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10002340240440 = 23351723213178607
BaseRepresentation
bin1001000110001101100111…
…1011111101110000111000
31022102012210021210210012020
42101203121323331300320
52302334243100143230
633135002304314440
72051434213144602
oct221433173756070
938365707723166
1010002340240440
113206a7233a329
12115662b612a20
135772a7c4c792
14268189c74172
151252b5612810
hex918d9efdc38

10002340240440 has 128 divisors (see below), whose sum is σ = 33153537116160. Its totient is φ = 2401243817984.

The previous prime is 10002340240411. The next prime is 10002340240471. The reversal of 10002340240440 is 4404204320001.

It is a happy number.

It is a super-2 number, since 2×100023402404402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10002340240440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106542384 + ... + 106636223.

It is an arithmetic number, because the mean of its divisors is an integer number (259012008720).

Almost surely, 210002340240440 is an apocalyptic number.

10002340240440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002340240440 is an abundant number, since it is smaller than the sum of its proper divisors (23151196875720).

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

10002340240440 is a wasteful number, since it uses less digits than its factorization.

10002340240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213178661 (or 213178657 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10002340240440 its reverse (4404204320001), we get a palindrome (14406544560441).

The spelling of 10002340240440 in words is "ten trillion, two billion, three hundred forty million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 680 690 782 920 1020 1173 1380 1564 1955 2040 2346 2760 3128 3910 4692 5865 7820 9384 11730 15640 23460 46920 213178607 426357214 639535821 852714428 1065893035 1279071642 1705428856 2131786070 2558143284 3197679105 3624036319 4263572140 4903107961 5116286568 6395358210 7248072638 8527144280 9806215922 10872108957 12790716420 14496145276 14709323883 18120181595 19612431844 21744217914 24515539805 25581432840 28992290552 29418647766 36240363190 39224863688 43488435828 49031079610 54360544785 58837295532 72480726380 73546619415 83352835337 86976871656 98062159220 108721089570 117674591064 144961452760 147093238830 166705670674 196124318440 217442179140 250058506011 294186477660 333411341348 416764176685 434884358280 500117012022 588372955320 666822682696 833528353370 1000234024044 1250292530055 1667056706740 2000468048088 2500585060110 3334113413480 5001170120220 10002340240440