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213243040144 = 24232591672557
BaseRepresentation
bin1100011010011001000…
…1101001000110010000
3202101102021101211100201
43012212101221012100
511443210204241034
6241543522224544
721256234635331
oct3064621510620
9671367354321
10213243040144
1182488156282
12353b27b5154
1317154b676c4
14a46cc34288
155830dd3014
hex31a6469190

213243040144 has 120 divisors (see below), whose sum is σ = 442026083520. Its totient is φ = 99617912064.

The previous prime is 213243040069. The next prime is 213243040147. The reversal of 213243040144 is 441040342312.

It is not an unprimeable number, because it can be changed into a prime (213243040147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83394514 + ... + 83397070.

It is an arithmetic number, because the mean of its divisors is an integer number (3683550696).

Almost surely, 2213243040144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213243040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221013041760).

213243040144 is an abundant number, since it is smaller than the sum of its proper divisors (228783043376).

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

213243040144 is a wasteful number, since it uses less digits than its factorization.

213243040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 213243040144 its reverse (441040342312), we get a palindrome (654283382456).

The spelling of 213243040144 in words is "two hundred thirteen billion, two hundred forty-three million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 59 92 118 167 184 236 334 368 472 529 668 944 1058 1336 1357 2116 2557 2672 2714 3841 4232 5114 5428 7682 8464 9853 10228 10856 15364 19706 20456 21712 30728 31211 39412 40912 58811 61456 62422 78824 88343 117622 124844 150863 157648 176686 226619 235244 249688 301726 353372 427019 453238 470488 499376 603452 706744 854038 906476 940976 1206904 1352653 1413488 1708076 1812952 2413808 2705306 3416152 3469849 3625904 5212237 5410612 6832304 6939698 9821437 10424474 10821224 13879396 19642874 20848948 21642448 25194121 27758792 39285748 41697896 50388242 55517584 78571496 79806527 83395792 100776484 157142992 159613054 201552968 225893051 319226108 403105936 451786102 579464783 638452216 903572204 1158929566 1276904432 1807144408 2317859132 3614288816 4635718264 9271436528 13327690009 26655380018 53310760036 106621520072 213243040144