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22322421402144 = 2531283211812059
BaseRepresentation
bin1010001001101010101111…
…11111111000101000100000
32221001000001221001121220120
411010311113333320220200
510411212304334332034
6115250440120440240
74462512261151563
oct504652777705040
987030057047816
1022322421402144
117126981a34436
122606299919080
13c5bcc28c1966
145725a79664da
1528a9cdb40c49
hex144d57ff8a20

22322421402144 has 48 divisors (see below), whose sum is σ = 58596845156640. Its totient is φ = 7440745041920.

The previous prime is 22322421402139. The next prime is 22322421402161. The reversal of 22322421402144 is 44120412422322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×223224214021443 (a number of 41 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 11412787 + ... + 13224845.

It is an arithmetic number, because the mean of its divisors is an integer number (1220767607430).

Almost surely, 222322421402144 is an apocalyptic number.

22322421402144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22322421402144 is an abundant number, since it is smaller than the sum of its proper divisors (36274423754496).

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

22322421402144 is a wasteful number, since it uses less digits than its factorization.

22322421402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940393 (or 1940385 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 22322421402144 its reverse (44120412422322), we get a palindrome (66442833824466).

The spelling of 22322421402144 in words is "twenty-two trillion, three hundred twenty-two billion, four hundred twenty-one million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 128321 256642 384963 513284 769926 1026568 1539852 1812059 2053136 3079704 3624118 4106272 5436177 6159408 7248236 10872354 12318816 14496472 21744708 28992944 43489416 57985888 86978832 173957664 232525222939 465050445878 697575668817 930100891756 1395151337634 1860201783512 2790302675268 3720403567024 5580605350536 7440807134048 11161210701072 22322421402144