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3121142040 = 2332523933623
BaseRepresentation
bin1011101000001000…
…1101100100011000
322001111222102222100
42322002031210120
522343003021130
61233412523400
7140226161322
oct27202154430
98044872870
103121142040
111361892235
12731320560
133a981b213
1421873c612
15134022c60
hexba08d918

3121142040 has 96 divisors (see below), whose sum is σ = 10150751520. Its totient is φ = 831727104.

The previous prime is 3121142039. The next prime is 3121142041. The reversal of 3121142040 is 402411213.

3121142040 is a `hidden beast` number, since 31 + 211 + 420 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3121142039) and next prime (3121142041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121142041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859669 + ... + 863291.

It is an arithmetic number, because the mean of its divisors is an integer number (105736995).

Almost surely, 23121142040 is an apocalyptic number.

3121142040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121142040 is an abundant number, since it is smaller than the sum of its proper divisors (7029609480).

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

3121142040 is a wasteful number, since it uses less digits than its factorization.

3121142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3121142040 is about 55867.1821376378. The cubic root of 3121142040 is about 1461.4069817004.

Adding to 3121142040 its reverse (402411213), we get a palindrome (3523553253).

It can be divided in two parts, 3121 and 142040, that added together give a square (145161 = 3812).

The spelling of 3121142040 in words is "three billion, one hundred twenty-one million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2393 3623 4786 7179 7246 9572 10869 11965 14358 14492 18115 19144 21537 21738 23930 28716 28984 32607 35895 36230 43074 43476 47860 54345 57432 65214 71790 72460 86148 86952 95720 107685 108690 130428 143580 144920 163035 172296 215370 217380 260856 287160 326070 430740 434760 652140 861480 1304280 8669839 17339678 26009517 34679356 43349195 52019034 69358712 78028551 86698390 104038068 130047585 156057102 173396780 208076136 260095170 312114204 346793560 390142755 520190340 624228408 780285510 1040380680 1560571020 3121142040