Search a number
-
+
4141352880 = 243357273899
BaseRepresentation
bin1111011011011000…
…0000011110110000
3101200121200112011000
43312312000132300
531440141243010
61522535322000
7204424630050
oct36666003660
911617615130
104141352880
11183575a795
12976b20300
1350ccb3782
142b402b560
151938977c0
hexf6d807b0

4141352880 has 160 divisors (see below), whose sum is σ = 16302528000. Its totient is φ = 946591488.

The previous prime is 4141352857. The next prime is 4141352903. The reversal of 4141352880 is 882531414.

4141352880 is a `hidden beast` number, since 41 + 4 + 13 + 528 + 80 = 666.

4141352880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4141352857) and next prime (4141352903).

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

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, 121830 + ... + 152069.

It is an arithmetic number, because the mean of its divisors is an integer number (101890800).

Almost surely, 24141352880 is an apocalyptic number.

4141352880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141352880 is an abundant number, since it is smaller than the sum of its proper divisors (12161175120).

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

4141352880 is a wasteful number, since it uses less digits than its factorization.

4141352880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273928 (or 273916 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4141352880 is about 64353.3439690588. The cubic root of 4141352880 is about 1605.8836604832.

The spelling of 4141352880 in words is "four billion, one hundred forty-one million, three hundred fifty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 273899 547798 821697 1095596 1369495 1643394 1917293 2191192 2465091 2738990 3286788 3834586 4108485 4382384 4930182 5477980 5751879 6573576 7395273 7669172 8216970 9586465 9860364 10955960 11503758 12325455 13147152 14790546 15338344 16433940 17255637 19172930 19720728 21911920 23007516 24650910 28759395 29581092 30676688 32867880 34511274 36976365 38345860 39441456 46015032 49301820 51766911 57518790 59162184 65735760 69022548 73952730 76691720 86278185 92030064 98603640 103533822 115037580 118324368 138045096 147905460 153383440 172556370 197207280 207067644 230075160 258834555 276090192 295810920 345112740 414135288 460150320 517669110 591621840 690225480 828270576 1035338220 1380450960 2070676440 4141352880