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542434331012 = 227243155341443
BaseRepresentation
bin1111110010010111001…
…10110000100110000100
31220212010011220002002212
413321023212300212010
532341401142043022
61053105122122552
754122012511200
oct7711346604604
91825104802085
10542434331012
1119a055047452
12891641b0458
133c1c7649392
141c37ac29b00
15e19b1c33e2
hex7e4b9b0984

542434331012 has 72 divisors (see below), whose sum is σ = 1130676202656. Its totient is φ = 226913847552.

The previous prime is 542434331011. The next prime is 542434331051. The reversal of 542434331012 is 210133434245.

It is a self number, because there is not a number n which added to its sum of digits gives 542434331012.

It is not an unprimeable number, because it can be changed into a prime (542434331011) 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 23 ways as a sum of consecutive naturals, for example, 13067963 + ... + 13109405.

It is an arithmetic number, because the mean of its divisors is an integer number (15703836148).

Almost surely, 2542434331012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542434331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565338101328).

542434331012 is an abundant number, since it is smaller than the sum of its proper divisors (588241871644).

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

542434331012 is a wasteful number, since it uses less digits than its factorization.

542434331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43057 (or 43048 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 542434331012 its reverse (210133434245), we get a palindrome (752567765257).

The spelling of 542434331012 in words is "five hundred forty-two billion, four hundred thirty-four million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 1204 1553 2107 3106 4214 6212 8428 10871 21742 41443 43484 66779 76097 82886 133558 152194 165772 267116 290101 304388 467453 580202 934906 1160404 1782049 1869812 2030707 3272171 3564098 4061414 6544342 7128196 8122828 12474343 13088684 24948686 49897372 64360979 87320401 128721958 174640802 257443916 349281604 450526853 901053706 1802107412 2767522097 3153687971 5535044194 6307375942 11070088388 12614751884 19372654679 38745309358 77490618716 135608582753 271217165506 542434331012