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1004434543232 = 27171097420781
BaseRepresentation
bin11101001110111001111…
…01101101001010000000
310120000121202210120011222
432213130331231022000
5112424040220340412
62045233022054212
7132365552514341
oct16473475551200
93500552716158
101004434543232
11357a8412895a
121427bb11a368
1373943c34713
14368873940c8
151b1dac25072
hexe9dcf6d280

1004434543232 has 64 divisors (see below), whose sum is σ = 2120665539240. Its totient is φ = 472243077120.

The previous prime is 1004434543159. The next prime is 1004434543237. The reversal of 1004434543232 is 2323454344001.

It can be written as a sum of positive squares in 4 ways, for example, as 897233306176 + 107201237056 = 947224^2 + 327416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1004434543192 and 1004434543201.

It is not an unprimeable number, because it can be changed into a prime (1004434543237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2176682 + ... + 2597462.

Almost surely, 21004434543232 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 1004434543232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060332769620).

1004434543232 is an abundant number, since it is smaller than the sum of its proper divisors (1116230996008).

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

1004434543232 is a wasteful number, since it uses less digits than its factorization.

1004434543232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421909 (or 421897 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 1004434543232 its reverse (2323454344001), we get a palindrome (3327888887233).

The spelling of 1004434543232 in words is "one trillion, four billion, four hundred thirty-four million, five hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 1097 2176 2194 4388 8776 17552 18649 35104 37298 70208 74596 140416 149192 298384 420781 596768 841562 1193536 1683124 2387072 3366248 6732496 7153277 13464992 14306554 26929984 28613108 53859968 57226216 114452432 228904864 457809728 461596757 915619456 923193514 1846387028 3692774056 7385548112 7847144869 14771096224 15694289738 29542192448 31388579476 59084384896 62777158952 125554317904 251108635808 502217271616 1004434543232