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22322413131440 = 2451312130001253
BaseRepresentation
bin1010001001101010101111…
…00000010101011010110000
32221001000001100111102122012
411010311113200111122300
510411212300230201230
6115250435223302052
74462512130644002
oct504652740253260
987030040442565
1022322413131440
1171269782a5544
122606296baa928
13c5bcc0c87256
145725a6812372
1528a9cd05a395
hex144d578156b0

22322413131440 has 40 divisors (see below), whose sum is σ = 52295790788208. Its totient is φ = 8860805208320.

The previous prime is 22322413131427. The next prime is 22322413131539. The reversal of 22322413131440 is 4413131422322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×223224131314403 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22322413131397 and 22322413131406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064990147 + ... + 1065011106.

Almost surely, 222322413131440 is an apocalyptic number.

22322413131440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22322413131440 is an abundant number, since it is smaller than the sum of its proper divisors (29973377656768).

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

22322413131440 is a wasteful number, since it uses less digits than its factorization.

22322413131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130001397 (or 2130001391 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 22322413131440 its reverse (4413131422322), we get a palindrome (26735544553762).

The spelling of 22322413131440 in words is "twenty-two trillion, three hundred twenty-two billion, four hundred thirteen million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 2130001253 4260002506 8520005012 10650006265 17040010024 21300012530 34080020048 42600025060 85200050120 170400100240 279030164143 558060328286 1116120656572 1395150820715 2232241313144 2790301641430 4464482626288 5580603282860 11161206565720 22322413131440