 13441421400 in words is "thirteen billion, four hundred forty-one million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 2036579 4073158 6109737 8146316 10182895 12219474 16292632 20365790 22402369 24438948 30548685 40731580 44804738 48877896 50914475 61097370 67207107 81463160 89609476 101828950 112011845 122194740 134414214 152743425 179218952 203657900 224023690 244389480 268828428 305486850 336035535 407315800 448047380 537656856 560059225 610973700 672071070 896094760 1120118450 1221947400 1344142140 1680177675 2240236900 2688284280 3360355350 4480473800 6720710700 13441421400