Search a number
-
+
22131121341440 = 21054322484637
BaseRepresentation
bin1010000100000110011011…
…01000000100010000000000
32220100201021220020122112002
411002003031220010100000
510400044014030411230
6115022521412323132
74442630550364226
oct502031550042000
986321256218462
1022131121341440
117062835049411
1225951ab9134a8
13c46c56b33477
1456721b0acb16
15285a34376545
hex1420cda04400

22131121341440 has 44 divisors (see below), whose sum is σ = 53088756323916. Its totient is φ = 8852448534528.

The previous prime is 22131121341403. The next prime is 22131121341493. The reversal of 22131121341440 is 4414312113122.

It can be written as a sum of positive squares in 2 ways, for example, as 7689662104576 + 14441459236864 = 2773024^2 + 3800192^2 .

It is a super-2 number, since 2×221311213414402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2161237199 + ... + 2161247438.

Almost surely, 222131121341440 is an apocalyptic number.

22131121341440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131121341440 is an abundant number, since it is smaller than the sum of its proper divisors (30957634982476).

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

22131121341440 is an equidigital number, since it uses as much as digits as its factorization.

22131121341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322484662 (or 4322484644 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 22131121341440 its reverse (4414312113122), we get a palindrome (26545433454562).

The spelling of 22131121341440 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred twenty-one million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 4322484637 8644969274 17289938548 21612423185 34579877096 43224846370 69159754192 86449692740 138319508384 172899385480 276639016768 345798770960 553278033536 691597541920 1106556067072 1383195083840 2213112134144 2766390167680 4426224268288 5532780335360 11065560670720 22131121341440