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3014013402 = 234174126693
BaseRepresentation
bin1011001110100110…
…0011000111011010
321210001101202010000
42303221203013122
522133041412102
61215024433430
7134455456041
oct26351430732
97701352100
103014013402
111307371974
12701478876
1339057caaa
14208413558
1512991101c
hexb3a631da

3014013402 has 80 divisors (see below), whose sum is σ = 7325581032. Its totient is φ = 922475520.

The previous prime is 3014013371. The next prime is 3014013421. The reversal of 3014013402 is 2043104103.

It can be written as a sum of positive squares in 4 ways, for example, as 1170255681 + 1843757721 = 34209^2 + 42939^2 .

It is a super-3 number, since 3×30140134023 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 99568 + ... + 126260.

Almost surely, 23014013402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3014013402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662790516).

3014013402 is an abundant number, since it is smaller than the sum of its proper divisors (4311567630).

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

3014013402 is a wasteful number, since it uses less digits than its factorization.

3014013402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26765 (or 26756 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3014013402 is about 54900.0309835978. The cubic root of 3014013402 is about 1444.4917297819.

Adding to 3014013402 its reverse (2043104103), we get a palindrome (5057117505).

The spelling of 3014013402 in words is "three billion, fourteen million, thirteen thousand, four hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 81 82 102 123 153 162 246 306 369 459 697 738 918 1107 1377 1394 2091 2214 2754 3321 4182 6273 6642 12546 18819 26693 37638 53386 56457 80079 112914 160158 240237 453781 480474 720711 907562 1094413 1361343 1441422 2162133 2188826 2722686 3283239 4084029 4324266 6566478 8168058 9849717 12252087 18605021 19699434 24504174 29549151 36756261 37210042 55815063 59098302 73512522 88647453 111630126 167445189 177294906 334890378 502335567 1004671134 1507006701 3014013402