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321031214140 = 225713433407369
BaseRepresentation
bin1001010101111101111…
…00111001010000111100
31010200122012212101212011
410222332330321100330
520224432442323030
6403251341021004
732123311203430
oct4527674712074
91120565771764
10321031214140
1111416a82980a
1252274854764
1324372052210
141177637c9c0
15853dc24b2a
hex4abef3943c

321031214140 has 96 divisors (see below), whose sum is σ = 831660520320. Its totient is φ = 101366194176.

The previous prime is 321031214131. The next prime is 321031214149. The reversal of 321031214140 is 41412130123.

It is an interprime number because it is at equal distance from previous prime (321031214131) and next prime (321031214149).

It is a super-2 number, since 2×3210312141402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321031214149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584376 + ... + 991744.

It is an arithmetic number, because the mean of its divisors is an integer number (8663130420).

Almost surely, 2321031214140 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 321031214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415830260160).

321031214140 is an abundant number, since it is smaller than the sum of its proper divisors (510629306180).

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

321031214140 is a wasteful number, since it uses less digits than its factorization.

321031214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407831 (or 407829 counting only the distinct ones).

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

Adding to 321031214140 its reverse (41412130123), we get a palindrome (362443344263).

The spelling of 321031214140 in words is "three hundred twenty-one billion, thirty-one million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 433 455 866 910 1732 1820 2165 3031 4330 5629 6062 8660 11258 12124 15155 22516 28145 30310 39403 56290 60620 78806 112580 157612 197015 394030 407369 788060 814738 1629476 2036845 2851583 4073690 5295797 5703166 8147380 10591594 11406332 14257915 21183188 26478985 28515830 37070579 52957970 57031660 74141158 105915940 148282316 176390777 185352895 352781554 370705790 705563108 741411580 881953885 1234735439 1763907770 2293080101 2469470878 3527815540 4586160202 4938941756 6173677195 9172320404 11465400505 12347354390 16051560707 22930801010 24694708780 32103121414 45861602020 64206242828 80257803535 160515607070 321031214140