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40233423773008 = 241922726328429
BaseRepresentation
bin10010010010111100100101…
…11011101001110101010000
312021110021111110221021210201
421021132102323221311100
520233141022441214013
6221322551341504544
711321524514266054
oct1111362273516520
9167407443837721
1040233423773008
1111901998922674
124619610272154
13195acc33a93cb
149d14455ddc64
1549b86c66b3dd
hex249792ee9d50

40233423773008 has 120 divisors (see below), whose sum is σ = 82740862058400. Its totient is φ = 18899595009792.

The previous prime is 40233423772981. The next prime is 40233423773009. The reversal of 40233423773008 is 80037732433204.

40233423773008 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 not an unprimeable number, because it can be changed into a prime (40233423773009) 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 23 ways as a sum of consecutive naturals, for example, 4773210138 + ... + 4773218566.

It is an arithmetic number, because the mean of its divisors is an integer number (689507183820).

Almost surely, 240233423773008 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 40233423773008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41370431029200).

40233423773008 is an abundant number, since it is smaller than the sum of its proper divisors (42507438285392).

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

40233423773008 is a wasteful number, since it uses less digits than its factorization.

40233423773008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 46.

The spelling of 40233423773008 in words is "forty trillion, two hundred thirty-three billion, four hundred twenty-three million, seven hundred seventy-three thousand, eight".

Divisors: 1 2 4 8 16 19 38 76 152 227 263 304 454 526 908 1052 1816 2104 3632 4208 4313 4997 8429 8626 9994 16858 17252 19988 33716 34504 39976 59701 67432 69008 69169 79952 119402 134864 138338 160151 238804 276676 320302 477608 553352 640604 955216 1106704 1134319 1281208 1314211 1913383 2216827 2268638 2562416 2628422 3826766 4433654 4537276 5256844 7653532 8867308 9074552 10513688 15307064 15701363 17734616 18149104 21027376 30614128 31402726 35469232 36354277 42119713 62805452 72708554 84239426 125610904 145417108 168478852 251221808 290834216 298325897 336957704 503219729 581668432 583025501 596651794 673915408 1006439458 1166051002 1193303588 2012878916 2332102004 2386607176 4025757832 4664204008 4773214352 8051515664 9328408016 9561174851 11077484519 19122349702 22154969038 38244699404 44309938076 76489398808 88619876152 132346788727 152978797616 177239752304 264693577454 529387154908 1058774309816 2117548619632 2514588985813 5029177971626 10058355943252 20116711886504 40233423773008