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10140433455460 = 22572114283219629
BaseRepresentation
bin1001001110010000000011…
…1011110001100101100100
31022220102020020112221200111
42103210000323301211210
52312120101431033320
633322241213222404
72064423252125200
oct223440073614544
938812206487614
1010140433455460
11325a596363710
12117934a791a04
13587314773829
14270b2a14db00
15128b98c35a5a
hex93900ef1964

10140433455460 has 144 divisors (see below), whose sum is σ = 27030029261760. Its totient is φ = 3159902242560.

The previous prime is 10140433455457. The next prime is 10140433455469. The reversal of 10140433455460 is 6455433404101.

It is a super-2 number, since 2×101404334554602 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10140433455469) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 46060926 + ... + 46280554.

It is an arithmetic number, because the mean of its divisors is an integer number (187708536540).

Almost surely, 210140433455460 is an apocalyptic number.

10140433455460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140433455460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13515014630880).

10140433455460 is an abundant number, since it is smaller than the sum of its proper divisors (16889595806300).

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

10140433455460 is a wasteful number, since it uses less digits than its factorization.

10140433455460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223946 (or 223937 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 10140433455460 its reverse (6455433404101), we get a palindrome (16595866859561).

The spelling of 10140433455460 in words is "ten trillion, one hundred forty billion, four hundred thirty-three million, four hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 4283 5390 8566 10780 17132 21415 29981 42830 47113 59962 85660 94226 119924 149905 188452 209867 219629 235565 299810 329791 419734 439258 471130 599620 659582 839468 878516 942260 1049335 1098145 1319164 1537403 1648955 2098670 2196290 2308537 2415919 3074806 3297910 4197340 4392580 4617074 4831838 6149612 6595820 7687015 9234148 9663676 10761821 11542685 12079595 15374030 16911433 21523642 23085370 24159190 30748060 33822866 43047284 46170740 48318380 53809105 67645732 84557165 107618210 118380031 169114330 215236420 236760062 338228660 473520124 591900155 940671007 1183800310 1881342014 2367600620 3762684028 4703355035 6584697049 9406710070 10347381077 13169394098 18813420140 20694762154 26338788196 32923485245 41389524308 46092879343 51736905385 65846970490 72431667539 92185758686 103473810770 131693940980 144863335078 184371517372 206947621540 230464396715 289726670156 362158337695 460928793430 507021672773 724316675390 921857586860 1014043345546 1448633350780 2028086691092 2535108363865 5070216727730 10140433455460