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211000440040 = 235131036939133
BaseRepresentation
bin1100010010000010011…
…0110011010011101000
3202011121222112221100121
43010200212303103220
511424112103040130
6240533211413024
721146534101525
oct3044046632350
9664558487317
10211000440040
118153727a665
1234a87754174
1316b8836bbb0
14a2d906814c
15574e09dd7a
hex31209b34e8

211000440040 has 64 divisors (see below), whose sum is σ = 511332670800. Its totient is φ = 77898350592.

The previous prime is 211000440037. The next prime is 211000440073. The reversal of 211000440040 is 40044000112.

It can be written as a sum of positive squares in 8 ways, for example, as 56961459556 + 154038980484 = 238666^2 + 392478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211000439996 and 211000440023.

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, 5372314 + ... + 5411446.

Almost surely, 2211000440040 is an apocalyptic number.

211000440040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000440040 is an abundant number, since it is smaller than the sum of its proper divisors (300332230760).

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

211000440040 is a wasteful number, since it uses less digits than its factorization.

211000440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49526 (or 49522 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 211000440040 its reverse (40044000112), we get a palindrome (251044440152).

The spelling of 211000440040 in words is "two hundred eleven billion, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 10369 20738 39133 41476 51845 78266 82952 103690 134797 156532 195665 207380 269594 313064 391330 414760 508729 539188 673985 782660 1017458 1078376 1347970 1565320 2034916 2543645 2695940 4069832 5087290 5391880 10174580 20349160 405770077 811540154 1623080308 2028850385 3246160616 4057700770 5275011001 8115401540 10550022002 16230803080 21100044004 26375055005 42200088008 52750110010 105500220020 211000440040