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141946516960 = 2551667532193
BaseRepresentation
bin1000010000110010101…
…0111111010111100000
3111120101111102012000221
42010030222333113200
54311201302020320
6145113114252424
713153365325603
oct2041452772740
9446344365027
10141946516960
1155221121146
1223615727114
1310501c31791
146c27d6433a
153a5ba6c3aa
hex210cabf5e0

141946516960 has 48 divisors (see below), whose sum is σ = 335550445776. Its totient is φ = 56744439808.

The previous prime is 141946516903. The next prime is 141946516961. The reversal of 141946516960 is 69615649141.

It is a junction number, because it is equal to n+sod(n) for n = 141946516898 and 141946516907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141946516961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624 + ... + 532816.

It is an arithmetic number, because the mean of its divisors is an integer number (6990634287).

Almost surely, 2141946516960 is an apocalyptic number.

141946516960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141946516960 is an abundant number, since it is smaller than the sum of its proper divisors (193603928816).

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

141946516960 is a wasteful number, since it uses less digits than its factorization.

141946516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533875 (or 533867 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 141946516960 in words is "one hundred forty-one billion, nine hundred forty-six million, five hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1667 3334 6668 8335 13336 16670 26672 33340 53344 66680 133360 266720 532193 1064386 2128772 2660965 4257544 5321930 8515088 10643860 17030176 21287720 42575440 85150880 887165731 1774331462 3548662924 4435828655 7097325848 8871657310 14194651696 17743314620 28389303392 35486629240 70973258480 141946516960