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211456040240 = 24523479323977
BaseRepresentation
bin1100010011101111000…
…0110001110100110000
3202012210201211211100002
43010323300301310300
511431030221241430
6241050324445132
721164035454144
oct3047360616460
9665721754302
10211456040240
1181750470855
1234b942497a8
1316c2b879903
14a33d783224
155779096845
hex313bc31d30

211456040240 has 80 divisors (see below), whose sum is σ = 513139174848. Its totient is φ = 80884666368.

The previous prime is 211456040239. The next prime is 211456040267. The reversal of 211456040240 is 42040654112.

211456040240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 8807132 + ... + 8831108.

Almost surely, 2211456040240 is an apocalyptic number.

211456040240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211456040240 is an abundant number, since it is smaller than the sum of its proper divisors (301683134608).

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

211456040240 is a wasteful number, since it uses less digits than its factorization.

211456040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28806 (or 28800 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 211456040240 its reverse (42040654112), we get a palindrome (253496694352).

The spelling of 211456040240 in words is "two hundred eleven billion, four hundred fifty-six million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 4793 9586 19172 23965 23977 38344 47930 47954 76688 95860 95908 110239 119885 191720 191816 220478 239770 383440 383632 440956 479540 551195 551471 881912 959080 1102390 1102942 1763824 1918160 2204780 2205884 2757355 4409560 4411768 5514710 8819120 8823536 11029420 22058840 44117680 114921761 229843522 459687044 574608805 919374088 1149217610 1838748176 2298435220 2643200503 4596870440 5286401006 9193740880 10572802012 13216002515 21145604024 26432005030 42291208048 52864010060 105728020120 211456040240