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404122113240 = 23354378318239
BaseRepresentation
bin1011110000101111000…
…11100001010011011000
31102122002222001102022120
411320113203201103120
523110120230110430
6505352351221240
741124344166606
oct5702743412330
91378088042276
10404122113240
1114642944105a
12663a3817820
132c1546467c1
14157b9822876
15a7a3740610
hex5e178e14d8

404122113240 has 64 divisors (see below), whose sum is σ = 1240560921600. Its totient is φ = 105259711872.

The previous prime is 404122113229. The next prime is 404122113247. The reversal of 404122113240 is 42311221404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 404122113240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404122113247) 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 15 ways as a sum of consecutive naturals, for example, 39153960 + ... + 39164279.

It is an arithmetic number, because the mean of its divisors is an integer number (19383764400).

Almost surely, 2404122113240 is an apocalyptic number.

404122113240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404122113240 is an abundant number, since it is smaller than the sum of its proper divisors (836438808360).

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

404122113240 is a wasteful number, since it uses less digits than its factorization.

404122113240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78318296 (or 78318292 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 404122113240 its reverse (42311221404), we get a palindrome (446433334644).

The spelling of 404122113240 in words is "four hundred four billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 78318239 156636478 234954717 313272956 391591195 469909434 626545912 783182390 939818868 1174773585 1566364780 1879637736 2349547170 3132729560 3367684277 4699094340 6735368554 9398188680 10103052831 13470737108 16838421385 20206105662 26941474216 33676842770 40412211324 50515264155 67353685540 80824422648 101030528310 134707371080 202061056620 404122113240