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2040189435904 = 214111592
BaseRepresentation
bin11101101100000100110…
…001000100000000000000
321020001002022100201200011
4131230010301010000000
5231411301443422104
64201130004034304
7300253540034104
oct35540461040000
97201068321604
102040189435904
1171726a826924
1228b49b392994
1311a509942689
1470a6228d904
153810b433904
hex1db04c44000

2040189435904 has 45 divisors (see below), whose sum is σ = 4080620028247. Its totient is φ = 1020003303424.

The previous prime is 2040189435887. The next prime is 2040189435929. The reversal of 2040189435904 is 4095349810402.

It is a happy number.

The square root of 2040189435904 is 1428352.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 182823477 + ... + 182834635.

Almost surely, 22040189435904 is an apocalyptic number.

2040189435904 is the 1428352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040189435904

2040189435904 is an abundant number, since it is smaller than the sum of its proper divisors (2040430592343).

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

2040189435904 is an frugal number, since it uses more digits than its factorization.

2040189435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22346 (or 11161 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 2040189435904 by its sum of digits (49), we get a square (99969282359296 = 99984642).

The spelling of 2040189435904 in words is "two trillion, forty billion, one hundred eighty-nine million, four hundred thirty-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 11159 16384 22318 44636 89272 178544 357088 714176 1428352 2856704 5713408 11426816 22853632 45707264 91414528 124523281 182829056 249046562 498093124 996186248 1992372496 3984744992 7969489984 15938979968 31877959936 63755919872 127511839744 255023679488 510047358976 1020094717952 2040189435904