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211423414240 = 25529411111351
BaseRepresentation
bin1100010011100111010…
…0010100011111100000
3202012201110110020212201
43010321310110133200
511430443343223430
6241043201302544
721163161240463
oct3047164243740
9665643406781
10211423414240
1181734007415
1234b85334a54
1316c24b9559c
14a3392cd2da
15577629e8ca
hex3139d147e0

211423414240 has 96 divisors (see below), whose sum is σ = 529314730560. Its totient is φ = 79661568000.

The previous prime is 211423414217. The next prime is 211423414253. The reversal of 211423414240 is 42414324112.

211423414240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211423414199 and 211423414208.

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, 365436 + ... + 745915.

It is an arithmetic number, because the mean of its divisors is an integer number (5513695110).

Almost surely, 2211423414240 is an apocalyptic number.

211423414240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211423414240 is an abundant number, since it is smaller than the sum of its proper divisors (317891316320).

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

211423414240 is a wasteful number, since it uses less digits than its factorization.

211423414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111436 (or 1111428 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 211423414240 its reverse (42414324112), we get a palindrome (253837738352).

The spelling of 211423414240 in words is "two hundred eleven billion, four hundred twenty-three million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 41 58 80 82 116 145 160 164 205 232 290 328 410 464 580 656 820 928 1160 1189 1312 1640 2320 2378 3280 4640 4756 5945 6560 9512 11890 19024 23780 38048 47560 95120 190240 1111351 2222702 4445404 5556755 8890808 11113510 17781616 22227020 32229179 35563232 44454040 45565391 64458358 88908080 91130782 128916716 161145895 177816160 182261564 227826955 257833432 322291790 364523128 455653910 515666864 644583580 729046256 911307820 1031333728 1289167160 1321396339 1458092512 1822615640 2578334320 2642792678 3645231280 5156668640 5285585356 6606981695 7290462560 10571170712 13213963390 21142341424 26427926780 42284682848 52855853560 105711707120 211423414240