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3122023240441 = 723110350339671
BaseRepresentation
bin101101011011100111000…
…101100001001011111001
3102001110111011112011001201
4231123213011201023321
5402122400422143231
610350123201014201
7441362434454500
oct55334705411371
912043434464051
103122023240441
11aa4051801336
1242509b324361
13198536c3a961
14ab16cc27837
155632714d161
hex2d6e71612f9

3122023240441 has 48 divisors (see below), whose sum is σ = 3792912334848. Its totient is φ = 2559390976800.

The previous prime is 3122023240439. The next prime is 3122023240489. The reversal of 3122023240441 is 1440423202213.

It is not a de Polignac number, because 3122023240441 - 21 = 3122023240439 is a prime.

It is a super-2 number, since 2×31220232404412 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3122023240411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78678036 + ... + 78717706.

It is an arithmetic number, because the mean of its divisors is an integer number (79019006976).

Almost surely, 23122023240441 is an apocalyptic number.

3122023240441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3122023240441 is a deficient number, since it is larger than the sum of its proper divisors (670889094407).

3122023240441 is a wasteful number, since it uses less digits than its factorization.

3122023240441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40322 (or 40315 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3122023240441 its reverse (1440423202213), we get a palindrome (4562446442654).

The spelling of 3122023240441 in words is "three trillion, one hundred twenty-two billion, twenty-three million, two hundred forty thousand, four hundred forty-one".

Divisors: 1 7 31 49 103 217 503 721 1519 3193 3521 5047 15593 22351 24647 39671 51809 109151 156457 277697 362663 764057 1229801 1606079 1943879 2538641 4086113 8608607 11242553 19954513 28602791 60260249 78697871 126669503 139681591 200219537 618589903 886686521 977771137 2055314839 4330129321 6206805647 14387203873 30310905247 63714760009 100710427111 446003320063 3122023240441