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331143023430 = 2325103279112799
BaseRepresentation
bin1001101000110011010…
…10011000101101000110
31011122201221000112111100
410310121222120231012
520411140103222210
6412043000120530
732632014154122
oct4643152305506
91148657015440
10331143023430
1111848967079a
1254217166146
13252c3c5941b
14120552c8582
15893181b5c0
hex4d19a98b46

331143023430 has 96 divisors (see below), whose sum is σ = 869710233600. Its totient is φ = 87409316160.

The previous prime is 331143023417. The next prime is 331143023459. The reversal of 331143023430 is 34320341133.

331143023430 is a `hidden beast` number, since 3 + 3 + 1 + 14 + 302 + 343 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331143023394 and 331143023403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25866171 + ... + 25878969.

It is an arithmetic number, because the mean of its divisors is an integer number (9059481600).

Almost surely, 2331143023430 is an apocalyptic number.

331143023430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331143023430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434855116800).

331143023430 is an abundant number, since it is smaller than the sum of its proper divisors (538567210170).

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

331143023430 is a wasteful number, since it uses less digits than its factorization.

331143023430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15706 (or 15703 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 331143023430 its reverse (34320341133), we get a palindrome (365463364563).

The spelling of 331143023430 in words is "three hundred thirty-one billion, one hundred forty-three million, twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 2791 3090 4635 5582 8373 9270 12799 13955 16746 25119 25598 27910 38397 41865 50238 63995 76794 83730 115191 125595 127990 191985 230382 251190 287473 383970 574946 575955 862419 1151910 1318297 1437365 1724838 2587257 2636594 2874730 3954891 4312095 5174514 6591485 7909782 8624190 11864673 12936285 13182970 19774455 23729346 25872570 35722009 39548910 59323365 71444018 107166027 118646730 178610045 214332054 321498081 357220090 535830135 642996162 1071660270 1607490405 3214980810 3679366927 7358733854 11038100781 18396834635 22076201562 33114302343 36793669270 55190503905 66228604686 110381007810 165571511715 331143023430