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21411133240 = 23571033372203
BaseRepresentation
bin10011111100001100…
…111111011100111000
32001021011211021010211
4103330030333130320
5322322222230430
613500334520504
71355405425660
oct237414773470
961234737124
1021411133240
119098032342
124196666134
132032b53a13
1410718951a0
15854aae72a
hex4fc33f738

21411133240 has 128 divisors (see below), whose sum is σ = 55782005760. Its totient is φ = 7244826624.

The previous prime is 21411133199. The next prime is 21411133241. The reversal of 21411133240 is 4233111412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21411133241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9717979 + ... + 9720181.

It is an arithmetic number, because the mean of its divisors is an integer number (435796920).

Almost surely, 221411133240 is an apocalyptic number.

21411133240 is a gapful number since it is divisible by the number (20) 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 21411133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27891002880).

21411133240 is an abundant number, since it is smaller than the sum of its proper divisors (34370872520).

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

21411133240 is a wasteful number, since it uses less digits than its factorization.

21411133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 21411133240 its reverse (4233111412), we get a palindrome (25644244652).

The spelling of 21411133240 in words is "twenty-one billion, four hundred eleven million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 337 412 515 674 721 824 1030 1348 1442 1685 2060 2203 2359 2696 2884 3370 3605 4120 4406 4718 5768 6740 7210 8812 9436 11015 11795 13480 14420 15421 17624 18872 22030 23590 28840 30842 34711 44060 47180 61684 69422 77105 88120 94360 123368 138844 154210 173555 226909 242977 277688 308420 347110 453818 485954 616840 694220 742411 907636 971908 1134545 1214885 1388440 1484822 1588363 1815272 1943816 2269090 2429770 2969644 3176726 3712055 4538180 4859540 5196877 5939288 6353452 7424110 7941815 9076360 9719080 10393754 12706904 14848220 15883630 20787508 25984385 29696440 31767260 41575016 51968770 63534520 76468333 103937540 152936666 207875080 305873332 382341665 535278331 611746664 764683330 1070556662 1529366660 2141113324 2676391655 3058733320 4282226648 5352783310 10705566620 21411133240