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21433254440 = 23513671016091
BaseRepresentation
bin10011111101100001…
…011000001000101000
32001022201110010201112
4103331201120020220
5322343403120230
613502445005452
71356064441163
oct237541301050
961281403645
1021433254440
1190a9571324
1241a1b53888
1320375ca7a0
1410747b2ada
158569cdd95
hex4fd858228

21433254440 has 128 divisors (see below), whose sum is σ = 53240181120. Its totient is φ = 7717248000.

The previous prime is 21433254419. The next prime is 21433254449. The reversal of 21433254440 is 4445233412.

It is a junction number, because it is equal to n+sod(n) for n = 21433254397 and 21433254406.

It is not an unprimeable number, because it can be changed into a prime (21433254449) 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, 3515795 + ... + 3521885.

It is an arithmetic number, because the mean of its divisors is an integer number (415938915).

Almost surely, 221433254440 is an apocalyptic number.

21433254440 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 21433254440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26620090560).

21433254440 is an abundant number, since it is smaller than the sum of its proper divisors (31806926680).

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

21433254440 is a wasteful number, since it uses less digits than its factorization.

21433254440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 21433254440 its reverse (4445233412), we get a palindrome (25878487852).

The spelling of 21433254440 in words is "twenty-one billion, four hundred thirty-three million, two hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 101 104 130 134 202 260 268 335 404 505 520 536 670 808 871 1010 1313 1340 1742 2020 2626 2680 3484 4040 4355 5252 6091 6565 6767 6968 8710 10504 12182 13130 13534 17420 24364 26260 27068 30455 33835 34840 48728 52520 54136 60910 67670 79183 87971 121820 135340 158366 175942 243640 270680 316732 351884 395915 408097 439855 615191 633464 703768 791830 816194 879710 1230382 1583660 1632388 1759420 2040485 2460764 3075955 3167320 3264776 3518840 4080970 4921528 5305261 6151910 7997483 8161940 10610522 12303820 15994966 16323880 21221044 24607640 26526305 31989932 39987415 41217797 42442088 53052610 63979864 79974830 82435594 106105220 159949660 164871188 206088985 212210440 319899320 329742376 412177970 535831361 824355940 1071662722 1648711880 2143325444 2679156805 4286650888 5358313610 10716627220 21433254440