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540943487144316 = 223329333223514543
BaseRepresentation
bin111101011111111000011100…
…0011001010001000101111100
32121221022200200201000120012000
41322333300320121101011330
51031400304230202104231
65154254001325542300
7221640606614440314
oct17277607031210574
92557280621016160
10540943487144316
111473a7932141923
125080657b414990
131a2ab9a1084ab9
149781b3969c444
1542812ac84b6e6
hex1ebfc3865117c

540943487144316 has 96 divisors (see below), whose sum is σ = 1407277675345920. Its totient is φ = 179693329773888.

The previous prime is 540943487144219. The next prime is 540943487144317. The reversal of 540943487144316 is 613441784349045.

540943487144316 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 4 + 3 + 487 + 144 + 3 + 1 + 6 = 666.

It is a super-2 number, since 2×5409434871443162 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540943487144317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051051341 + ... + 1051565883.

It is an arithmetic number, because the mean of its divisors is an integer number (14659142451520).

Almost surely, 2540943487144316 is an apocalyptic number.

It is an amenable number.

540943487144316 is an abundant number, since it is smaller than the sum of its proper divisors (866334188201604).

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

540943487144316 is a wasteful number, since it uses less digits than its factorization.

540943487144316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548072 (or 548064 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 540943487144316 in words is "five hundred forty trillion, nine hundred forty-three billion, four hundred eighty-seven million, one hundred forty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 293 586 879 1172 1758 2637 3516 5274 7911 10548 15822 31644 33223 66446 99669 132892 199338 299007 398676 514543 598014 897021 1029086 1196028 1543629 1794042 2058172 3087258 3588084 4630887 6174516 9261774 9734339 13892661 18523548 19468678 27785322 29203017 38937356 55570644 58406034 87609051 116812068 150761099 175218102 262827153 301522198 350436204 452283297 525654306 603044396 904566594 1051308612 1356849891 1809133188 2713699782 4070549673 5427399564 8141099346 16282198692 17094662089 34189324178 51283986267 68378648356 102567972534 153851958801 205135945068 307703917602 461555876403 615407835204 923111752806 1846223505612 5008735992077 10017471984154 15026207976231 20034943968308 30052415952462 45078623928693 60104831904924 90157247857386 135235871786079 180314495714772 270471743572158 540943487144316