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9940917138084 = 2232172309112
BaseRepresentation
bin1001000010101000110011…
…0101011011001010100100
31022012100020121101220000100
42100222030311123022210
52300332444241404314
633050443322144100
72044131123324462
oct220521465331244
938170217356010
109940917138084
113192a12624419
121146749052030
135715697155ba
142652003b7832
151238bcea4c09
hex90a8cd5b2a4

9940917138084 has 81 divisors (see below), whose sum is σ = 26694385511521. Its totient is φ = 3118618208640.

The previous prime is 9940917138079. The next prime is 9940917138107. The reversal of 9940917138084 is 4808317190499.

The square root of 9940917138084 is 3152922.

It is a perfect power (a square), and thus also a powerful number.

9940917138084 is a `hidden beast` number, since 9 + 9 + 4 + 0 + 9 + 171 + 380 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7739468360100 + 2201448777984 = 2781990^2 + 1483728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 321582589 + ... + 321613499.

Almost surely, 29940917138084 is an apocalyptic number.

9940917138084 is the 3152922-nd square number.

It is an amenable number.

9940917138084 is an abundant number, since it is smaller than the sum of its proper divisors (16753468373437).

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

9940917138084 is an equidigital number, since it uses as much as digits as its factorization.

9940917138084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61866 (or 30933 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 9940917138084 in words is "nine trillion, nine hundred forty billion, nine hundred seventeen million, one hundred thirty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 30911 61822 92733 123644 185466 278199 370932 525487 556398 1050974 1112796 1576461 2101948 3152922 4729383 6305844 8933279 9458766 17866558 18917532 26799837 35733116 53599674 80399511 107199348 160799022 321598044 955489921 1910979842 2866469763 3821959684 5732939526 8599409289 11465879052 16243328657 17198818578 32486657314 34397637156 48729985971 64973314628 97459971942 146189957913 194919943884 276136587169 292379915826 552273174338 584759831652 828409761507 1104546348676 1656819523014 2485229284521 3313639046028 4970458569042 9940917138084