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404425413440 = 2651443787541
BaseRepresentation
bin1011110001010011010…
…00100001001101000000
31102122220002202122222022
411320221220201031000
523111230401212230
6505442424101012
741135016203006
oct5705150411500
91378802678868
10404425413440
11146574669a84
1266469304768
132c1a242b789
1415807c14a76
15a7c01a21e5
hex5e29a21340

404425413440 has 56 divisors (see below), whose sum is σ = 963115723752. Its totient is φ = 161757112320.

The previous prime is 404425413409. The next prime is 404425413443. The reversal of 404425413440 is 44314524404.

It can be written as a sum of positive squares in 4 ways, for example, as 33729526336 + 370695887104 = 183656^2 + 608848^2 .

It is a super-2 number, since 2×4044254134402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404425413440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404425413443) 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, 4576070 + ... + 4663610.

It is an arithmetic number, because the mean of its divisors is an integer number (17198495067).

Almost surely, 2404425413440 is an apocalyptic number.

404425413440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404425413440 is an abundant number, since it is smaller than the sum of its proper divisors (558690310312).

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

404425413440 is a wasteful number, since it uses less digits than its factorization.

404425413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101995 (or 101985 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 404425413440 its reverse (44314524404), we get a palindrome (448739937844).

The spelling of 404425413440 in words is "four hundred four billion, four hundred twenty-five million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 14437 28874 57748 72185 87541 115496 144370 175082 230992 288740 350164 437705 461984 577480 700328 875410 923968 1154960 1400656 1750820 2309920 2801312 3501640 4619840 5602624 7003280 14006560 28013120 1263829417 2527658834 5055317668 6319147085 10110635336 12638294170 20221270672 25276588340 40442541344 50553176680 80885082688 101106353360 202212706720 404425413440