Search a number
-
+
3143010420 = 22325117872017
BaseRepresentation
bin1011101101010110…
…1000100001110100
322010001010110202100
42323111220201310
522414102313140
61235513342100
7140613101454
oct27325504164
98101113670
103143010420
111373169280
12738707930
133b1206ba4
1421b5d1d64
15135de2530
hexbb568874

3143010420 has 144 divisors (see below), whose sum is σ = 10418885568. Its totient is φ = 760596480.

The previous prime is 3143010413. The next prime is 3143010487. The reversal of 3143010420 is 240103413.

3143010420 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 3143010393 and 3143010402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1557252 + ... + 1559268.

It is an arithmetic number, because the mean of its divisors is an integer number (72353372).

Almost surely, 23143010420 is an apocalyptic number.

3143010420 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 3143010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209442784).

3143010420 is an abundant number, since it is smaller than the sum of its proper divisors (7275875148).

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

3143010420 is a wasteful number, since it uses less digits than its factorization.

3143010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3143010420 is about 56062.5580936154. The cubic root of 3143010420 is about 1464.8121725285.

Adding to 3143010420 its reverse (240103413), we get a palindrome (3383113833).

The spelling of 3143010420 in words is "three billion, one hundred forty-three million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 787 990 1574 1980 2017 2361 3148 3935 4034 4722 6051 7083 7870 8068 8657 9444 10085 11805 12102 14166 15740 17314 18153 20170 22187 23610 24204 25971 28332 30255 34628 35415 36306 40340 43285 44374 47220 51942 60510 66561 70830 72612 77913 86570 88748 90765 103884 110935 121020 129855 133122 141660 155826 173140 181530 199683 221870 259710 266244 311652 332805 363060 389565 399366 443740 519420 665610 779130 798732 998415 1331220 1558260 1587379 1996830 3174758 3993660 4762137 6349516 7936895 9524274 14286411 15873790 17461169 19048548 23810685 28572822 31747580 34922338 47621370 52383507 57145644 69844676 71432055 87305845 95242740 104767014 142864110 157150521 174611690 209534028 261917535 285728220 314301042 349223380 523835070 628602084 785752605 1047670140 1571505210 3143010420