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3141403524 = 2232724014441
BaseRepresentation
bin1011101100111110…
…0000001110000100
322002221002211111200
42323033200032010
522413144403044
61235415102500
7140563326600
oct27317401604
98087084450
103141403524
111372270a66
12738071a30
133b0a9366c
1421b2d4500
15135bc6369
hexbb3e0384

3141403524 has 108 divisors (see below), whose sum is σ = 9262342908. Its totient is φ = 895104000.

The previous prime is 3141403523. The next prime is 3141403537. The reversal of 3141403524 is 4253041413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2418869124 + 722534400 = 49182^2 + 26880^2 .

It is a super-2 number, since 2×31414035242 = 19736832201199237152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3141403523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 705144 + ... + 709584.

Almost surely, 23141403524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141403524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631171454).

3141403524 is an abundant number, since it is smaller than the sum of its proper divisors (6120939384).

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

3141403524 is a wasteful number, since it uses less digits than its factorization.

3141403524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3141403524 is about 56048.2249852750. The cubic root of 3141403524 is about 1464.5624966069.

Adding to 3141403524 its reverse (4253041413), we get a palindrome (7394444937).

The spelling of 3141403524 in words is "three billion, one hundred forty-one million, four hundred three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 401 441 588 802 882 1203 1604 1764 2406 2807 3609 4441 4812 5614 7218 8421 8882 11228 13323 14436 16842 17764 19649 25263 26646 31087 33684 39298 39969 50526 53292 58947 62174 78596 79938 93261 101052 117894 124348 159876 176841 186522 217609 235788 279783 353682 373044 435218 559566 652827 707364 870436 1119132 1305654 1780841 1958481 2611308 3561682 3916962 5342523 7123364 7833924 10685046 12465887 16027569 21370092 24931774 32055138 37397661 49863548 64110276 74795322 87261209 112192983 149590644 174522418 224385966 261783627 349044836 448771932 523567254 785350881 1047134508 1570701762 3141403524