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54032340240 = 24325372028241
BaseRepresentation
bin110010010100100101…
…000001010100010000
312011110121101021112200
4302110211001110100
51341124234341430
640453324323200
73621654212514
oct622445012420
9164417337480
1054032340240
1120a07935a4a
12a57b3a3500
1351312a5678
1428880a2144
1516138a7460
hexc94941510

54032340240 has 120 divisors (see below), whose sum is σ = 186362987928. Its totient is φ = 14019194880.

The previous prime is 54032340211. The next prime is 54032340247. The reversal of 54032340240 is 4204323045.

54032340240 is a `hidden beast` number, since 5 + 403 + 234 + 0 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16538988816 + 37493351424 = 128604^2 + 193632^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×540323402402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54032340247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987481 + ... + 1040760.

Almost surely, 254032340240 is an apocalyptic number.

It is an amenable number.

54032340240 is an abundant number, since it is smaller than the sum of its proper divisors (132330647688).

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

54032340240 is a wasteful number, since it uses less digits than its factorization.

54032340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028297 (or 2028288 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 54032340240 its reverse (4204323045), we get a palindrome (58236663285).

The spelling of 54032340240 in words is "fifty-four billion, thirty-two million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 2028241 4056482 6084723 8112964 10141205 12169446 16225928 18254169 20282410 24338892 30423615 32451856 36508338 40564820 48677784 60847230 73016676 75044917 81129640 91270845 97355568 121694460 146033352 150089834 162259280 182541690 225134751 243388920 292066704 300179668 365083380 375224585 450269502 486777840 600359336 675404253 730166760 750449170 900539004 1125673755 1200718672 1350808506 1460333520 1500898340 1801078008 2251347510 2701617012 3001796680 3377021265 3602156016 4502695020 5403234024 6003593360 6754042530 9005390040 10806468048 13508085060 18010780080 27016170120 54032340240