Search a number
-
+
4155051120 = 24351110115583
BaseRepresentation
bin1111011110101001…
…0000110001110000
3101201120110110121020
43313222100301300
532002143113440
61524145055440
7204652231443
oct36752206160
911646413536
104155051120
111842466450
1297b627580
13512a9b73c
142b5b9565a
15194ba13d0
hexf7a90c70

4155051120 has 160 divisors (see below), whose sum is σ = 14191663104. Its totient is φ = 997248000.

The previous prime is 4155051097. The next prime is 4155051139. The reversal of 4155051120 is 211505514.

4155051120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 258849 + ... + 274431.

Almost surely, 24155051120 is an apocalyptic number.

4155051120 is a gapful number since it is divisible by the number (40) 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 4155051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095831552).

4155051120 is an abundant number, since it is smaller than the sum of its proper divisors (10036611984).

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

4155051120 is a wasteful number, since it uses less digits than its factorization.

4155051120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15711 (or 15705 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 4155051120 is about 64459.6860060612. The cubic root of 4155051120 is about 1607.6522910960.

Adding to 4155051120 its reverse (211505514), we get a palindrome (4366556634).

The spelling of 4155051120 in words is "four billion, one hundred fifty-five million, fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 2020 2222 2424 2640 3030 3333 4040 4444 4848 5555 6060 6666 8080 8888 11110 12120 13332 15583 16665 17776 22220 24240 26664 31166 33330 44440 46749 53328 62332 66660 77915 88880 93498 124664 133320 155830 171413 186996 233745 249328 266640 311660 342826 373992 467490 514239 623320 685652 747984 857065 934980 1028478 1246640 1371304 1573883 1714130 1869960 2056956 2571195 2742608 3147766 3428260 3739920 4113912 4721649 5142390 6295532 6856520 7869415 8227824 9443298 10284780 12591064 13713040 15738830 17312713 18886596 20569560 23608245 25182128 31477660 34625426 37773192 41139120 47216490 51938139 62955320 69250852 75546384 86563565 94432980 103876278 125910640 138501704 173127130 188865960 207752556 259690695 277003408 346254260 377731920 415505112 519381390 692508520 831010224 1038762780 1385017040 2077525560 4155051120