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10042453404340 = 2257227736994229
BaseRepresentation
bin1001001000100011000011…
…0111100010101010110100
31022120001022211210122101021
42102020300313202222310
52304013421032414330
633205234524510524
72054354233335400
oct222106067425264
938501284718337
1010042453404340
113221a87160055
1211623653ab444
1357accb5a4516
1426a0b349c100
15126361eee67a
hex92230de2ab4

10042453404340 has 72 divisors (see below), whose sum is σ = 24620843880360. Its totient is φ = 3430696727808.

The previous prime is 10042453404323. The next prime is 10042453404371. The reversal of 10042453404340 is 4340435424001.

It can be written as a sum of positive squares in 4 ways, for example, as 1334607183504 + 8707846220836 = 1155252^2 + 2950906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10042453404296 and 10042453404305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18225655 + ... + 18768574.

It is an arithmetic number, because the mean of its divisors is an integer number (341956165005).

Almost surely, 210042453404340 is an apocalyptic number.

10042453404340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042453404340 is an abundant number, since it is smaller than the sum of its proper divisors (14578390476020).

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

10042453404340 is a wasteful number, since it uses less digits than its factorization.

10042453404340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36994529 (or 36994520 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 10042453404340 its reverse (4340435424001), we get a palindrome (14382888828341).

The spelling of 10042453404340 in words is "ten trillion, forty-two billion, four hundred fifty-three million, four hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 277 490 554 980 1108 1385 1939 2770 3878 5540 7756 9695 13573 19390 27146 38780 54292 67865 135730 271460 36994229 73988458 147976916 184971145 258959603 369942290 517919206 739884580 1035838412 1294798015 1812717221 2589596030 3625434442 5179192060 7250868884 9063586105 10247401433 18127172210 20494802866 36254344420 40989605732 51237007165 71731810031 102474014330 143463620062 204948028660 286927240124 358659050155 502122670217 717318100310 1004245340434 1434636200620 2008490680868 2510613351085 5021226702170 10042453404340