Search a number
-
+
274311421234160 = 245238591135315287
BaseRepresentation
bin111110010111110000011010…
…110100100000101111110000
31022222020220201120221100220212
4332113300122310200233300
5241423304242313443120
62411224532140523252
7111531226510643162
oct7627603264405760
91288226646840825
10274311421234160
117a449903003632
1226923483b50528
13ba0a5c0b81c1b
144ba4a5a72c932
1521aa709c486c5
hexf97c1ad20bf0

274311421234160 has 160 divisors (see below), whose sum is σ = 666380378926080. Its totient is φ = 104815662741504.

The previous prime is 274311421234159. The next prime is 274311421234163. The reversal of 274311421234160 is 61432124113472.

It is a happy number.

It is a super-3 number, since 3×2743114212341603 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274311421234163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17944090037 + ... + 17944105323.

It is an arithmetic number, because the mean of its divisors is an integer number (4164877368288).

Almost surely, 2274311421234160 is an apocalyptic number.

274311421234160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274311421234160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333190189463040).

274311421234160 is an abundant number, since it is smaller than the sum of its proper divisors (392068957691920).

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

274311421234160 is a wasteful number, since it uses less digits than its factorization.

274311421234160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27535 (or 27529 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 274311421234160 in words is "two hundred seventy-four trillion, three hundred eleven billion, four hundred twenty-one million, two hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 859 920 1718 1840 3436 4295 6872 8590 11353 13744 15287 17180 19757 22706 30574 34360 39514 45412 56765 61148 68720 76435 79028 90824 98785 113530 122296 152870 158056 181648 197570 227060 244592 261119 305740 316112 351601 395140 454120 522238 611480 703202 790280 908240 1044476 1222960 1305595 1406404 1580560 1758005 2088952 2611190 2812808 3516010 4177904 5222380 5625616 7032020 9752227 10444760 13131533 14064040 19504454 20889520 26263066 28128080 39008908 48761135 52526132 65657665 78017816 97522270 105052264 131315330 156035632 173553311 195044540 210104528 224301221 262630660 302025259 347106622 390089080 448602442 525261320 604050518 694213244 780178160 867766555 897204884 1050522640 1121506105 1208101036 1388426488 1510126295 1735533110 1794409768 2243012210 2416202072 2776852976 3020252590 3471066220 3588819536 3991726153 4486024420 4832404144 6040505180 6942132440 7983452306 8972048840 12081010360 13884264880 15966904612 17944097680 19958630765 24162020720 31933809224 39917261530 63867618448 79834523060 149082294149 159669046120 298164588298 319338092240 596329176596 745411470745 1192658353192 1490822941490 2385316706384 2981645882980 3428892765427 5963291765960 6857785530854 11926583531920 13715571061708 17144463827135 27431142123416 34288927654270 54862284246832 68577855308540 137155710617080 274311421234160