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7143103872 = 273215833917
BaseRepresentation
bin1101010011100001…
…10001110110000000
3200102211000021101200
412221300301312000
5104112113310442
63140445301200
7342004244502
oct65160616600
920384007350
107143103872
113036106733
121474264800
1389ab5bca8
144ba96bd72
152bc18534c
hex1a9c31d80

7143103872 has 96 divisors (see below), whose sum is σ = 20573261280. Its totient is φ = 2378923008.

The previous prime is 7143103871. The next prime is 7143103939. The reversal of 7143103872 is 2783013417.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7143103871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1821658 + ... + 1825574.

It is an arithmetic number, because the mean of its divisors is an integer number (214304805).

Almost surely, 27143103872 is an apocalyptic number.

7143103872 is a gapful number since it is divisible by the number (72) 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 7143103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10286630640).

7143103872 is an abundant number, since it is smaller than the sum of its proper divisors (13430157408).

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

7143103872 is a wasteful number, since it uses less digits than its factorization.

7143103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7143103872 is about 84516.8851295408. The cubic root of 7143103872 is about 1925.8789596653.

The spelling of 7143103872 in words is "seven billion, one hundred forty-three million, one hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1583 3166 3917 4749 6332 7834 9498 11751 12664 14247 15668 18996 23502 25328 28494 31336 35253 37992 47004 50656 56988 62672 70506 75984 94008 101312 113976 125344 141012 151968 188016 202624 227952 250688 282024 303936 376032 455904 501376 564048 607872 752064 911808 1128096 1504128 1823616 2256192 4512384 6200611 12401222 18601833 24802444 37203666 49604888 55805499 74407332 99209776 111610998 148814664 198419552 223221996 297629328 396839104 446443992 595258656 793678208 892887984 1190517312 1785775968 2381034624 3571551936 7143103872