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60440721012 = 223276110213851
BaseRepresentation
bin111000010010100011…
…000011011001110100
312210000012212202022200
4320102203003121310
51442240311033022
643433250224500
74236530436420
oct702243033164
9183005782280
1060440721012
11236a6236301
12b869585130
135912b58559
142cd5217b80
15188b2abbac
hexe128c3674

60440721012 has 144 divisors (see below), whose sum is σ = 177688877184. Its totient is φ = 16964640000.

The previous prime is 60440720969. The next prime is 60440721013. The reversal of 60440721012 is 21012704406.

60440721012 is a `hidden beast` number, since 6 + 0 + 440 + 7 + 210 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60440721013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15692887 + ... + 15696737.

It is an arithmetic number, because the mean of its divisors is an integer number (1233950536).

Almost surely, 260440721012 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 60440721012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88844438592).

60440721012 is an abundant number, since it is smaller than the sum of its proper divisors (117248156172).

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

60440721012 is a wasteful number, since it uses less digits than its factorization.

60440721012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 60440721012 in words is "sixty billion, four hundred forty million, seven hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1021 1098 1281 1708 2042 2196 2562 3063 3843 3851 4084 5124 6126 7147 7686 7702 9189 11553 12252 14294 15372 15404 18378 21441 23106 26957 28588 34659 36756 42882 46212 53914 62281 64323 69318 80871 85764 107828 124562 128646 138636 161742 186843 234911 242613 249124 257292 323484 373686 435967 469822 485226 560529 704733 747372 871934 939644 970452 1121058 1307901 1409466 1644377 1743868 2114199 2242116 2615802 2818932 3288754 3923703 3931871 4228398 4933131 5231604 6577508 7847406 7863742 8456796 9866262 11795613 14799393 15694812 15727484 19732524 23591226 27523097 29598786 35386839 47182452 55046194 59197572 70773678 82569291 110092388 141547356 165138582 239844131 247707873 330277164 479688262 495415746 719532393 959376524 990831492 1439064786 1678908917 2158597179 2878129572 3357817834 4317194358 5036726751 6715635668 8634388716 10073453502 15110180253 20146907004 30220360506 60440721012