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211132403440 = 24572192834753
BaseRepresentation
bin1100010010100001111…
…0001100111011110000
3202011222011212101002221
43010220132030323300
511424344343402230
6240554244050424
721153025550500
oct3045036147360
9664864771087
10211132403440
11815a4812722
1234b03993a14
1316ba97c424a
14a30c7b9a00
15575a96927a
hex312878cef0

211132403440 has 120 divisors (see below), whose sum is σ = 601081238160. Its totient is φ = 68578320384.

The previous prime is 211132403429. The next prime is 211132403479. The reversal of 211132403440 is 44304231112.

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, 1342897 + ... + 1491856.

It is an arithmetic number, because the mean of its divisors is an integer number (5009010318).

Almost surely, 2211132403440 is an apocalyptic number.

211132403440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211132403440 is an abundant number, since it is smaller than the sum of its proper divisors (389948834720).

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

211132403440 is a wasteful number, since it uses less digits than its factorization.

211132403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834799 (or 2834786 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 211132403440 its reverse (44304231112), we get a palindrome (255436634552).

The spelling of 211132403440 in words is "two hundred eleven billion, one hundred thirty-two million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 76 80 95 98 112 133 140 152 190 196 245 266 280 304 380 392 490 532 560 665 760 784 931 980 1064 1330 1520 1862 1960 2128 2660 3724 3920 4655 5320 7448 9310 10640 14896 18620 37240 74480 2834753 5669506 11339012 14173765 19843271 22678024 28347530 39686542 45356048 53860307 56695060 79373084 99216355 107720614 113390120 138902897 158746168 198432710 215441228 226780240 269301535 277805794 317492336 377022149 396865420 430882456 538603070 555611588 694514485 754044298 793730840 861764912 1077206140 1111223176 1389028970 1508088596 1587461680 1885110745 2154412280 2222446352 2639155043 2778057940 3016177192 3770221490 4308824560 5278310086 5556115880 6032354384 7540442980 10556620172 11112231760 13195775215 15080885960 21113240344 26391550430 30161771920 42226480688 52783100860 105566201720 211132403440