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120460361476 = 227213219072
BaseRepresentation
bin111000000101111111…
…1110011111100000100
3102111221002102101201111
41300023333303330010
53433200323031401
6131201055334404
711463056115100
oct1601377637404
9374832371644
10120460361476
11470a5808554
121b419b21404
13b4896a1300
145b8a540900
1532005dde51
hex1c0bff3f04

120460361476 has 81 divisors (see below), whose sum is σ = 265676516469. Its totient is φ = 47629659168.

The previous prime is 120460361429. The next prime is 120460361561. The reversal of 120460361476 is 674163064021.

The square root of 120460361476 is 347074.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17819580100 + 102640781376 = 133490^2 + 320376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63166515 + ... + 63168421.

Almost surely, 2120460361476 is an apocalyptic number.

120460361476 is the 347074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120460361476

120460361476 is an abundant number, since it is smaller than the sum of its proper divisors (145216154993).

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

120460361476 is an equidigital number, since it uses as much as digits as its factorization.

120460361476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 120460361476 in words is "one hundred twenty billion, four hundred sixty million, three hundred sixty-one thousand, four hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 1907 2366 2548 3814 4732 7628 8281 13349 16562 24791 26698 33124 49582 53396 93443 99164 173537 186886 322283 347074 373772 644566 694148 1214759 1289132 2255981 2429518 3636649 4511962 4859036 7273298 9023924 14546596 15791867 25456543 31583734 47276437 50913086 63167468 94552874 101826172 178195801 189105748 330935059 356391602 614593681 661870118 712783204 1229187362 1323740236 2316545413 2458374724 4302155767 4633090826 8604311534 9266181652 17208623068 30115090369 60230180738 120460361476