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321140431120 = 24523222178583
BaseRepresentation
bin1001010110001010111…
…01100001100100010000
31010200220211101012101111
410223011131201210100
520230143422243440
6403310241543104
732126105424325
oct4530535414420
91120824335344
10321140431120
11114216446083
12522a5344a94
132438b872052
1411786a8cb4c
1585485ea4ea
hex4ac5761910

321140431120 has 80 divisors (see below), whose sum is σ = 779475324672. Its totient is φ = 122814236160.

The previous prime is 321140431103. The next prime is 321140431193. The reversal of 321140431120 is 21134041123.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 321140431091 and 321140431100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4047349 + ... + 4125931.

Almost surely, 2321140431120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321140431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389737662336).

321140431120 is an abundant number, since it is smaller than the sum of its proper divisors (458334893552).

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

321140431120 is a wasteful number, since it uses less digits than its factorization.

321140431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80840 (or 80834 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 321140431120 its reverse (21134041123), we get a palindrome (342274472243).

The spelling of 321140431120 in words is "three hundred twenty-one billion, one hundred forty million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 2221 4442 8884 11105 17768 22210 35536 44420 51083 78583 88840 102166 157166 177680 204332 255415 314332 392915 408664 510830 628664 785830 817328 1021660 1257328 1571660 1807409 2043320 3143320 3614818 4086640 6286640 7229636 9037045 14459272 18074090 28918544 36148180 72296360 144592720 174532843 349065686 698131372 872664215 1396262744 1745328430 2792525488 3490656860 4014255389 6981313720 8028510778 13962627440 16057021556 20071276945 32114043112 40142553890 64228086224 80285107780 160570215560 321140431120