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42242103132400 = 2452105605257831
BaseRepresentation
bin10011001101011010000011…
…00011010100000011110000
312112120022020210112021120001
421212231001203110003300
521014043311400214100
6225501430531355344
711616614460160663
oct1146550143240360
9175508223467501
1042242103132400
1112506858a72646
1248a2976a52b54
131a7554ab470a2
14a60758a7b6da
154d3c325dad6a
hex266b418d40f0

42242103132400 has 30 divisors (see below), whose sum is σ = 101486652776552. Its totient is φ = 16896841252800.

The previous prime is 42242103132379. The next prime is 42242103132403. The reversal of 42242103132400 is 423130124224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42242103132403) 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 5 ways as a sum of consecutive naturals, for example, 52802628516 + ... + 52802629315.

Almost surely, 242242103132400 is an apocalyptic number.

42242103132400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42242103132400 is an abundant number, since it is smaller than the sum of its proper divisors (59244549644152).

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

42242103132400 is a wasteful number, since it uses less digits than its factorization.

42242103132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105605257849 (or 105605257838 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 42242103132400 its reverse (423130124224), we get a palindrome (42665233256624).

The spelling of 42242103132400 in words is "forty-two trillion, two hundred forty-two billion, one hundred three million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 105605257831 211210515662 422421031324 528026289155 844842062648 1056052578310 1689684125296 2112105156620 2640131445775 4224210313240 5280262891550 8448420626480 10560525783100 21121051566200 42242103132400