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542001231225440 = 25572309209584093
BaseRepresentation
bin111101100111100100111111…
…0110110101110001001100000
32122002001210220201010020111022
41323033021332312232021200
51032020122010143203230
65200423532300305012
7222110203526666150
oct17317117666561140
92562053821106438
10542001231225440
111477754820a1608
1250957577842168
131a35765c5ca97c
1497baddcb22760
15429da687501e5
hex1ecf27edae260

542001231225440 has 96 divisors (see below), whose sum is σ = 1464037113591360. Its totient is φ = 185748512385024.

The previous prime is 542001231225401. The next prime is 542001231225539. The reversal of 542001231225440 is 44522132100245.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 542001231225440.

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, 102205967 + ... + 107378126.

It is an arithmetic number, because the mean of its divisors is an integer number (15250386599910).

Almost surely, 2542001231225440 is an apocalyptic number.

It is an amenable number.

542001231225440 is an abundant number, since it is smaller than the sum of its proper divisors (922035882365920).

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

542001231225440 is a wasteful number, since it uses less digits than its factorization.

542001231225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209586424 (or 209586416 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 542001231225440 its reverse (44522132100245), we get a palindrome (586523363325685).

The spelling of 542001231225440 in words is "five hundred forty-two trillion, one billion, two hundred thirty-one million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2309 4618 9236 11545 16163 18472 23090 32326 36944 46180 64652 73888 80815 92360 129304 161630 184720 258608 323260 369440 517216 646520 1293040 2586080 209584093 419168186 838336372 1047920465 1467088651 1676672744 2095840930 2934177302 3353345488 4191681860 5868354604 6706690976 7335443255 8383363720 11736709208 14670886510 16766727440 23473418416 29341773020 33533454880 46946836832 58683546040 117367092080 234734184160 483929670737 967859341474 1935718682948 2419648353685 3387507695159 3871437365896 4839296707370 6775015390318 7742874731792 9678593414740 13550030780636 15485749463584 16937538475795 19357186829480 27100061561272 33875076951590 38714373658960 54200123122544 67750153903180 77428747317920 108400246245088 135500307806360 271000615612720 542001231225440