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1035414042 = 23134753732
BaseRepresentation
bin111101101101110…
…010101000011010
32200011022111001020
4331231302220122
54110031222132
6250424303310
734441605555
oct7555625032
92604274036
101035414042
11491511993
1224a911b36
13136689540
149b72969c
1560d7952c
hex3db72a1a

1035414042 has 96 divisors (see below), whose sum is σ = 2352768768. Its totient is φ = 301736448.

The previous prime is 1035414013. The next prime is 1035414059. The reversal of 1035414042 is 2404145301.

It is a super-3 number, since 3×10354140423 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14183718 + ... + 14183790.

It is an arithmetic number, because the mean of its divisors is an integer number (24508008).

Almost surely, 21035414042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035414042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176384384).

1035414042 is an abundant number, since it is smaller than the sum of its proper divisors (1317354726).

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

1035414042 is a wasteful number, since it uses less digits than its factorization.

1035414042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1035414042 is about 32177.8501767909. The cubic root of 1035414042 is about 1011.6680087351.

Adding to 1035414042 its reverse (2404145301), we get a palindrome (3439559343).

It can be divided in two parts, 103 and 5414042, that added together give a palindrome (5414145).

The spelling of 1035414042 in words is "one billion, thirty-five million, four hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 47 53 73 78 94 106 141 146 159 219 282 318 438 611 689 949 1222 1378 1833 1898 2067 2491 2847 3431 3666 3869 4134 4982 5329 5694 6862 7473 7738 10293 10658 11607 14946 15987 20586 23214 31974 32383 44603 50297 64766 69277 89206 97149 100594 133809 138554 150891 181843 194298 207831 250463 267618 282437 301782 363686 415662 500926 545529 564874 751389 847311 1091058 1502778 1694622 2363959 3256019 3671681 4727918 6512038 7091877 7343362 9768057 11015043 13274539 14183754 19536114 22030086 26549078 39823617 79647234 172569007 345138014 517707021 1035414042