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1420303134312 = 2332349415713597
BaseRepresentation
bin10100101010110000101…
…010011110111001101000
312000210001100220212211100
4110222300222132321220
5141232240100244222
63004251145201400
7204420302306316
oct24526052367150
95023040825740
101420303134312
114a8390101637
121ab320790260
13a3c1b03910a
144ca58c7d0b6
1526e2a8084ac
hex14ab0a9ee68

1420303134312 has 96 divisors (see below), whose sum is σ = 3858888033000. Its totient is φ = 471929559552.

The previous prime is 1420303134293. The next prime is 1420303134319. The reversal of 1420303134312 is 2134313030241.

It is a happy number.

1420303134312 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 30 + 313 + 4 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1052565194916 + 367737939396 = 1025946^2 + 606414^2 .

It is a super-2 number, since 2×14203031343122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1420303134319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104450298 + ... + 104463894.

Almost surely, 21420303134312 is an apocalyptic number.

1420303134312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1420303134312 is an abundant number, since it is smaller than the sum of its proper divisors (2438584898688).

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

1420303134312 is a wasteful number, since it uses less digits than its factorization.

1420303134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18115 (or 18108 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1420303134312 its reverse (2134313030241), we get a palindrome (3554616164553).

The spelling of 1420303134312 in words is "one trillion, four hundred twenty billion, three hundred three million, one hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 349 698 1047 1396 2094 2792 3141 4157 4188 6282 8314 8376 12471 12564 13597 16628 24942 25128 27194 33256 37413 40791 49884 54388 74826 81582 99768 108776 122373 149652 163164 244746 299304 326328 489492 978984 1450793 2901586 4352379 4745353 5803172 8704758 9490706 11606344 13057137 14236059 17409516 18981412 26114274 28472118 34819032 37962824 42708177 52228548 56522729 56944236 85416354 104457096 113045458 113888472 169568187 170832708 226090916 339136374 341665416 452181832 508704561 678272748 1017409122 1356545496 2034818244 4069636488 19726432421 39452864842 59179297263 78905729684 118358594526 157811459368 177537891789 236717189052 355075783578 473434378104 710151567156 1420303134312