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42434053330504 = 231127935910971409
BaseRepresentation
bin10011010010111111100101…
…01011001101011001001000
312120020122201010200122210111
421221133302223031121020
521030214420123034004
6230125533542324104
711636521254013543
oct1151376253153110
9176218633618714
1042434053330504
11125801a9940500
124914006729634
131a8a68b506c74
14a69b67a0d85a
154d8c18ec8a04
hex2697f2acd648

42434053330504 has 192 divisors, whose sum is σ = 88952230080000. Its totient is φ = 18960226222080.

The previous prime is 42434053330489. The next prime is 42434053330517. The reversal of 42434053330504 is 40503335043424.

It is a super-2 number, since 2×424340533305042 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30116431752 + ... + 30116433160.

It is an arithmetic number, because the mean of its divisors is an integer number (463292865000).

Almost surely, 242434053330504 is an apocalyptic number.

42434053330504 is a gapful number since it is divisible by the number (44) 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 42434053330504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44476115040000).

42434053330504 is an abundant number, since it is smaller than the sum of its proper divisors (46518176749496).

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

42434053330504 is a wasteful number, since it uses less digits than its factorization.

42434053330504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 40.

Adding to 42434053330504 its reverse (40503335043424), we get a palindrome (82937388373928).

The spelling of 42434053330504 in words is "forty-two trillion, four hundred thirty-four billion, fifty-three million, three hundred thirty thousand, five hundred four".