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840235015242 = 232737827217933
BaseRepresentation
bin11000011101000011110…
…10001101110001001010
32222022210102102021210100
430032201322031301022
5102231300130441432
61441555412230230
7114463543534320
oct14164172156112
92868712367710
10840235015242
112a4383841207
12116a1500b376
1361306925bbc
142c94bc2bd10
1516cca74d07c
hexc3a1e8dc4a

840235015242 has 96 divisors (see below), whose sum is σ = 2139407517312. Its totient is φ = 233295334272.

The previous prime is 840235015223. The next prime is 840235015307. The reversal of 840235015242 is 242510532048.

840235015242 is a `hidden beast` number, since 8 + 40 + 23 + 501 + 52 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 840235015197 and 840235015206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3746508 + ... + 3964440.

It is an arithmetic number, because the mean of its divisors is an integer number (22285494972).

Almost surely, 2840235015242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840235015242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069703758656).

840235015242 is an abundant number, since it is smaller than the sum of its proper divisors (1299172502070).

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

840235015242 is a wasteful number, since it uses less digits than its factorization.

840235015242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218812 (or 218809 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 840235015242 in words is "eight hundred forty billion, two hundred thirty-five million, fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 827 1554 1654 2331 2481 4662 4962 5789 7443 11578 14886 17367 30599 34734 52101 61198 91797 104202 183594 214193 217933 275391 428386 435866 550782 642579 653799 1285158 1307598 1525531 1927737 1961397 3051062 3855474 3922794 4576593 8063521 9153186 13729779 16127042 24190563 27459558 48381126 56444647 72571689 112889294 145143378 169333941 180230591 338667882 360461182 508001823 540691773 1016003646 1081383546 1261614137 1622075319 2523228274 3244150638 3784842411 6668531867 7569684822 11354527233 13337063734 20005595601 22709054466 40011191202 46679723069 60016786803 93359446138 120033573606 140039169207 280078338414 420117507621 840235015242