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542350255115440 = 24537466433928273
BaseRepresentation
bin111101101010000111100001…
…0010011001100110010110000
32122010022011210210010220200001
41323110033002103030302300
51032041331310302143230
65201252133445435344
7222144340625053522
oct17324170223146260
92563264723126601
10542350255115440
1114789a4a6a74a82
12509b314310bb54
131a381542ba4cc5
1497cdc6caa5a12
1542a7b94c410ca
hex1ed43c24cccb0

542350255115440 has 80 divisors (see below), whose sum is σ = 1295072555239008. Its totient is φ = 211072276942848.

The previous prime is 542350255115423. The next prime is 542350255115441. The reversal of 542350255115440 is 44511552053245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (542350255115441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136099144 + ... + 140027416.

Almost surely, 2542350255115440 is an apocalyptic number.

It is an amenable number.

542350255115440 is an abundant number, since it is smaller than the sum of its proper divisors (752722300123568).

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

542350255115440 is a wasteful number, since it uses less digits than its factorization.

542350255115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974966 (or 3974960 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 46.

The spelling of 542350255115440 in words is "five hundred forty-two trillion, three hundred fifty billion, two hundred fifty-five million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 46643 93286 186572 233215 373144 466430 746288 932860 1725791 1865720 3451582 3731440 3928273 6903164 7856546 8628955 13806328 15713092 17257910 19641365 27612656 31426184 34515820 39282730 62852368 69031640 78565460 138063280 145346101 157130920 290692202 314261840 581384404 726730505 1162768808 1453461010 2325537616 2906922020 5813844040 11627688080 183226437539 366452875078 732905750156 916132187695 1465811500312 1832264375390 2931623000624 3664528750780 6779378188943 7329057501560 13558756377886 14658115003120 27117512755772 33896890944715 54235025511544 67793781889430 108470051023088 135587563778860 271175127557720 542350255115440