Search a number
-
+
1045523007424 = 26717913037747
BaseRepresentation
bin11110011011011100000…
…01110000011111000000
310200221200021222210212001
433031232001300133000
5114112212342214144
62120150122313344
7135352014634210
oct17155601603700
93627607883761
101045523007424
11373449532185
1214a767658854
137779165901c
143886433a240
151c2e3064bd4
hexf36e0707c0

1045523007424 has 56 divisors (see below), whose sum is σ = 2384343354240. Its totient is φ = 445578007296.

The previous prime is 1045523007421. The next prime is 1045523007439. The reversal of 1045523007424 is 4247003255401.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045523007421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6438682 + ... + 6599065.

Almost surely, 21045523007424 is an apocalyptic number.

1045523007424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1045523007424 is an abundant number, since it is smaller than the sum of its proper divisors (1338820346816).

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

1045523007424 is a wasteful number, since it uses less digits than its factorization.

1045523007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13037945 (or 13037935 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

The spelling of 1045523007424 in words is "one trillion, forty-five billion, five hundred twenty-three million, seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 179 224 358 448 716 1253 1432 2506 2864 5012 5728 10024 11456 20048 40096 80192 13037747 26075494 52150988 91264229 104301976 182528458 208603952 365056916 417207904 730113832 834415808 1460227664 2333756713 2920455328 4667513426 5840910656 9335026852 16336296991 18670053704 32672593982 37340107408 65345187964 74680214816 130690375928 149360429632 261380751856 522761503712 1045523007424