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4272141328 = 2471347163383
BaseRepresentation
bin1111111010100011…
…1011010000010000
3102000201210021011121
43332220323100100
532222132010303
61543530452024
7210603413350
oct37650732020
912021707147
104272141328
1118a2570014
129b2894014
135311170a0
142c7554b60
151a00ce9bd
hexfea3b410

4272141328 has 160 divisors (see below), whose sum is σ = 10495328256. Its totient is φ = 1639678464.

The previous prime is 4272141311. The next prime is 4272141383. The reversal of 4272141328 is 8231412724.

4272141328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4272141293 and 4272141302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11154225 + ... + 11154607.

Almost surely, 24272141328 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 4272141328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247664128).

4272141328 is an abundant number, since it is smaller than the sum of its proper divisors (6223186928).

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

4272141328 is a wasteful number, since it uses less digits than its factorization.

4272141328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 4272141328 is about 65361.6196861736. The cubic root of 4272141328 is about 1622.6139439115.

The spelling of 4272141328 in words is "four billion, two hundred seventy-two million, one hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 47 52 56 91 94 104 112 163 182 188 208 326 329 364 376 383 611 652 658 728 752 766 1141 1222 1304 1316 1456 1532 2119 2282 2444 2608 2632 2681 3064 4238 4277 4564 4888 4979 5264 5362 6128 7661 8476 8554 9128 9776 9958 10724 14833 15322 16952 17108 18001 18256 19916 21448 29666 30644 33904 34216 34853 36002 39832 42896 53627 59332 61288 62429 68432 69706 72004 79664 99593 107254 118664 122576 124858 126007 139412 144008 199186 214508 234013 237328 249716 252014 278824 288016 398372 429016 437003 468026 499432 504028 557648 697151 796744 811577 858032 874006 936052 998864 1008056 1394302 1593488 1623154 1638091 1748012 1872104 2016112 2788604 2934163 3246308 3276182 3496024 3744208 5577208 5681039 5868326 6492616 6552364 6992048 11154416 11362078 11736652 12985232 13104728 20539141 22724156 23473304 26209456 38144119 41078282 45448312 46946608 76288238 82156564 90896624 152576476 164313128 267008833 305152952 328626256 534017666 610305904 1068035332 2136070664 4272141328