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21422000122440 = 2335741772406631
BaseRepresentation
bin1001101111011101100101…
…01101010010101001001000
32210211220221000120022120020
410313232302231102221020
510301434224012404230
6113321044143500440
74340455063440411
oct467566255225110
983756830508506
1021422000122440
11690a0236649a5
12249b8885b7720
13bc5116a83528
14540b8a63a808
1527237e64a810
hex137bb2b52a48

21422000122440 has 64 divisors (see below), whose sum is σ = 64266893458560. Its totient is φ = 5712453980160.

The previous prime is 21422000122363. The next prime is 21422000122463. The reversal of 21422000122440 is 4422100022412.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21422000122440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7697925 + ... + 10104555.

It is an arithmetic number, because the mean of its divisors is an integer number (1004170210290).

Almost surely, 221422000122440 is an apocalyptic number.

21422000122440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21422000122440 is an abundant number, since it is smaller than the sum of its proper divisors (42844893336120).

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

21422000122440 is a wasteful number, since it uses less digits than its factorization.

21422000122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480822 (or 2480818 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 21422000122440 its reverse (4422100022412), we get a palindrome (25844100144852).

The spelling of 21422000122440 in words is "twenty-one trillion, four hundred twenty-two billion, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 74177 148354 222531 296708 370885 445062 593416 741770 890124 1112655 1483540 1780248 2225310 2406631 2967080 4450620 4813262 7219893 8901240 9626524 12033155 14439786 19253048 24066310 28879572 36099465 48132620 57759144 72198930 96265240 144397860 288795720 178516667687 357033335374 535550003061 714066670748 892583338435 1071100006122 1428133341496 1785166676870 2142200012244 2677750015305 3570333353740 4284400024488 5355500030610 7140666707480 10711000061220 21422000122440