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2741135426040 = 2335113616157427
BaseRepresentation
bin100111111000111000011…
…001110100000111111000
3100201001100102220101220210
4213320320121310013320
5324402321132113130
65455132113151120
7402016614453264
oct47707031640770
910631312811823
102741135426040
11967566539950
1238330085b4a0
1316b64608919b
14969590830a4
154b48359e5b0
hex27e386741f8

2741135426040 has 128 divisors (see below), whose sum is σ = 8971392971520. Its totient is φ = 664487731200.

The previous prime is 2741135426023. The next prime is 2741135426063. The reversal of 2741135426040 is 406245311472.

It is a self number, because there is not a number n which added to its sum of digits gives 2741135426040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47703807 + ... + 47761233.

It is an arithmetic number, because the mean of its divisors is an integer number (70089007590).

Almost surely, 22741135426040 is an apocalyptic number.

2741135426040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2741135426040 is an abundant number, since it is smaller than the sum of its proper divisors (6230257545480).

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

2741135426040 is a wasteful number, since it uses less digits than its factorization.

2741135426040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93613 (or 93609 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 2741135426040 in words is "two trillion, seven hundred forty-one billion, one hundred thirty-five million, four hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 36161 57427 72322 108483 114854 144644 172281 180805 216966 229708 287135 289288 344562 361610 397771 433932 459416 542415 574270 631697 689124 723220 795542 861405 867864 1084830 1148540 1193313 1263394 1378248 1446440 1591084 1722810 1895091 1988855 2169660 2297080 2386626 2526788 3158485 3182168 3445620 3790182 3977710 4339320 4773252 5053576 5966565 6316970 6891240 7580364 7955420 9475455 9546504 11933130 12633940 15160728 15910840 18950910 23866260 25267880 37901820 47732520 75803640 2076617747 4153235494 6229853241 8306470988 10383088735 12459706482 16612941976 20766177470 22842795217 24919412964 31149266205 41532354940 45685590434 49838825928 62298532410 68528385651 83064709880 91371180868 114213976085 124597064820 137056771302 182742361736 228427952170 249194129640 274113542604 342641928255 456855904340 548227085208 685283856510 913711808680 1370567713020 2741135426040