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21441130340 = 22576112172063
BaseRepresentation
bin10011111101111111…
…011010111101100100
32001100021021021102112
4103331333122331210
5322402412132330
613503325500152
71356221413040
oct237577327544
961307237375
1021441130340
119102a60633
1241a4711658
132039127596
141075863020
15857537795
hex4fdfdaf64

21441130340 has 96 divisors (see below), whose sum is σ = 52370648064. Its totient is φ = 7221288960.

The previous prime is 21441130339. The next prime is 21441130349. The reversal of 21441130340 is 4303114412.

It is not an unprimeable number, because it can be changed into a prime (21441130349) 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, 10392149 + ... + 10394211.

It is an arithmetic number, because the mean of its divisors is an integer number (545527584).

Almost surely, 221441130340 is an apocalyptic number.

21441130340 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 21441130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26185324032).

21441130340 is an abundant number, since it is smaller than the sum of its proper divisors (30929517724).

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

21441130340 is a wasteful number, since it uses less digits than its factorization.

21441130340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21441130340 its reverse (4303114412), we get a palindrome (25744244752).

The spelling of 21441130340 in words is "twenty-one billion, four hundred forty-one million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1217 1220 1708 2063 2135 2434 4126 4270 4868 6085 8252 8519 8540 10315 12170 14441 17038 20630 24340 28882 34076 41260 42595 57764 72205 74237 85190 125843 144410 148474 170380 251686 288820 296948 371185 503372 519659 629215 742370 880901 1039318 1258430 1484740 1761802 2078636 2510671 2516860 2598295 3523604 4404505 5021342 5196590 8809010 10042684 10393180 12553355 17574697 17618020 25106710 35149394 50213420 70298788 87873485 153150931 175746970 306301862 351493940 612603724 765754655 1072056517 1531509310 2144113034 3063018620 4288226068 5360282585 10720565170 21441130340