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1014432444324 = 2233132027356453
BaseRepresentation
bin11101100001100001110…
…00101010111110100100
310120222102112121120011000
432300300320222332210
5113110024201204244
62054005051513300
7133201403335125
oct16606070527644
93528375546130
101014432444324
11361244739a32
1214472b458830
1374878368720
143715512c04c
151b5c381b169
hexec30e2afa4

1014432444324 has 96 divisors (see below), whose sum is σ = 2833723751040. Its totient is φ = 311978196864.

The previous prime is 1014432444323. The next prime is 1014432444353. The reversal of 1014432444324 is 4234442344101.

1014432444324 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 324 + 4 + 4 + 324 = 666.

1014432444324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1014432444323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2667682 + ... + 3024134.

It is an arithmetic number, because the mean of its divisors is an integer number (29517955740).

Almost surely, 21014432444324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014432444324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416861875520).

1014432444324 is an abundant number, since it is smaller than the sum of its proper divisors (1819291306716).

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

1014432444324 is a wasteful number, since it uses less digits than its factorization.

1014432444324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358506 (or 358498 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1014432444324 its reverse (4234442344101), we get a palindrome (5248874788425).

The spelling of 1014432444324 in words is "one trillion, fourteen billion, four hundred thirty-two million, four hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2027 4054 6081 8108 12162 18243 24324 26351 36486 52702 54729 72972 79053 105404 109458 158106 218916 237159 316212 356453 474318 711477 712906 948636 1069359 1422954 1425812 2138718 2845908 3208077 4277436 4633889 6416154 9267778 9624231 12832308 13901667 18535556 19248462 27803334 38496924 41705001 55606668 83410002 125115003 166820004 250230006 500460012 722530231 1445060462 2167590693 2890120924 4335181386 6502772079 8670362772 9392893003 13005544158 18785786006 19508316237 26011088316 28178679009 37571572012 39016632474 56357358018 78033264948 84536037027 112714716036 169072074054 253608111081 338144148108 507216222162 1014432444324