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430410313314140 = 225233709130271831
BaseRepresentation
bin110000111011101001011010…
…1110101010010111101011100
32002102221211020202211212221112
41201313102311311102331130
5422403320310202023030
64123223433540321152
7156442055542056035
oct14167226565227534
92072854222755845
10430410313314140
11115161a97101665
124033449b0a31b8
1315621697b95783
14783dd82797a8c
1534b5e5ee4ca95
hex18774b5d52f5c

430410313314140 has 48 divisors (see below), whose sum is σ = 909021211076160. Its totient is φ = 171183437667840.

The previous prime is 430410313314109. The next prime is 430410313314151. The reversal of 430410313314140 is 41413313014034.

It is a junction number, because it is equal to n+sod(n) for n = 430410313314097 and 430410313314106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61831976 + ... + 68439855.

It is an arithmetic number, because the mean of its divisors is an integer number (18937941897420).

Almost surely, 2430410313314140 is an apocalyptic number.

It is an amenable number.

430410313314140 is an abundant number, since it is smaller than the sum of its proper divisors (478610897762020).

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

430410313314140 is a wasteful number, since it uses less digits than its factorization.

430410313314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130272782 (or 130272780 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 430410313314140 its reverse (41413313014034), we get a palindrome (471823626328174).

The spelling of 430410313314140 in words is "four hundred thirty trillion, four hundred ten billion, three hundred thirteen million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 233 466 709 932 1165 1418 2330 2836 3545 4660 7090 14180 165197 330394 660788 825985 1651970 3303940 130271831 260543662 521087324 651359155 1302718310 2605436620 30353336623 60706673246 92362728179 121413346492 151766683115 184725456358 303533366230 369450912716 461813640895 607066732460 923627281790 1847254563580 21520515665707 43041031331414 86082062662828 107602578328535 215205156657070 430410313314140