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314240210321232 = 243132197319633907
BaseRepresentation
bin100011101110011001100000…
…0000111000011111101010000
31112012122001220112222012002210
41013130303000013003331100
5312142002422320234412
63032155543144112120
7123122051232160656
oct10734630007037520
91465561815865083
10314240210321232
1191143585556848
122b2b1a36765640
1310645956189600
145785443460dd6
15264e197db083c
hex11dccc01c3f50

314240210321232 has 120 divisors (see below), whose sum is σ = 879481432023264. Its totient is φ = 96640284329472.

The previous prime is 314240210321189. The next prime is 314240210321243. The reversal of 314240210321232 is 232123012042413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 314240210321232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6188023 + ... + 25821929.

Almost surely, 2314240210321232 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 314240210321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439740716011632).

314240210321232 is an abundant number, since it is smaller than the sum of its proper divisors (565241221702032).

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

314240210321232 is a wasteful number, since it uses less digits than its factorization.

314240210321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19635917 (or 19635898 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 314240210321232 its reverse (232123012042413), we get a palindrome (546363222363645).

The spelling of 314240210321232 in words is "three hundred fourteen trillion, two hundred forty billion, two hundred ten million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 1973 2028 2704 3946 4056 5919 7892 8112 11838 15784 23676 25649 31568 47352 51298 76947 94704 102596 153894 205192 307788 333437 410384 615576 666874 1000311 1231152 1333748 2000622 2667496 4001244 5334992 8002488 16004976 19633907 39267814 58901721 78535628 117803442 157071256 235606884 255240791 314142512 471213768 510481582 765722373 942427536 1020963164 1531444746 2041926328 3062889492 3318130283 4083852656 6125778984 6636260566 9954390849 12251557968 13272521132 19908781698 26545042264 38737698511 39817563396 53090084528 77475397022 79635126792 116213095533 154950794044 159270253584 232426191066 309901588088 464852382132 503590080643 619803176176 929704764264 1007180161286 1510770241929 1859409528528 2014360322572 3021540483858 4028720645144 6043080967716 6546671048359 8057441290288 12086161935432 13093342096718 19640013145077 24172323870864 26186684193436 39280026290154 52373368386872 78560052580308 104746736773744 157120105160616 314240210321232