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6440746242 = 2371729535869
BaseRepresentation
bin1011111111110010…
…11111110100000010
3121121212101210212010
411333321133310002
5101142312334432
62543035313350
7315415303560
oct57771376402
917555353763
106440746242
1128056a6a87
1212b8bab856
137b84a5768
1445157ca30
1527a6993cc
hex17fe5fd02

6440746242 has 128 divisors (see below), whose sum is σ = 16432243200. Its totient is φ = 1640411136.

The previous prime is 6440746229. The next prime is 6440746243. The reversal of 6440746242 is 2426470446.

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 6440746242.

It is not an unprimeable number, because it can be changed into a prime (6440746243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1094484 + ... + 1100352.

It is an arithmetic number, because the mean of its divisors is an integer number (128376900).

Almost surely, 26440746242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6440746242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216121600).

6440746242 is an abundant number, since it is smaller than the sum of its proper divisors (9991496958).

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

6440746242 is a wasteful number, since it uses less digits than its factorization.

6440746242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980.

The product of its (nonzero) digits is 258048, while the sum is 39.

The square root of 6440746242 is about 80254.2599616992. The cubic root of 6440746242 is about 1860.5673532271.

The spelling of 6440746242 in words is "six billion, four hundred forty million, seven hundred forty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 51 53 58 87 102 106 119 159 174 203 238 318 357 371 406 493 609 714 742 901 986 1113 1218 1479 1537 1802 2226 2703 2958 3074 3451 4611 5406 5869 6307 6902 9222 10353 10759 11738 12614 17607 18921 20706 21518 26129 32277 35214 37842 41083 52258 64554 78387 82166 99773 123249 156774 170201 182903 199546 246498 299319 311057 340402 365806 510603 548709 598638 622114 698411 933171 1021206 1097418 1191407 1396822 1866342 2095233 2177399 2382814 2893417 3574221 4190466 4354798 5287969 5786834 6532197 7148442 8680251 9020653 10575938 13064394 15863907 17360502 18041306 20253919 27061959 31727814 37015783 40507838 54123918 60761757 63144571 74031566 111047349 121523514 126289142 153351101 189433713 222094698 306702202 378867426 460053303 920106606 1073457707 2146915414 3220373121 6440746242