Search a number
-
+
21422452145440 = 255379373861961
BaseRepresentation
bin1001101111011110011011…
…01001100111110100100000
32210211222002112010110112211
410313233031221213310200
510301441140222123230
6113321201052131504
74340502222533623
oct467571551476440
983758075113484
1021422452145440
11690a235832525
12249b993a66b94
13bc518960ac68
14540bd06a3dba
152723a918842a
hex137bcda67d20

21422452145440 has 96 divisors (see below), whose sum is σ = 52033882393584. Its totient is φ = 8328486666240.

The previous prime is 21422452145377. The next prime is 21422452145443. The reversal of 21422452145440 is 4454125422412.

It can be written as a sum of positive squares in 8 ways, for example, as 11940314386576 + 9482137758864 = 3455476^2 + 3079308^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 21422452145393 and 21422452145402.

It is not an unprimeable number, because it can be changed into a prime (21422452145443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3616060 + ... + 7478020.

Almost surely, 221422452145440 is an apocalyptic number.

21422452145440 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 21422452145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26016941196792).

21422452145440 is an abundant number, since it is smaller than the sum of its proper divisors (30611430248144).

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

21422452145440 is a wasteful number, since it uses less digits than its factorization.

21422452145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862950 (or 3862942 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

Adding to 21422452145440 its reverse (4454125422412), we get a palindrome (25876577567852).

The spelling of 21422452145440 in words is "twenty-one trillion, four hundred twenty-two billion, four hundred fifty-two million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 937 1184 1480 1874 2960 3748 4685 5920 7496 9370 14992 18740 29984 34669 37480 69338 74960 138676 149920 173345 277352 346690 554704 693380 1109408 1386760 2773520 3861961 5547040 7723922 15447844 19309805 30895688 38619610 61791376 77239220 123582752 142892557 154478440 285785114 308956880 571570228 617913760 714462785 1143140456 1428925570 2286280912 2857851140 3618657457 4572561824 5715702280 7237314914 11431404560 14474629828 18093287285 22862809120 28949259656 36186574570 57898519312 72373149140 115797038624 133890325909 144746298280 267780651818 289492596560 535561303636 578985193120 669451629545 1071122607272 1338903259090 2142245214544 2677806518180 4284490429088 5355613036360 10711226072720 21422452145440