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419701929140 = 225134337540423
BaseRepresentation
bin1100001101110000010…
…11110011010010110100
31111010022202020001220002
412012320023303102310
523334022143213030
6520450340530432
742215414351444
oct6067013632264
91433282201802
10419701929140
11151aa388536a
12694113b0a18
1330768342290
1416456a58124
15adb63d7245
hex61b82f34b4

419701929140 has 48 divisors (see below), whose sum is σ = 971245849728. Its totient is φ = 151362981504.

The previous prime is 419701929131. The next prime is 419701929169. The reversal of 419701929140 is 41929107914.

It is a happy number.

It is a super-3 number, since 3×4197019291403 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 18759032 + ... + 18781391.

It is an arithmetic number, because the mean of its divisors is an integer number (20234288536).

Almost surely, 2419701929140 is an apocalyptic number.

It is an amenable number.

419701929140 is an abundant number, since it is smaller than the sum of its proper divisors (551543920588).

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

419701929140 is a wasteful number, since it uses less digits than its factorization.

419701929140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37540488 (or 37540486 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 47.

The spelling of 419701929140 in words is "four hundred nineteen billion, seven hundred one million, nine hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 5590 11180 37540423 75080846 150161692 187702115 375404230 488025499 750808460 976050998 1614238189 1952101996 2440127495 3228476378 4880254990 6456952756 8071190945 9760509980 16142381890 20985096457 32284763780 41970192914 83940385828 104925482285 209850964570 419701929140