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3427040575920 = 2435131098410441
BaseRepresentation
bin110001110111101011100…
…010010100000110110000
3110010121210100110020011210
4301313223202110012300
5422122034341412140
611142205525040120
7502411155155313
oct61675342240660
913117710406153
103427040575920
111101444075a85
12474224b56040
131bb226387810
14bbc2646097a
155e22a039d80
hex31deb8941b0

3427040575920 has 80 divisors (see below), whose sum is σ = 11441043163872. Its totient is φ = 843579217920.

The previous prime is 3427040575901. The next prime is 3427040575957. The reversal of 3427040575920 is 295750407243.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3427040575920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549202101 + ... + 549208340.

Almost surely, 23427040575920 is an apocalyptic number.

3427040575920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3427040575920 is an abundant number, since it is smaller than the sum of its proper divisors (8014002587952).

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

3427040575920 is a wasteful number, since it uses less digits than its factorization.

3427040575920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098410470 (or 1098410464 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 3427040575920 in words is "three trillion, four hundred twenty-seven billion, forty million, five hundred seventy-five thousand, nine hundred twenty".

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 1098410441 2196820882 3295231323 4393641764 5492052205 6590462646 8787283528 10984104410 13180925292 14279335733 16476156615 17574567056 21968208820 26361850584 28558671466 32952313230 42838007199 43936417640 52723701168 57117342932 65904626460 71396678665 85676014398 87872835280 114234685864 131809252920 142793357330 171352028796 214190035995 228469371728 263618505840 285586714660 342704057592 428380071990 571173429320 685408115184 856760143980 1142346858640 1713520287960 3427040575920