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22142113411240 = 2351825330326677
BaseRepresentation
bin1010000100011010111001…
…10011011111000010101000
32220101202122221202122120101
411002031130303133002220
510400234022013124430
6115031540234435144
74443500132421034
oct502153463370250
986352587678511
1022142113411240
117067465860119
122597358b92ab4
13c47cb9212394
14567980cb71c4
15285e7939adca
hex14235ccdf0a8

22142113411240 has 32 divisors (see below), whose sum is σ = 49822486219080. Its totient is φ = 8856359845632.

The previous prime is 22142113411147. The next prime is 22142113411267. The reversal of 22142113411240 is 4211431124122.

It can be written as a sum of positive squares in 4 ways, for example, as 12520118870884 + 9621994540356 = 3538378^2 + 3101934^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22142113411199 and 22142113411208.

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, 14433219 + ... + 15893458.

Almost surely, 222142113411240 is an apocalyptic number.

22142113411240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142113411240 is an abundant number, since it is smaller than the sum of its proper divisors (27680372807840).

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

22142113411240 is a wasteful number, since it uses less digits than its factorization.

22142113411240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30344941 (or 30344937 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 22142113411240 its reverse (4211431124122), we get a palindrome (26353544535362).

The spelling of 22142113411240 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirteen million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 18253 36506 73012 91265 146024 182530 365060 730120 30326677 60653354 121306708 151633385 242613416 303266770 606533540 1213067080 553552835281 1107105670562 2214211341124 2767764176405 4428422682248 5535528352810 11071056705620 22142113411240