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303441131412 = 223227178739521
BaseRepresentation
bin1000110101001101000…
…00000011011110010100
31002000020100000121121200
410122212200003132110
514432421412201122
6351222100312500
730631361026416
oct4324640033624
91060210017550
10303441131412
11107763676261
124a9859a2730
13227caa26243
14109881789b6
157d5e83d5ac
hex46a6803794

303441131412 has 72 divisors (see below), whose sum is σ = 770859852672. Its totient is φ = 100643212800.

The previous prime is 303441131407. The next prime is 303441131453. The reversal of 303441131412 is 214131144303.

303441131412 is a `hidden beast` number, since 3 + 0 + 344 + 1 + 1 + 314 + 1 + 2 = 666.

It is a super-2 number, since 2×3034411314122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7658212 + ... + 7697732.

Almost surely, 2303441131412 is an apocalyptic number.

It is an amenable number.

303441131412 is an abundant number, since it is smaller than the sum of its proper divisors (467418721260).

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

303441131412 is a wasteful number, since it uses less digits than its factorization.

303441131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40589 (or 40584 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 303441131412 its reverse (214131144303), we get a palindrome (517572275715).

The spelling of 303441131412 in words is "three hundred three billion, four hundred forty-one million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 271 542 787 813 1084 1574 1626 2361 2439 3148 3252 4722 4878 7083 9444 9756 14166 28332 39521 79042 118563 158084 213277 237126 355689 426554 474252 639831 711378 853108 1279662 1422756 1919493 2559324 3838986 7677972 10710191 21420382 31103027 32130573 42840764 62206054 64261146 93309081 96391719 124412108 128522292 186618162 192783438 279927243 373236324 385566876 559854486 1119708972 8428920317 16857840634 25286760951 33715681268 50573521902 75860282853 101147043804 151720565706 303441131412