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1420333440312 = 2333141193124113
BaseRepresentation
bin10100101010110010011…
…110000101110100111000
312000210010110221120211210
4110222302132011310320
5141232320330042222
63004254150523120
7204421121021103
oct24526236056470
95023113846753
101420333440312
114a83a6220a16
121ab32a9664a0
13a3c243ba467
144ca5cccb73a
1526e2d2e2d0c
hex14ab2785d38

1420333440312 has 128 divisors (see below), whose sum is σ = 3756876318720. Its totient is φ = 446747136000.

The previous prime is 1420333440293. The next prime is 1420333440313. The reversal of 1420333440312 is 2130443330241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1420333440312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420333440313) 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, 58891168 + ... + 58915280.

It is an arithmetic number, because the mean of its divisors is an integer number (29350596240).

Almost surely, 21420333440312 is an apocalyptic number.

1420333440312 is a gapful number since it is divisible by the number (12) 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 1420333440312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878438159360).

1420333440312 is an abundant number, since it is smaller than the sum of its proper divisors (2336542878408).

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

1420333440312 is a wasteful number, since it uses less digits than its factorization.

1420333440312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26125 (or 26121 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1420333440312 its reverse (2130443330241), we get a palindrome (3550776770553).

The spelling of 1420333440312 in words is "one trillion, four hundred twenty billion, three hundred thirty-three million, four hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 328 372 492 744 984 1271 1931 2542 3813 3862 5084 5793 7626 7724 10168 11586 15252 15448 23172 24113 30504 46344 48226 59861 72339 79171 96452 119722 144678 158342 179583 192904 237513 239444 289356 316684 359166 475026 478888 578712 633368 718332 747503 950052 988633 1436664 1495006 1900104 1977266 2242509 2454301 2965899 2990012 3954532 4485018 4908602 5931798 5980024 7362903 7909064 8970036 9817204 11863596 14725806 17940072 19634408 23727192 29451612 30647623 46562203 58903224 61295246 91942869 93124406 122590492 139686609 183885738 186248812 245180984 279373218 367771476 372497624 558746436 735542952 1117492872 1443428293 1909050323 2886856586 3818100646 4330284879 5727150969 5773713172 7636201292 8660569758 11454301938 11547426344 15272402584 17321139516 22908603876 34642279032 45817207752 59180560013 118361120026 177541680039 236722240052 355083360078 473444480104 710166720156 1420333440312