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3144154300 = 2252747227421
BaseRepresentation
bin1011101101100111…
…1111110010111100
322010010021120212021
42323121333302330
522414400414200
61235554045524
7140625604420
oct27331776274
98103246767
103144154300
11137387a731
12738b798a4
133b1517741
1421b80cb80
1513606b41a
hexbb67fcbc

3144154300 has 144 divisors (see below), whose sum is σ = 8017486848. Its totient is φ = 1047916800.

The previous prime is 3144154297. The next prime is 3144154313. The reversal of 3144154300 is 34514413.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7468090 + ... + 7468510.

It is an arithmetic number, because the mean of its divisors is an integer number (55676992).

Almost surely, 23144154300 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 3144154300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008743424).

3144154300 is an abundant number, since it is smaller than the sum of its proper divisors (4873332548).

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

3144154300 is a wasteful number, since it uses less digits than its factorization.

3144154300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3144154300 is about 56072.7589833067. The cubic root of 3144154300 is about 1464.9898542088.

Adding to 3144154300 its reverse (34514413), we get a palindrome (3178668713).

The spelling of 3144154300 in words is "three billion, one hundred forty-four million, one hundred fifty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 227 235 329 350 421 454 470 658 700 842 908 940 1135 1175 1316 1589 1645 1684 2105 2270 2350 2947 3178 3290 4210 4540 4700 5675 5894 6356 6580 7945 8225 8420 10525 10669 11350 11788 14735 15890 16450 19787 21050 21338 22700 29470 31780 32900 39574 39725 42100 42676 53345 58940 73675 74683 79148 79450 95567 98935 106690 138509 147350 149366 158900 191134 197870 213380 266725 277018 294700 298732 373415 382268 395740 477835 494675 533450 554036 668969 692545 746830 955670 989350 1066900 1337938 1385090 1493660 1867075 1911340 1978700 2389175 2675876 2770180 3344845 3462725 3734150 4491649 4778350 6689690 6925450 7468300 8983298 9556700 13379380 13850900 16724225 17966596 22458245 31441543 33448450 44916490 62883086 66896900 89832980 112291225 125766172 157207715 224582450 314415430 449164900 628830860 786038575 1572077150 3144154300