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402211040040 = 233251117252889
BaseRepresentation
bin1011101101001011010…
…01010110101100101000
31102110011210000211201200
411312211221112230220
523042212011240130
6504435002244200
741026110300615
oct5664551265450
91373153024650
10402211040040
11145638712517
1265b4b7b6660
132bc0b736a64
1415677ab550c
15a6e0a96760
hex5da5a56b28

402211040040 has 48 divisors (see below), whose sum is σ = 1307185881300. Its totient is φ = 107256277248.

The previous prime is 402211040009. The next prime is 402211040051. The reversal of 402211040040 is 40040112204.

402211040040 is a `hidden beast` number, since 4 + 0 + 221 + 1 + 0 + 400 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 366966985284 + 35244054756 = 605778^2 + 187734^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 402211039995 and 402211040022.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558626085 + ... + 558626804.

Almost surely, 2402211040040 is an apocalyptic number.

402211040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402211040040 is an abundant number, since it is smaller than the sum of its proper divisors (904974841260).

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

402211040040 is a wasteful number, since it uses less digits than its factorization.

402211040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117252906 (or 1117252899 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 402211040040 its reverse (40040112204), we get a palindrome (442251152244).

The spelling of 402211040040 in words is "four hundred two billion, two hundred eleven million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1117252889 2234505778 3351758667 4469011556 5586264445 6703517334 8938023112 10055276001 11172528890 13407034668 16758793335 20110552002 22345057780 26814069336 33517586670 40221104004 44690115560 50276380005 67035173340 80442208008 100552760010 134070346680 201105520020 402211040040