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434255316153340 = 225113435435745679
BaseRepresentation
bin110001010111100111111000…
…1110111000111001111111100
32002221120101212122001000002111
41202233033301313013033330
5423404314341413401330
64135330045503303404
7160316624362000033
oct14257176167071774
92087511778030074
10434255316153340
11116404710a57220
124085570a8aab64
1315840140038576
1479340d87c371a
153530e9d78332a
hex18af3f1dc73fc

434255316153340 has 48 divisors (see below), whose sum is σ = 994842520519680. Its totient is φ = 157910536918080.

The previous prime is 434255316153301. The next prime is 434255316153349. The reversal of 434255316153340 is 43351613552434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434255316153349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72706621 + ... + 78452299.

It is an arithmetic number, because the mean of its divisors is an integer number (20725885844160).

Almost surely, 2434255316153340 is an apocalyptic number.

It is an amenable number.

434255316153340 is an abundant number, since it is smaller than the sum of its proper divisors (560587204366340).

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

434255316153340 is a wasteful number, since it uses less digits than its factorization.

434255316153340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089242 (or 6089240 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 49.

The spelling of 434255316153340 in words is "four hundred thirty-four trillion, two hundred fifty-five billion, three hundred sixteen million, one hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 343543 687086 1374172 1717715 3435430 3778973 5745679 6870860 7557946 11491358 15115892 18894865 22982716 28728395 37789730 57456790 63202469 75579460 114913580 126404938 252809876 316012345 632024690 1264049380 1973887800697 3947775601394 7895551202788 9869439003485 19738878006970 21712765807667 39477756013940 43425531615334 86851063230668 108563829038335 217127658076670 434255316153340