Search a number
-
+
542420341152 = 25319631471283
BaseRepresentation
bin1111110010010101100…
…01011001000110100000
31220212002012120022121220
413321022301121012200
532341334101404102
61053103502215040
754121452553344
oct7711261310640
91825065508556
10542420341152
1119a048161688
128915b584480
133c1c478b761
141c379027624
15e199d5d1bc
hex7e4ac591a0

542420341152 has 96 divisors (see below), whose sum is σ = 1501171499520. Its totient is φ = 171018812160.

The previous prime is 542420341069. The next prime is 542420341157. The reversal of 542420341152 is 251143024245.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (542420341157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915303 + ... + 1386585.

It is an arithmetic number, because the mean of its divisors is an integer number (15637203120).

Almost surely, 2542420341152 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 542420341152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750585749760).

542420341152 is an abundant number, since it is smaller than the sum of its proper divisors (958751158368).

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

542420341152 is a wasteful number, since it uses less digits than its factorization.

542420341152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471946 (or 471938 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 542420341152 its reverse (251143024245), we get a palindrome (793563365397).

The spelling of 542420341152 in words is "five hundred forty-two billion, four hundred twenty million, three hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 631 912 1262 1824 1893 2524 3786 5048 7572 10096 11989 15144 20192 23978 30288 35967 47956 60576 71934 95912 143868 191824 287736 383648 471283 575472 942566 1150944 1413849 1885132 2827698 3770264 5655396 7540528 8954377 11310792 15081056 17908754 22621584 26863131 35817508 45243168 53726262 71635016 107452524 143270032 214905048 286540064 297379573 429810096 594759146 859620192 892138719 1189518292 1784277438 2379036584 3568554876 4758073168 5650211887 7137109752 9516146336 11300423774 14274219504 16950635661 22600847548 28548439008 33901271322 45201695096 67802542644 90403390192 135605085288 180806780384 271210170576 542420341152