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200020040240440 = 235724197227113041
BaseRepresentation
bin101101011110101011001011…
…011100100100110100111000
3222020012201200111212202022211
4231132223023130210310320
5202204112020300143230
61545223534333224504
760062654026460500
oct5536531334446470
9866181614782284
10200020040240440
1158807028227632
121a525282932134
13877ba690b5914
1437570433c2a00
15181cea860842a
hexb5eacb724d38

200020040240440 has 384 divisors, whose sum is σ = 544211119126080. Its totient is φ = 65923625779200.

The previous prime is 200020040240417. The next prime is 200020040240479. The reversal of 200020040240440 is 44042040020002.

It is a super-2 number, since 2×2000200402404402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1769390320 + ... + 1769503360.

Almost surely, 2200020040240440 is an apocalyptic number.

200020040240440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200020040240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272105559563040).

200020040240440 is an abundant number, since it is smaller than the sum of its proper divisors (344191078885640).

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

200020040240440 is a wasteful number, since it uses less digits than its factorization.

200020040240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113431 (or 113420 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 200020040240440 its reverse (44042040020002), we get a palindrome (244062080260442).

The spelling of 200020040240440 in words is "two hundred trillion, twenty billion, forty million, two hundred forty thousand, four hundred forty".