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212414343110240 = 25519118975873173
BaseRepresentation
bin110000010011000010010001…
…011101110101111001100000
31000212002121112210101000200212
4300103002101131311321200
5210320144033314011430
62031433445130233252
762512300303550135
oct6023022135657140
91025077483330625
10212414343110240
1161755465067567
121b9a73a5885828
13916a781a0bb7b
143a64ca267458c
1519855b7bb3b95
hexc13091775e60

212414343110240 has 96 divisors (see below), whose sum is σ = 528285423345120. Its totient is φ = 80487076737024.

The previous prime is 212414343110237. The next prime is 212414343110267. The reversal of 212414343110240 is 42011343414212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 212414343110197 and 212414343110206.

It is a congruent number.

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, 33230294 + ... + 39103466.

It is an arithmetic number, because the mean of its divisors is an integer number (5502973159845).

Almost surely, 2212414343110240 is an apocalyptic number.

212414343110240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414343110240 is an abundant number, since it is smaller than the sum of its proper divisors (315871080234880).

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

212414343110240 is a wasteful number, since it uses less digits than its factorization.

212414343110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885104 (or 5885096 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 212414343110240 its reverse (42011343414212), we get a palindrome (254425686524452).

The spelling of 212414343110240 in words is "two hundred twelve trillion, four hundred fourteen billion, three hundred forty-three million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 11897 23794 47588 59485 95176 118970 190352 226043 237940 380704 452086 475880 904172 951760 1130215 1808344 1903520 2260430 3616688 4520860 5873173 7233376 9041720 11746346 18083440 23492692 29365865 36166880 46985384 58731730 93970768 111590287 117463460 187941536 223180574 234926920 446361148 469853840 557951435 892722296 939707680 1115902870 1785444592 2231805740 3570889184 4463611480 8927222960 17854445920 69873139181 139746278362 279492556724 349365695905 558985113448 698731391810 1117970226896 1327589644439 1397462783620 2235940453792 2655179288878 2794925567240 5310358577756 5589851134480 6637948222195 10620717155512 11179702268960 13275896444390 21241434311024 26551792888780 42482868622048 53103585777560 106207171555120 212414343110240