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10140252453344 = 2513175712511137
BaseRepresentation
bin1001001110001111011000…
…1001010011100111100000
31022220101202121222002110102
42103203312021103213200
52312114214112001334
633322211225521532
72064415623464216
oct223436611234740
938811677862412
1010140252453344
11325a503177092
1211792ba0432a8
135872b610b7a0
14270b100b4cb6
15128b87dd067e
hex938f62539e0

10140252453344 has 96 divisors (see below), whose sum is σ = 22803824979936. Its totient is φ = 4397099581440.

The previous prime is 10140252453337. The next prime is 10140252453367. The reversal of 10140252453344 is 44335425204101.

It is a junction number, because it is equal to n+sod(n) for n = 10140252453298 and 10140252453307.

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, 2782544 + ... + 5293680.

It is an arithmetic number, because the mean of its divisors is an integer number (237539843541).

Almost surely, 210140252453344 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 10140252453344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11401912489968).

10140252453344 is an abundant number, since it is smaller than the sum of its proper divisors (12663572526592).

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

10140252453344 is a wasteful number, since it uses less digits than its factorization.

10140252453344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511748 (or 2511740 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 10140252453344 its reverse (44335425204101), we get a palindrome (54475677657445).

The spelling of 10140252453344 in words is "ten trillion, one hundred forty billion, two hundred fifty-two million, four hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 571 884 1142 1768 2284 3536 4568 7072 7423 9136 9707 14846 18272 19414 29692 38828 59384 77656 118768 126191 155312 237536 252382 310624 504764 1009528 2019056 2511137 4038112 5022274 10044548 20089096 32644781 40178192 42689329 65289562 80356384 85378658 130579124 170757316 261158248 341514632 522316496 554961277 683029264 1044632992 1109922554 1366058528 1433859227 2219845108 2867718454 4439690216 5735436908 8879380432 11470873816 17758760864 18640169951 22941747632 24375606859 37280339902 45883495264 48751213718 74560679804 97502427436 149121359608 195004854872 298242719216 316882889167 390009709744 596485438432 633765778334 780019419488 1267531556668 2535063113336 5070126226672 10140252453344