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10140442341000 = 233535216487807
BaseRepresentation
bin1001001110010000000101…
…1101101010111010001000
31022220102020212021101100120
42103210001131222322020
52312120111214403000
633322242131503240
72064423420503436
oct223440135527210
938812225241316
1010140442341000
11325a5a0382534
121179351757b20
1358731656504a
14270b2b3c3d56
15128b998dd6a0
hex9390176ae88

10140442341000 has 128 divisors (see below), whose sum is σ = 31698910863360. Its totient is φ = 2698927296000.

The previous prime is 10140442340999. The next prime is 10140442341013. The reversal of 10140442341000 is 14324404101.

It is a super-2 number, since 2×101404423410002 (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 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 31 ways as a sum of consecutive naturals, for example, 1680904 + ... + 4806903.

It is an arithmetic number, because the mean of its divisors is an integer number (247647741120).

Almost surely, 210140442341000 is an apocalyptic number.

10140442341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140442341000 is an abundant number, since it is smaller than the sum of its proper divisors (21558468522360).

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

10140442341000 is a wasteful number, since it uses less digits than its factorization.

10140442341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488352 (or 6488338 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10140442341000 its reverse (14324404101), we get a palindrome (10154766745101).

The spelling of 10140442341000 in words is "ten trillion, one hundred forty billion, four hundred forty-two million, three hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 521 600 750 1000 1042 1500 1563 2084 2605 3000 3126 4168 5210 6252 7815 10420 12504 13025 15630 20840 26050 31260 39075 52100 62520 65125 78150 104200 130250 156300 195375 260500 312600 390750 521000 781500 1563000 6487807 12975614 19463421 25951228 32439035 38926842 51902456 64878070 77853684 97317105 129756140 155707368 162195175 194634210 259512280 324390350 389268420 486585525 648780700 778536840 810975875 973171050 1297561400 1621951750 1946342100 2432927625 3243903500 3380147447 3892684200 4865855250 6487807000 6760294894 9731710500 10140442341 13520589788 16900737235 19463421000 20280884682 27041179576 33801474470 40561769364 50702211705 67602948940 81123538728 84503686175 101404423410 135205897880 169007372350 202808846820 253511058525 338014744700 405617693640 422518430875 507022117050 676029489400 845036861750 1014044234100 1267555292625 1690073723500 2028088468200 2535110585250 3380147447000 5070221170500 10140442341000