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42115330431 = 35268964453
BaseRepresentation
bin100111001110010001…
…001111000101111111
311000201002102110100000
4213032101033011333
51142223011033211
631203021405343
73020441254626
oct471621170577
9130632373300
1042115330431
1116952008109
1281b4409853
133c823aa285
1420774c86bd
15116757b656
hex9ce44f17f

42115330431 has 24 divisors (see below), whose sum is σ = 63110778640. Its totient is φ = 28066010112.

The previous prime is 42115330393. The next prime is 42115330447. The reversal of 42115330431 is 13403351124.

It is a happy number.

It is not a de Polignac number, because 42115330431 - 211 = 42115328383 is a prime.

It is a super-2 number, since 2×421153304312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42115330395 and 42115330404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42115330451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621201 + ... + 685653.

Almost surely, 242115330431 is an apocalyptic number.

42115330431 is a deficient number, since it is larger than the sum of its proper divisors (20995448209).

42115330431 is an equidigital number, since it uses as much as digits as its factorization.

42115330431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67157 (or 67145 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 42115330431 its reverse (13403351124), we get a palindrome (55518681555).

It can be divided in two parts, 421153 and 30431, that added together give a square (451584 = 6722).

The spelling of 42115330431 in words is "forty-two billion, one hundred fifteen million, three hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 243 2689 8067 24201 64453 72603 193359 217809 580077 653427 1740231 5220693 15662079 173314117 519942351 1559827053 4679481159 14038443477 42115330431