Search a number
-
+
3141541320 = 23351910912641
BaseRepresentation
bin1011101101000000…
…0001110111001000
322002221100211112020
42323100001313020
522413213310240
61235422044440
7140564442411
oct27320016710
98087324466
103141541320
111372355545
12738119720
133b0b112b8
1421b32c808
15135c020d0
hexbb401dc8

3141541320 has 128 divisors (see below), whose sum is σ = 10012464000. Its totient is φ = 786309120.

The previous prime is 3141541283. The next prime is 3141541321. The reversal of 3141541320 is 231451413.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3141541321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242200 + ... + 254840.

It is an arithmetic number, because the mean of its divisors is an integer number (78222375).

Almost surely, 23141541320 is an apocalyptic number.

3141541320 is a gapful number since it is divisible by the number (30) 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 3141541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006232000).

3141541320 is an abundant number, since it is smaller than the sum of its proper divisors (6870922680).

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

3141541320 is a wasteful number, since it uses less digits than its factorization.

3141541320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12783 (or 12779 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3141541320 is about 56049.4542346310. The cubic root of 3141541320 is about 1464.5839103796.

Adding to 3141541320 its reverse (231451413), we get a palindrome (3372992733).

The spelling of 3141541320 in words is "three billion, one hundred forty-one million, five hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 109 114 120 152 190 218 228 285 327 380 436 456 545 570 654 760 872 1090 1140 1308 1635 2071 2180 2280 2616 3270 4142 4360 6213 6540 8284 10355 12426 12641 13080 16568 20710 24852 25282 31065 37923 41420 49704 50564 62130 63205 75846 82840 101128 124260 126410 151692 189615 240179 248520 252820 303384 379230 480358 505640 720537 758460 960716 1200895 1377869 1441074 1516920 1921432 2401790 2755738 2882148 3602685 4133607 4803580 5511476 5764296 6889345 7205370 8267214 9607160 11022952 13778690 14410740 16534428 20668035 26179511 27557380 28821480 33068856 41336070 52359022 55114760 78538533 82672140 104718044 130897555 157077066 165344280 209436088 261795110 314154132 392692665 523590220 628308264 785385330 1047180440 1570770660 3141541320