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3141413442 = 234173730829
BaseRepresentation
bin1011101100111110…
…0010101001000010
322002221010100010000
42323033202221002
522413200212232
61235415220430
7140563400526
oct27317425102
98087110100
103141413442
111372278462
12738077716
133b0a9802b
1421b2d7d86
15135bc927c
hexbb3e2a42

3141413442 has 80 divisors (see below), whose sum is σ = 7654842360. Its totient is φ = 958874112.

The previous prime is 3141413437. The next prime is 3141413449. The reversal of 3141413442 is 2443141413.

3141413442 is a `hidden beast` number, since 314 + 1 + 4 + 1 + 344 + 2 = 666.

3141413442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3013021881 + 128391561 = 54891^2 + 11331^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3141413449) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86484 + ... + 117312.

Almost surely, 23141413442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141413442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827421180).

3141413442 is an abundant number, since it is smaller than the sum of its proper divisors (4513428918).

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

3141413442 is a wasteful number, since it uses less digits than its factorization.

3141413442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30897 (or 30888 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3141413442 is about 56048.3134625833. The cubic root of 3141413442 is about 1464.5640379047.

Adding to 3141413442 its reverse (2443141413), we get a palindrome (5584554855).

The spelling of 3141413442 in words is "three billion, one hundred forty-one million, four hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 81 102 111 153 162 222 306 333 459 629 666 918 999 1258 1377 1887 1998 2754 2997 3774 5661 5994 11322 16983 30829 33966 50949 61658 92487 101898 184974 277461 524093 554922 832383 1048186 1140673 1572279 1664766 2281346 2497149 3144558 3422019 4716837 4994298 6844038 9433674 10266057 14150511 19391441 20532114 28301022 30798171 38782882 42451533 58174323 61596342 84903066 92394513 116348646 174522969 184789026 349045938 523568907 1047137814 1570706721 3141413442