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540032433240 = 233517318783063
BaseRepresentation
bin1111101101111000111…
…00001111110001011000
31220121220210022000210010
413312330130033301120
532321441300330430
61052030521121520
754005335641606
oct7667434176130
91817823260703
10540032433240
11199032259073
12887b39292a0
133bc03b479b1
141c1cdc34876
15e0aa3c4cb0
hex7dbc70fc58

540032433240 has 128 divisors (see below), whose sum is σ = 1715956047360. Its totient is φ = 135493392384.

The previous prime is 540032433233. The next prime is 540032433277. The reversal of 540032433240 is 42334230045.

It is a super-2 number, since 2×5400324332402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 540032433198 and 540032433207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6459949 + ... + 6543011.

It is an arithmetic number, because the mean of its divisors is an integer number (13405906620).

Almost surely, 2540032433240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540032433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857978023680).

540032433240 is an abundant number, since it is smaller than the sum of its proper divisors (1175923614120).

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

540032433240 is a wasteful number, since it uses less digits than its factorization.

540032433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86281 (or 86277 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 540032433240 its reverse (42334230045), we get a palindrome (582366663285).

The spelling of 540032433240 in words is "five hundred forty billion, thirty-two million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 3187 6374 9561 12748 15935 19122 25496 31870 38244 47805 54179 63740 76488 83063 95610 108358 127480 162537 166126 191220 216716 249189 270895 325074 332252 382440 415315 433432 498378 541790 650148 664504 812685 830630 996756 1083580 1245945 1300296 1412071 1625370 1661260 1993512 2167160 2491890 2824142 3250740 3322520 4236213 4983780 5648284 6501480 7060355 8472426 9967560 11296568 14120710 16944852 21181065 28241420 33889704 42362130 56482840 84724260 169448520 264721781 529443562 794165343 1058887124 1323608905 1588330686 2117774248 2647217810 3176661372 3970826715 4500270277 5294435620 6353322744 7941653430 9000540554 10588871240 13500810831 15883306860 18001081108 22501351385 27001621662 31766613720 36002162216 45002702770 54003243324 67504054155 90005405540 108006486648 135008108310 180010811080 270016216620 540032433240