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321214024131440 = 245112166611684733
BaseRepresentation
bin100100100001001000111011…
…1110011100010001101110000
31120010022202112121222220011212
41021002101313303202031300
5314100232310134201230
63055055404024455252
7124441642650410426
oct11102216763421560
91503282477886155
10321214024131440
1193392114654120
123003951a91a528
1310a304775b117b
145946bad977116
1527207a96cd895
hex1242477ce2370

321214024131440 has 80 divisors (see below), whose sum is σ = 814719814210656. Its totient is φ = 116804491238400.

The previous prime is 321214024131433. The next prime is 321214024131527. The reversal of 321214024131440 is 44131420412123.

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 = 321214024131397 and 321214024131406.

It is a congruent number.

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, 189819314 + ... + 191504046.

Almost surely, 2321214024131440 is an apocalyptic number.

It is an amenable number.

321214024131440 is an abundant number, since it is smaller than the sum of its proper divisors (493505790079216).

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

321214024131440 is a wasteful number, since it uses less digits than its factorization.

321214024131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901418 (or 1901412 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 321214024131440 its reverse (44131420412123), we get a palindrome (365345444543563).

The spelling of 321214024131440 in words is "three hundred twenty-one trillion, two hundred fourteen billion, twenty-four million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 216661 433322 866644 1083305 1684733 1733288 2166610 2383271 3369466 3466576 4333220 4766542 6738932 8423665 8666440 9533084 11916355 13477864 16847330 17332880 18532063 19066168 23832710 26955728 33694660 37064126 38132336 47665420 67389320 74128252 92660315 95330840 134778640 148256504 185320630 190661680 296513008 370641260 741282520 1482565040 365015936513 730031873026 1460063746052 1825079682565 2920127492104 3650159365130 4015175301643 5840254984208 7300318730260 8030350603286 14600637460520 16060701206572 20075876508215 29201274921040 32121402413144 40151753016430 64242804826288 80303506032860 160607012065720 321214024131440