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1429801680 = 243519313553
BaseRepresentation
bin101010100111001…
…0000101011010000
310200122102110011210
41111032100223100
510412012123210
6353513340120
750301054006
oct12516205320
93618373153
101429801680
116740a418a
1233aa07640
1319a2b43c8
14d7c6ca76
15857cee20
hex55390ad0

1429801680 has 80 divisors (see below), whose sum is σ = 4665683520. Its totient is φ = 361211904.

The previous prime is 1429801673. The next prime is 1429801757. The reversal of 1429801680 is 861089241.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152217 + ... + 161336.

It is an arithmetic number, because the mean of its divisors is an integer number (58321044).

Almost surely, 21429801680 is an apocalyptic number.

1429801680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1429801680 is an abundant number, since it is smaller than the sum of its proper divisors (3235881840).

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

1429801680 is a wasteful number, since it uses less digits than its factorization.

1429801680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313588 (or 313582 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1429801680 is about 37812.7184952365. The cubic root of 1429801680 is about 1126.5710868970.

The spelling of 1429801680 in words is "one billion, four hundred twenty-nine million, eight hundred one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 313553 627106 940659 1254212 1567765 1881318 2508424 3135530 3762636 4703295 5016848 5957507 6271060 7525272 9406590 11915014 12542120 15050544 17872521 18813180 23830028 25084240 29787535 35745042 37626360 47660056 59575070 71490084 75252720 89362605 95320112 119150140 142980168 178725210 238300280 285960336 357450420 476600560 714900840 1429801680