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3141852672 = 29371032837
BaseRepresentation
bin1011101101000100…
…1101111000000000
322002221221122121210
42323101031320000
522413303241142
61235432450120
7140600210220
oct27321157000
98087848553
103141852672
111372548462
12738249940
133b0bbcc2a
1421b3b0080
15135c6449c
hexbb44de00

3141852672 has 160 divisors (see below), whose sum is σ = 9662095872. Its totient is φ = 888643584.

The previous prime is 3141852661. The next prime is 3141852677. The reversal of 3141852672 is 2762581413.

It is a self number, because there is not a number n which added to its sum of digits gives 3141852672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141852677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1106038 + ... + 1108874.

Almost surely, 23141852672 is an apocalyptic number.

3141852672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141852672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831047936).

3141852672 is an abundant number, since it is smaller than the sum of its proper divisors (6520243200).

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

3141852672 is a wasteful number, since it uses less digits than its factorization.

3141852672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2952 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 3141852672 is about 56052.2316415680. The cubic root of 3141852672 is about 1464.6322927944.

The spelling of 3141852672 in words is "three billion, one hundred forty-one million, eight hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 192 206 224 256 309 336 384 412 448 512 618 672 721 768 824 896 1236 1344 1442 1536 1648 1792 2163 2472 2688 2837 2884 3296 3584 4326 4944 5376 5674 5768 6592 8511 8652 9888 10752 11348 11536 13184 17022 17304 19776 19859 22696 23072 26368 34044 34608 39552 39718 45392 46144 52736 59577 68088 69216 79104 79436 90784 92288 119154 136176 138432 158208 158872 181568 184576 238308 272352 276864 292211 317744 363136 369152 476616 544704 553728 584422 635488 726272 876633 953232 1089408 1107456 1168844 1270976 1452544 1753266 1906464 2045477 2178816 2337688 2541952 3506532 3812928 4090954 4357632 4675376 5083904 6136431 7013064 7625856 8181908 9350752 10167808 12272862 14026128 15251712 16363816 18701504 24545724 28052256 30503424 32727632 37403008 49091448 56104512 65455264 74806016 98182896 112209024 130910528 149612032 196365792 224418048 261821056 392731584 448836096 523642112 785463168 1047284224 1570926336 3141852672