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114320202014430 = 2335461918455869
BaseRepresentation
bin11001111111100100111111…
…000010000001111011011110
3112222202220102102211011202000
4121333210333002001323132
5104441010233203430210
61043045550434143130
733036235114656516
oct3177447702017336
9488686372734660
10114320202014430
1133475a1a796555
12109a4030421aa6
134ba346c3b4589
1420331ad452846
15d33ae66edac0
hex67f93f081ede

114320202014430 has 64 divisors (see below), whose sum is σ = 305515160596800. Its totient is φ = 30419258348160.

The previous prime is 114320202014429. The next prime is 114320202014453. The reversal of 114320202014430 is 34410202023411.

114320202014430 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 2 + 0 + 20 + 201 + 4 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114320202014394 and 114320202014403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459103465 + ... + 459352404.

It is an arithmetic number, because the mean of its divisors is an integer number (4773674384325).

Almost surely, 2114320202014430 is an apocalyptic number.

114320202014430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114320202014430 is an abundant number, since it is smaller than the sum of its proper divisors (191194958582370).

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

114320202014430 is a wasteful number, since it uses less digits than its factorization.

114320202014430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918456346 (or 918456340 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114320202014430 its reverse (34410202023411), we get a palindrome (148730404037841).

The spelling of 114320202014430 in words is "one hundred fourteen trillion, three hundred twenty billion, two hundred two million, fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 461 922 1383 2305 2766 4149 4610 6915 8298 12447 13830 20745 24894 41490 62235 124470 918455869 1836911738 2755367607 4592279345 5510735214 8266102821 9184558690 13776838035 16532205642 24798308463 27553676070 41330514105 49596616926 82661028210 123991542315 247983084630 423408155609 846816311218 1270224466827 2117040778045 2540448933654 3810673400481 4234081556090 6351122334135 7621346800962 11432020201443 12702244668270 19053367002405 22864040402886 38106734004810 57160101007215 114320202014430