Search a number
-
+
224013000044031 = 311411791451637463
BaseRepresentation
bin110010111011110100010111…
…010010101110110111111111
31002101011102201010122221000120
4302323310113102232313333
5213330212111002402111
62112234052421430023
765120255654032542
oct6273642722566777
91071142633587016
10224013000044031
116541741a5774a0
122115b27856b313
1397cc448757093
143d4640395c859
151ad715b340406
hexcbbd174aedff

224013000044031 has 64 divisors (see below), whose sum is σ = 335880903536640. Its totient is φ = 131623153760000.

The previous prime is 224013000044023. The next prime is 224013000044059. The reversal of 224013000044031 is 130440000310422.

It is a cyclic number.

It is not a de Polignac number, because 224013000044031 - 23 = 224013000044023 is a prime.

It is a super-2 number, since 2×2240130000440312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224013000043992 and 224013000044010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224013000044081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351094606 + ... + 351732068.

It is an arithmetic number, because the mean of its divisors is an integer number (5248139117760).

Almost surely, 2224013000044031 is an apocalyptic number.

224013000044031 is a deficient number, since it is larger than the sum of its proper divisors (111867903492609).

224013000044031 is a wasteful number, since it uses less digits than its factorization.

224013000044031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639148.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 224013000044031 its reverse (130440000310422), we get a palindrome (354453000354453).

The spelling of 224013000044031 in words is "two hundred twenty-four trillion, thirteen billion, forty-four thousand, thirty-one".

Divisors: 1 3 11 33 41 123 179 451 537 1353 1451 1969 4353 5907 7339 15961 22017 47883 59491 80729 178473 242187 259729 637463 654401 779187 1912389 1963203 2857019 7012093 8571057 10648889 21036279 26135983 31946667 78407949 114105877 117137779 287495813 342317631 351413337 862487439 924958813 1255164647 2774876439 3765493941 4678340957 10174546943 14035022871 30523640829 37923311333 51461750527 113769933999 154385251581 165567627527 417156424663 496702882581 1251469273989 1821243902797 5463731708391 6788272728607 20364818185821 74671000014677 224013000044031