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3143712096 = 253277919739
BaseRepresentation
bin1011101101100001…
…0011110101100000
322010002110010021100
42323120103311200
522414242241341
61235540354400
7140622053250
oct27330236540
98102403240
103143712096
1113735a8478
127389a5a00
133b13c1395
1421b735960
15135ed03b6
hexbb613d60

3143712096 has 144 divisors (see below), whose sum is σ = 10346918400. Its totient is φ = 886788864.

The previous prime is 3143712071. The next prime is 3143712113. The reversal of 3143712096 is 6902173413.

3143712096 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3143712096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149395 + ... + 169133.

It is an arithmetic number, because the mean of its divisors is an integer number (71853600).

Almost surely, 23143712096 is an apocalyptic number.

3143712096 is a gapful number since it is divisible by the number (36) 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 3143712096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173459200).

3143712096 is an abundant number, since it is smaller than the sum of its proper divisors (7203206304).

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

3143712096 is a wasteful number, since it uses less digits than its factorization.

3143712096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19841 (or 19830 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3143712096 is about 56068.8157178302. The cubic root of 3143712096 is about 1464.9211706896.

The spelling of 3143712096 in words is "three billion, one hundred forty-three million, seven hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 224 237 252 288 316 336 474 504 553 632 672 711 948 1008 1106 1264 1422 1659 1896 2016 2212 2528 2844 3318 3792 4424 4977 5688 6636 7584 8848 9954 11376 13272 17696 19739 19908 22752 26544 39478 39816 53088 59217 78956 79632 118434 138173 157912 159264 177651 236868 276346 315824 355302 414519 473736 552692 631648 710604 829038 947472 1105384 1243557 1421208 1559381 1658076 1894944 2210768 2487114 2842416 3118762 3316152 4421536 4678143 4974228 5684832 6237524 6632304 9356286 9948456 10915667 12475048 13264608 14034429 18712572 19896912 21831334 24950096 28068858 32747001 37425144 39793824 43662668 49900192 56137716 65494002 74850288 87325336 98241003 112275432 130988004 149700576 174650672 196482006 224550864 261976008 349301344 392964012 449101728 523952016 785928024 1047904032 1571856048 3143712096