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40322002342032 = 24323472437331127
BaseRepresentation
bin10010010101100001100101…
…01000000101000010010000
312021202202010200010211012100
421022300302220011002100
520241113430044421112
6221431401104000400
711331111543561015
oct1112606250050220
9167682120124170
1040322002342032
1111936513147614
124632811000100
13196646b888368
149d584980b70c
1549dd03d1d2dc
hex24ac32a05090

40322002342032 has 120 divisors (see below), whose sum is σ = 113217587735616. Its totient is φ = 13396393721088.

The previous prime is 40322002341949. The next prime is 40322002342049. The reversal of 40322002342032 is 23024320022304.

It is a happy number.

40322002342032 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 200 + 2 + 3 + 420 + 32 = 666.

It is a super-2 number, since 2×403220023420322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40322002341987 and 40322002342005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121606453 + ... + 121937579.

Almost surely, 240322002342032 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 40322002342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56608793867808).

40322002342032 is an abundant number, since it is smaller than the sum of its proper divisors (72895585393584).

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

40322002342032 is a wasteful number, since it uses less digits than its factorization.

40322002342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333925 (or 333916 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 40322002342032 its reverse (23024320022304), we get a palindrome (63346322364336).

The spelling of 40322002342032 in words is "forty trillion, three hundred twenty-two billion, two million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 347 694 1041 1388 2082 2437 2776 3123 4164 4874 5552 6246 7311 8328 9748 12492 14622 16656 19496 21933 24984 29244 38992 43866 49968 58488 87732 116976 175464 331127 350928 662254 845639 993381 1324508 1691278 1986762 2536917 2649016 2980143 3382556 3973524 5073834 5298032 5960286 6765112 7610751 7947048 10147668 11920572 13530224 15221502 15894096 20295336 23841144 30443004 40590672 47682288 60886008 114901069 121772016 229802138 344703207 459604276 689406414 806956499 919208552 1034109621 1378812828 1613912998 1838417104 2068219242 2420869497 2757625656 3227825996 4136438484 4841738994 5515251312 6455651992 7262608491 8272876968 9683477988 12911303984 14525216982 16545753936 19366955976 29050433964 38733911952 58100867928 116201735856 280013905153 560027810306 840041715459 1120055620612 1680083430918 2240111241224 2520125146377 3360166861836 4480222482448 5040250292754 6720333723672 10080500585508 13440667447344 20161001171016 40322002342032