Search a number
-
+
542300315125120 = 2751077919105069
BaseRepresentation
bin111101101001110000010000…
…1101001010000010110000000
32122010010101220101020112211221
41323103200201221100112000
51032040022021133000440
65201213154150244424
7222140622232125226
oct17323404151202600
92563111811215757
10542300315125120
111478802aa16a102
12509a5526356714
131a3799146b6786
1497cb692316b16
1542a67207a1d4a
hex1ed3821a50580

542300315125120 has 64 divisors (see below), whose sum is σ = 1308552921766800. Its totient is φ = 214892835125248.

The previous prime is 542300315125007. The next prime is 542300315125123. The reversal of 542300315125120 is 21521513003245.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542300315125123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3959484055 + ... + 3959621014.

Almost surely, 2542300315125120 is an apocalyptic number.

It is an amenable number.

542300315125120 is an abundant number, since it is smaller than the sum of its proper divisors (766252606641680).

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

542300315125120 is a wasteful number, since it uses less digits than its factorization.

542300315125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7919105195 (or 7919105183 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 542300315125120 its reverse (21521513003245), we get a palindrome (563821828128365).

The spelling of 542300315125120 in words is "five hundred forty-two trillion, three hundred billion, three hundred fifteen million, one hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 320 428 535 640 856 1070 1712 2140 3424 4280 6848 8560 13696 17120 34240 68480 7919105069 15838210138 31676420276 39595525345 63352840552 79191050690 126705681104 158382101380 253411362208 316764202760 506822724416 633528405520 847344242383 1013645448832 1267056811040 1694688484766 2534113622080 3389376969532 4236721211915 5068227244160 6778753939064 8473442423830 13557507878128 16946884847660 27115015756256 33893769695320 54230031512512 67787539390640 108460063025024 135575078781280 271150157562560 542300315125120