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3014040040 = 2351153307421
BaseRepresentation
bin1011001110100110…
…1001100111101000
321210001110002122121
42303221221213220
522133043240130
61215025201024
7134455626514
oct26351514750
97701402577
103014040040
11130738a990
12701490174
1339058bc5b
1420841d144
15129918d7a
hexb3a699e8

3014040040 has 128 divisors (see below), whose sum is σ = 7580200320. Its totient is φ = 1069286400.

The previous prime is 3014040031. The next prime is 3014040061. The reversal of 3014040040 is 400404103.

It is a junction number, because it is equal to n+sod(n) for n = 3014039996 and 3014040023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7159030 + ... + 7159450.

It is an arithmetic number, because the mean of its divisors is an integer number (59220315).

Almost surely, 23014040040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3014040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790100160).

3014040040 is an abundant number, since it is smaller than the sum of its proper divisors (4566160280).

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

3014040040 is a wasteful number, since it uses less digits than its factorization.

3014040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3014040040 is about 54900.2735876607. The cubic root of 3014040040 is about 1444.4959852659.

Adding to 3014040040 its reverse (400404103), we get a palindrome (3414444143).

The spelling of 3014040040 in words is "three billion, fourteen million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 307 421 424 440 530 583 614 842 1060 1166 1228 1535 1684 2105 2120 2332 2456 2915 3070 3368 3377 4210 4631 4664 5830 6140 6754 8420 9262 11660 12280 13508 16271 16840 16885 18524 22313 23155 23320 27016 32542 33770 37048 44626 46310 65084 67540 81355 89252 92620 111565 129247 130168 135080 162710 178504 178981 185240 223130 245443 258494 325420 357962 446260 490886 516988 646235 650840 715924 892520 894905 981772 1033976 1227215 1292470 1421717 1431848 1789810 1963544 2454430 2584940 2843434 3579620 4908860 5169880 5686868 6850091 7108585 7159240 9817720 11373736 13700182 14217170 27400364 28434340 34250455 54800728 56868680 68500910 75351001 137001820 150702002 274003640 301404004 376755005 602808008 753510010 1507020020 3014040040