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211204114440 = 233511881918143
BaseRepresentation
bin1100010010110010111…
…1110000100000001000
3202012011011210200002220
43010230233300200020
511430021223130230
6241005325054040
721154556231454
oct3045457604010
9665134720086
10211204114440
1181631242210
1234b239b7320
1316bbb6117a7
14a318125664
155761dd1d10
hex312cbf0808

211204114440 has 128 divisors (see below), whose sum is σ = 691329945600. Its totient is φ = 51192369920.

The previous prime is 211204114439. The next prime is 211204114447. The reversal of 211204114440 is 44411402112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 211204114440.

It is not an unprimeable number, because it can be changed into a prime (211204114447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11632009 + ... + 11650151.

It is an arithmetic number, because the mean of its divisors is an integer number (5401015200).

Almost surely, 2211204114440 is an apocalyptic number.

211204114440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211204114440 is an abundant number, since it is smaller than the sum of its proper divisors (480125831160).

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

211204114440 is a wasteful number, since it uses less digits than its factorization.

211204114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26987 (or 26983 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 211204114440 its reverse (44411402112), we get a palindrome (255615516552).

The spelling of 211204114440 in words is "two hundred eleven billion, two hundred four million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 8819 17638 18143 26457 35276 36286 44095 52914 54429 70552 72572 88190 90715 97009 105828 108858 132285 145144 176380 181430 194018 199573 211656 217716 264570 272145 291027 352760 362860 388036 399146 435432 485045 529140 544290 582054 598719 725720 776072 798292 970090 997865 1058280 1088580 1164108 1197438 1455135 1596584 1940180 1995730 2177160 2328216 2394876 2910270 2993595 3880360 3991460 4789752 5820540 5987190 7982920 11641080 11974380 23948760 160003117 320006234 480009351 640012468 800015585 960018702 1280024936 1600031170 1760034287 1920037404 2400046755 3200062340 3520068574 3840074808 4800093510 5280102861 6400124680 7040137148 8800171435 9600187020 10560205722 14080274296 17600342870 19200374040 21120411444 26400514305 35200685740 42240822888 52801028610 70401371480 105602057220 211204114440