Search a number
-
+
271130614437040 = 2458342187967903
BaseRepresentation
bin111101101001011110000011…
…111101100001010010110000
31022112222211111200210010122021
4331221132003331201102300
5241014200444243441130
62400351403524121224
7111052353244162561
oct7551360375412260
91275884450703567
10271130614437040
11794329365420a6
12264aab1a236214
13b839679517b47
144ad4b12822168
152152ae208037a
hexf69783f614b0

271130614437040 has 80 divisors (see below), whose sum is σ = 637989384066048. Its totient is φ = 107142941737728.

The previous prime is 271130614437031. The next prime is 271130614437043. The reversal of 271130614437040 is 40734416031172.

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

It is a super-2 number, since 2×2711306144370402 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (271130614437043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279637729 + ... + 280605631.

Almost surely, 2271130614437040 is an apocalyptic number.

271130614437040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271130614437040 is an abundant number, since it is smaller than the sum of its proper divisors (366858769629008).

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

271130614437040 is a wasteful number, since it uses less digits than its factorization.

271130614437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010186 (or 1010180 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 271130614437040 in words is "two hundred seventy-one trillion, one hundred thirty billion, six hundred fourteen million, four hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 42187 84374 168748 210935 337496 421870 674992 843740 967903 1687480 1935806 3374960 3501521 3871612 4839515 7003042 7743224 9679030 14006084 15486448 17507605 19358060 28012168 35015210 38716120 56024336 70030420 77432240 80335949 140060840 160671898 280121680 321343796 401679745 642687592 803359490 1285375184 1606718980 3213437960 6426875920 40832923861 81665847722 163331695444 204164619305 326663390888 408329238610 653326781776 816658477220 1633316954440 3266633908880 3389132680463 6778265360926 13556530721852 16945663402315 27113061443704 33891326804630 54226122887408 67782653609260 135565307218520 271130614437040