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212140303202040 = 23356736717187581
BaseRepresentation
bin110000001111000011000011…
…011010100011011011111000
31000211010102012110221022010020
4300033003003122203123320
5210301201320104431130
62031103524312050440
762453426322013353
oct6017030332433370
91024112173838106
10212140303202040
116165a219742494
121b962266393a20
13914a98b2bcb35
143a559071d929a
15197d3c9623e10
hexc0f0c36a36f8

212140303202040 has 128 divisors (see below), whose sum is σ = 646095771025920. Its totient is φ = 55711220083200.

The previous prime is 212140303202027. The next prime is 212140303202071. The reversal of 212140303202040 is 40202303041212.

It is a happy number.

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 212140303202040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25921050 + ... + 33108630.

It is an arithmetic number, because the mean of its divisors is an integer number (5047623211140).

Almost surely, 2212140303202040 is an apocalyptic number.

212140303202040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212140303202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323047885512960).

212140303202040 is an abundant number, since it is smaller than the sum of its proper divisors (433955467823880).

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

212140303202040 is a wasteful number, since it uses less digits than its factorization.

212140303202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191333 (or 7191329 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212140303202040 its reverse (40202303041212), we get a palindrome (252342606243252).

The spelling of 212140303202040 in words is "two hundred twelve trillion, one hundred forty billion, three hundred three million, two hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 3671 4020 7342 8040 11013 14684 18355 22026 29368 36710 44052 55065 73420 88104 110130 146840 220260 245957 440520 491914 737871 983828 1229785 1475742 1967656 2459570 2951484 3689355 4919140 5902968 7187581 7378710 9838280 14375162 14757420 21562743 28750324 29514840 35937905 43125486 57500648 71875810 86250972 107813715 143751620 172501944 215627430 287503240 431254860 481567927 862509720 963135854 1444703781 1926271708 2407839635 2889407562 3852543416 4815679270 5778815124 7223518905 9631358540 11557630248 14447037810 19262717080 26385609851 28894075620 52771219702 57788151240 79156829553 105542439404 131928049255 158313659106 211084878808 263856098510 316627318212 395784147765 527712197020 633254636424 791568295530 1055424394040 1583136591060 1767835860017 3166273182120 3535671720034 5303507580051 7071343440068 8839179300085 10607015160102 14142686880136 17678358600170 21214030320204 26517537900255 35356717200340 42428060640408 53035075800510 70713434400680 106070151601020 212140303202040