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42343334002296 = 23325332293436439
BaseRepresentation
bin10011010000010110100110…
…11000011011111001111000
312112220222112202021021212200
421220023103120123321320
521022223122001033141
6230020131544310200
711630130201315315
oct1150132330337170
9175828482237780
1042343334002296
1112545786179498
1248ba508a72360
131a81c61668bc2
14a655dd385d0c
154d66a990cab6
hex2682d361be78

42343334002296 has 96 divisors (see below), whose sum is σ = 116879853636000. Its totient is φ = 13843841686272.

The previous prime is 42343334002289. The next prime is 42343334002367. The reversal of 42343334002296 is 69220043334324.

42343334002296 is a `hidden beast` number, since 4 + 23 + 4 + 3 + 334 + 0 + 0 + 2 + 296 = 666.

42343334002296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 10603645 + ... + 14040083.

It is an arithmetic number, because the mean of its divisors is an integer number (1217498475375).

Almost surely, 242343334002296 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 42343334002296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58439926818000).

42343334002296 is an abundant number, since it is smaller than the sum of its proper divisors (74536519633704).

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

42343334002296 is a wasteful number, since it uses less digits than its factorization.

42343334002296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439733 (or 3439726 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 45.

The spelling of 42343334002296 in words is "forty-two trillion, three hundred forty-three billion, three hundred thirty-four million, two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3229 3816 6458 9687 12916 19374 25832 29061 38748 58122 77496 116244 171137 232488 342274 513411 684548 1026822 1369096 1540233 2053644 3080466 3436439 4107288 6160932 6872878 10309317 12321864 13745756 20618634 27491512 30927951 41237268 61855902 82474536 123711804 182131267 247423608 364262534 546393801 728525068 1092787602 1457050136 1639181403 2185575204 3278362806 4371150408 6556725612 11096261531 13113451224 22192523062 33288784593 44385046124 66577569186 88770092248 99866353779 133155138372 199732707558 266310276744 399465415116 588101861143 798930830232 1176203722286 1764305583429 2352407444572 3528611166858 4704814889144 5292916750287 7057222333716 10585833500574 14114444667432 21171667001148 42343334002296