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42242331431300 = 2252711139712373517
BaseRepresentation
bin10011001101011010011110…
…01010001101000110000100
312112120022211201010001202212
421212231033022031012010
521014044243321300200
6225501505324522552
711616623231530310
oct1146551712150604
9175508751101685
1042242331431300
1112506965923a20
1248a2a1b3b0458
131a7558622bcb0
14a6077b108b40
154d3c47685035
hex266b4f28d184

42242331431300 has 576 divisors, whose sum is σ = 124480567067136. Its totient is φ = 12015201484800.

The previous prime is 42242331431299. The next prime is 42242331431429. The reversal of 42242331431300 is 313413324224.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12010897142 + ... + 12010900658.

Almost surely, 242242331431300 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 42242331431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62240283533568).

42242331431300 is an abundant number, since it is smaller than the sum of its proper divisors (82238235635836).

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

42242331431300 is a wasteful number, since it uses less digits than its factorization.

42242331431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 42242331431300 its reverse (313413324224), we get a palindrome (42555744755524).

The spelling of 42242331431300 in words is "forty-two trillion, two hundred forty-two billion, three hundred thirty-one million, four hundred thirty-one thousand, three hundred".