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540381126480 = 243513199115741
BaseRepresentation
bin1111101110100010011…
…10011001111101010000
31220122211002102110222120
413313101032121331100
532323200032021410
61052125254534240
754020101534146
oct7672116317520
91818732373876
10540381126480
111991a10704a8
1288890667380
133bc5b164160
141c224281596
15e0cad01570
hex7dd1399f50

540381126480 has 160 divisors (see below), whose sum is σ = 1898991373440. Its totient is φ = 126015989760.

The previous prime is 540381126457. The next prime is 540381126517. The reversal of 540381126480 is 84621183045.

It is a happy number.

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, 4498591 + ... + 4617150.

It is an arithmetic number, because the mean of its divisors is an integer number (11868696084).

Almost surely, 2540381126480 is an apocalyptic number.

It is an amenable number.

540381126480 is an abundant number, since it is smaller than the sum of its proper divisors (1358610246960).

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

540381126480 is a wasteful number, since it uses less digits than its factorization.

540381126480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9115789 (or 9115783 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 540381126480 in words is "five hundred forty billion, three hundred eighty-one million, one hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5928 7410 9880 11856 14820 19760 29640 59280 9115741 18231482 27347223 36462964 45578705 54694446 72925928 91157410 109388892 118504633 136736115 145851856 173199079 182314820 218777784 237009266 273472230 346398158 355513899 364629640 437555568 474018532 519597237 546944460 592523165 692796316 711027798 729259280 865995395 948037064 1039194474 1093888920 1185046330 1385592632 1422055596 1731990790 1777569495 1896074128 2078388948 2187777840 2251588027 2370092660 2597986185 2771185264 2844111192 3463981580 3555138990 4156777896 4503176054 4740185320 5195972370 5688222384 6754764081 6927963160 7110277980 8313555792 9006352108 9480370640 10391944740 11257940135 13509528162 13855926320 14220555960 18012704216 20783889480 22515880270 27019056324 28441111920 33773820405 36025408432 41567778960 45031760540 54038112648 67547640810 90063521080 108076225296 135095281620 180127042160 270190563240 540381126480