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1429106640 = 243513458047
BaseRepresentation
bin101010100101110…
…0110111111010000
310200121010010202120
41111023212333100
510411322403030
6353450414240
750262130443
oct12513467720
93617103676
101429106640
11673769a75
1233a731380
1319a0ccc40
14d7b2b65a
15856e4010
hex552e6fd0

1429106640 has 80 divisors (see below), whose sum is σ = 4771027968. Its totient is φ = 351779328.

The previous prime is 1429106639. The next prime is 1429106663. The reversal of 1429106640 is 466019241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225904 + ... + 232143.

Almost surely, 21429106640 is an apocalyptic number.

1429106640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1429106640 is an abundant number, since it is smaller than the sum of its proper divisors (3341921328).

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

1429106640 is a wasteful number, since it uses less digits than its factorization.

1429106640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458076 (or 458070 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1429106640 is about 37803.5268195971. The cubic root of 1429106640 is about 1126.3885117213.

The spelling of 1429106640 in words is "one billion, four hundred twenty-nine million, one hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 458047 916094 1374141 1832188 2290235 2748282 3664376 4580470 5496564 5954611 6870705 7328752 9160940 10993128 11909222 13741410 17863833 18321880 21986256 23818444 27482820 29773055 35727666 36643760 47636888 54965640 59546110 71455332 89319165 95273776 109931280 119092220 142910664 178638330 238184440 285821328 357276660 476368880 714553320 1429106640