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211132404240 = 24351396328909
BaseRepresentation
bin1100010010100001111…
…0001101001000010000
3202011222011212102012120
43010220132031020100
511424344343413430
6240554244054240
721153025553022
oct3045036151020
9664864772176
10211132404240
11815a481328a
1234b03994380
1316ba97c4714
14a30c7ba012
15575a969610
hex312878d210

211132404240 has 80 divisors (see below), whose sum is σ = 659219265600. Its totient is φ = 55896915456.

The previous prime is 211132404221. The next prime is 211132404271. The reversal of 211132404240 is 42404231112.

It is a tau number, because it is divible by the number of its divisors (80).

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 211132404240.

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, 3131095 + ... + 3197814.

It is an arithmetic number, because the mean of its divisors is an integer number (8240240820).

Almost surely, 2211132404240 is an apocalyptic number.

211132404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211132404240 is an abundant number, since it is smaller than the sum of its proper divisors (448086861360).

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

211132404240 is a wasteful number, since it uses less digits than its factorization.

211132404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329064 (or 6329058 counting only the distinct ones).

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

Adding to 211132404240 its reverse (42404231112), we get a palindrome (253536635352).

The spelling of 211132404240 in words is "two hundred eleven billion, one hundred thirty-two million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 16680 33360 6328909 12657818 18986727 25315636 31644545 37973454 50631272 63289090 75946908 94933635 101262544 126578180 151893816 189867270 253156360 303787632 379734540 506312720 759469080 879718351 1518938160 1759436702 2639155053 3518873404 4398591755 5278310106 7037746808 8797183510 10556620212 13195775265 14075493616 17594367020 21113240424 26391550530 35188734040 42226480848 52783101060 70377468080 105566202120 211132404240