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9940590900240 = 243571113297918061
BaseRepresentation
bin1001000010100111100101…
…1000111011010000010000
31022012022101212112021211020
42100221321120323100100
52300331312232301430
633050351105515440
72044120052335650
oct220517130732020
938168355467736
109940590900240
11319286545a070
121146677942b80
13571516c5c060
142651acd34360
1512389e511b10
hex90a7963b410

9940590900240 has 1280 divisors, whose sum is σ = 43346025676800. Its totient is φ = 1817535283200.

The previous prime is 9940590900239. The next prime is 9940590900353. The reversal of 9940590900240 is 420090950499.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 550380810 + ... + 550398870.

It is an arithmetic number, because the mean of its divisors is an integer number (33864082560).

Almost surely, 29940590900240 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 9940590900240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21673012838400).

9940590900240 is an abundant number, since it is smaller than the sum of its proper divisors (33405434776560).

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

9940590900240 is a wasteful number, since it uses less digits than its factorization.

9940590900240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18216 (or 18210 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 9940590900240 in words is "nine trillion, nine hundred forty billion, five hundred ninety million, nine hundred thousand, two hundred forty".