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404000130440 = 235191307406717
BaseRepresentation
bin1011110000100000100…
…10001100010110001000
31102121210110112001101002
411320100102030112020
523104343013133230
6505332312514132
741121333306614
oct5702022142610
91377713461332
10404000130440
111463765a5625
126636a9ab948
132c1352a722a
14157a754c344
15a797b97545
hex5e1048c588

404000130440 has 64 divisors (see below), whose sum is σ = 957576859200. Its totient is φ = 152977275648.

The previous prime is 404000130427. The next prime is 404000130461. The reversal of 404000130440 is 44031000404.

It is a super-2 number, since 2×4040001304402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789962 + ... + 1196678.

It is an arithmetic number, because the mean of its divisors is an integer number (14962138425).

Almost surely, 2404000130440 is an apocalyptic number.

404000130440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404000130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478788429600).

404000130440 is an abundant number, since it is smaller than the sum of its proper divisors (553576728760).

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

404000130440 is a wasteful number, since it uses less digits than its factorization.

404000130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408054 (or 408050 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 404000130440 its reverse (44031000404), we get a palindrome (448031130844).

The spelling of 404000130440 in words is "four hundred four billion, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1307 2614 5228 6535 10456 13070 24833 26140 49666 52280 99332 124165 198664 248330 406717 496660 813434 993320 1626868 2033585 3253736 4067170 7727623 8134340 15455246 16268680 30910492 38638115 61820984 77276230 154552460 309104920 531579119 1063158238 2126316476 2657895595 4252632952 5315791190 10100003261 10631582380 20200006522 21263164760 40400013044 50500016305 80800026088 101000032610 202000065220 404000130440