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8234402002242 = 23133753463116273
BaseRepresentation
bin111011111010011100010…
…0110110011010101000010
31002011012102122002212120220
41313310320212303111002
52034403023403032432
625302455420243510
71506626105106663
oct167647046632502
932135378085526
108234402002242
112695210294949
12b0ba706a0596
1347966828c880
1420679368536a
15e42e06e572c
hex77d389b3542

8234402002242 has 128 divisors (see below), whose sum is σ = 18598898820096. Its totient is φ = 2413427208192.

The previous prime is 8234402002217. The next prime is 8234402002243. The reversal of 8234402002242 is 2422002044328.

It is not an unprimeable number, because it can be changed into a prime (8234402002243) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 70761418 + ... + 70877690.

It is an arithmetic number, because the mean of its divisors is an integer number (145303897032).

Almost surely, 28234402002242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8234402002242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9299449410048).

8234402002242 is an abundant number, since it is smaller than the sum of its proper divisors (10364496817854).

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

8234402002242 is a wasteful number, since it uses less digits than its factorization.

8234402002242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116844.

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 8234402002242 in words is "eight trillion, two hundred thirty-four billion, four hundred two million, two thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 37 39 53 74 78 106 111 159 222 318 463 481 689 926 962 1378 1389 1443 1961 2067 2778 2886 3922 4134 5883 6019 11766 12038 17131 18057 24539 25493 34262 36114 49078 50986 51393 73617 76479 102786 116273 147234 152958 222703 232546 319007 348819 445406 638014 668109 697638 907943 957021 1336218 1511549 1815886 1914042 2723829 3023098 4302101 4534647 5447658 6162469 8604202 9069294 11803259 12324938 12906303 18487407 23606518 25812606 35409777 36974814 53834399 55927313 70819554 80112097 107668798 111854626 160224194 161503197 167781939 228011353 240336291 323006394 335563878 456022706 480672582 684034059 699847187 1368068118 1399694374 1991872763 2099541561 2853223147 2964147589 3983745526 4199083122 5706446294 5928295178 5975618289 8559669441 8892442767 11951236578 17119338882 17784885534 25894345919 37091900911 51788691838 74183801822 77683037757 105569256439 111275702733 155366075514 211138512878 222551405466 316707769317 633415538634 1372400333707 2744800667414 4117201001121 8234402002242