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404045324240 = 2456182796173
BaseRepresentation
bin1011110000100101111…
…10100101111111010000
31102121220121120010121112
411320102332211333100
523104441100333430
6505341005312452
741122422406145
oct5702276457720
91377817503545
10404045324240
1114639a063378
1266381b65728
132c14176bb1c
14157ad5543cc
15a79bb23195
hex5e12fa5fd0

404045324240 has 40 divisors (see below), whose sum is σ = 954805478568. Its totient is φ = 158968650240.

The previous prime is 404045324237. The next prime is 404045324251. The reversal of 404045324240 is 42423540404.

It can be written as a sum of positive squares in 4 ways, for example, as 22086715456 + 381958608784 = 148616^2 + 618028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 404045324197 and 404045324206.

It is a congruent number.

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, 41393207 + ... + 41402966.

Almost surely, 2404045324240 is an apocalyptic number.

404045324240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404045324240 is an abundant number, since it is smaller than the sum of its proper divisors (550760154328).

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

404045324240 is a wasteful number, since it uses less digits than its factorization.

404045324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82796247 (or 82796241 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 404045324240 its reverse (42423540404), we get a palindrome (446468864644).

The spelling of 404045324240 in words is "four hundred four billion, forty-five million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 82796173 165592346 331184692 413980865 662369384 827961730 1324738768 1655923460 3311846920 5050566553 6623693840 10101133106 20202266212 25252832765 40404532424 50505665530 80809064848 101011331060 202022662120 404045324240