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434403217140 = 223517425885507
BaseRepresentation
bin1100101001001000111…
…00110000111011110100
31112112021022021212202020
412110210130300323310
524104124210422030
6531321224313140
743245626264424
oct6244434607364
91475238255666
10434403217140
11158258322662
12702349127b0
1331c6c021869
141704d322484
15b476d94510
hex6524730ef4

434403217140 has 48 divisors (see below), whose sum is σ = 1287877776192. Its totient is φ = 109026689536.

The previous prime is 434403217133. The next prime is 434403217153. The reversal of 434403217140 is 41712304434.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 212941734 + ... + 212943773.

It is an arithmetic number, because the mean of its divisors is an integer number (26830787004).

Almost surely, 2434403217140 is an apocalyptic number.

It is an amenable number.

434403217140 is an abundant number, since it is smaller than the sum of its proper divisors (853474559052).

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

434403217140 is a wasteful number, since it uses less digits than its factorization.

434403217140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425885536 (or 425885534 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 434403217140 in words is "four hundred thirty-four billion, four hundred three million, two hundred seventeen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 425885507 851771014 1277656521 1703542028 2129427535 2555313042 4258855070 5110626084 6388282605 7240053619 8517710140 12776565210 14480107238 21720160857 25553130420 28960214476 36200268095 43440321714 72400536190 86880643428 108600804285 144801072380 217201608570 434403217140