Search a number
-
+
540041430460 = 22577879375231
BaseRepresentation
bin1111101101111001111…
…10100100010110111100
31220121221102020010122111
413312330332210112330
532322001101233320
61052031442023404
754005505263560
oct7667476442674
91817842203574
10540041430460
11199037343894
12887b6947b64
133bc05977cac
141c1d10d76a0
15e0ab0a0a5a
hex7dbcfa45bc

540041430460 has 96 divisors (see below), whose sum is σ = 1299379673088. Its totient is φ = 184689123840.

The previous prime is 540041430413. The next prime is 540041430479. The reversal of 540041430460 is 64034140045.

It is a super-2 number, since 2×5400414304602 (a number of 24 digits) contains 22 as substring.

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, 103236045 + ... + 103241275.

It is an arithmetic number, because the mean of its divisors is an integer number (13535204928).

Almost surely, 2540041430460 is an apocalyptic number.

It is an amenable number.

540041430460 is an abundant number, since it is smaller than the sum of its proper divisors (759338242628).

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

540041430460 is a wasteful number, since it uses less digits than its factorization.

540041430460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 540041430460 in words is "five hundred forty billion, forty-one million, four hundred thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 787 937 1574 1874 3148 3748 3935 4685 5231 5509 6559 7870 9370 10462 11018 13118 15740 18740 20924 22036 26155 26236 27545 32795 36617 52310 55090 65590 73234 104620 110180 131180 146468 183085 366170 732340 737419 1474838 2949676 3687095 4116797 4901447 5161933 7374190 8233594 9802894 10323866 14748380 16467188 19605788 20583985 20647732 24507235 25809665 28817579 34310129 41167970 49014470 51619330 57635158 68620258 82335940 98028940 103238660 115270316 137240516 144087895 171550645 288175790 343101290 576351580 686202580 3857438789 7714877578 15429755156 19287193945 27002071523 38574387890 54004143046 77148775780 108008286092 135010357615 270020715230 540041430460