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2243415440120 = 235251551940487
BaseRepresentation
bin100000101001010101111…
…110101111101011111000
321221110122110221102000012
4200221111332233223320
5243224003323040440
64434335534401052
7321036632415161
oct40512576575370
97843573842005
102243415440120
11795477591808
12302957360188
1313372640668a
147a8209a8768
153d552be0e65
hex20a55fafaf8

2243415440120 has 64 divisors (see below), whose sum is σ = 5068838476800. Its totient is φ = 893606992000.

The previous prime is 2243415440087. The next prime is 2243415440243. The reversal of 2243415440120 is 210445143422.

It is a super-2 number, since 2×22434154401202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55390517 + ... + 55431003.

It is an arithmetic number, because the mean of its divisors is an integer number (79200601200).

Almost surely, 22243415440120 is an apocalyptic number.

2243415440120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243415440120 is an abundant number, since it is smaller than the sum of its proper divisors (2825423036680).

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

2243415440120 is a wasteful number, since it uses less digits than its factorization.

2243415440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46268 (or 46264 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 2243415440120 in words is "two trillion, two hundred forty-three billion, four hundred fifteen million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 251 502 1004 1255 2008 2510 5020 5519 10040 11038 22076 27595 40487 44152 55190 80974 110380 161948 202435 220760 323896 404870 809740 1385269 1619480 2770538 5541076 6926345 10162237 11082152 13852690 20324474 27705380 40648948 50811185 55410760 81297896 101622370 203244740 223447753 406489480 446895506 893791012 1117238765 1787582024 2234477530 4468955060 8937910120 56085386003 112170772006 224341544012 280426930015 448683088024 560853860030 1121707720060 2243415440120