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211012404040144 = 24721123564142487
BaseRepresentation
bin101111111110101000100111…
…011000101101000111010000
31000200010120220020200021010001
4233332220213120231013100
5210124211400413241034
62024441432110415344
762306100040224400
oct5776504730550720
91020116806607101
10211012404040144
1161264948aa9203
121b7bb74b201554
1390984cc471c55
143a170aa710800
15195ddb46c9a14
hexbfea2762d1d0

211012404040144 has 120 divisors (see below), whose sum is σ = 476104439323968. Its totient is φ = 90335215111680.

The previous prime is 211012404040103. The next prime is 211012404040171. The reversal of 211012404040144 is 441040404210112.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4966495669 + ... + 4966538155.

Almost surely, 2211012404040144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012404040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238052219661984).

211012404040144 is an abundant number, since it is smaller than the sum of its proper divisors (265092035283824).

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

211012404040144 is a wasteful number, since it uses less digits than its factorization.

211012404040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49273 (or 49260 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 211012404040144 its reverse (441040404210112), we get a palindrome (652052808250256).

The spelling of 211012404040144 in words is "two hundred eleven trillion, twelve billion, four hundred four million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1123 2246 4492 5641 7861 8984 11282 15722 17968 22564 31444 39487 42487 45128 55027 62888 78974 84974 90256 110054 125776 157948 169948 220108 276409 297409 315896 339896 440216 552818 594818 631792 679792 880432 1105636 1189636 2081863 2211272 2379272 4163726 4422544 4758544 6334843 8327452 12669686 16654904 25339372 33309808 44343901 47712901 50678744 88687802 95425802 101357488 177375604 190851604 239669167 310407307 333990307 354751208 381703208 479338334 620814614 667980614 709502416 763406416 958676668 1241629228 1335961228 1677684169 1917353336 2337932149 2483258456 2671922456 3355368338 3834706672 4675864298 4966516912 5343844912 6710736676 9351728596 11743789183 13421473352 18703457192 23487578366 26842946704 37406914384 46975156732 93950313464 187900626928 269148474541 538296949082 1076593898164 1884039321787 2153187796328 3768078643574 4306375592656 7536157287148 13188275252509 15072314574296 26376550505018 30144629148592 52753101010036 105506202020072 211012404040144