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42220131410454 = 23411584191083371
BaseRepresentation
bin10011001100110001000111…
…11011110110001000010110
312112111012112112212011021120
421212120203323312020112
521013213312120113304
6225443354405224410
711615206133466414
oct1146304373661026
9175435475764246
1042220131410454
11124a8503560758
12489a664702106
131a73458b1639a
14a5d67297c2b4
154d33986e60d9
hex266623ef6216

42220131410454 has 32 divisors (see below), whose sum is σ = 86500407288960. Its totient is φ = 13730024692800.

The previous prime is 42220131410449. The next prime is 42220131410459. The reversal of 42220131410454 is 45401413102224.

42220131410454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42220131410449) and next prime (42220131410459).

It is a super-2 number, since 2×422201314104542 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42220131410459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38429389 + ... + 39512759.

It is an arithmetic number, because the mean of its divisors is an integer number (2703137727780).

Almost surely, 242220131410454 is an apocalyptic number.

42220131410454 is an abundant number, since it is smaller than the sum of its proper divisors (44280275878506).

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

42220131410454 is a wasteful number, since it uses less digits than its factorization.

42220131410454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241836.

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 42220131410454 its reverse (45401413102224), we get a palindrome (87621544512678).

The spelling of 42220131410454 in words is "forty-two trillion, two hundred twenty billion, one hundred thirty-one million, four hundred ten thousand, four hundred fifty-four".

Divisors: 1 2 3 6 41 82 123 246 158419 316838 475257 950514 1083371 2166742 3250113 6495179 6500226 12990358 19485537 38971074 44418211 88836422 133254633 266509266 171626550449 343253100898 514879651347 1029759302694 7036688568409 14073377136818 21110065705227 42220131410454