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540430411332 = 2237217317170551
BaseRepresentation
bin1111101110101000010…
…10011010011001000100
31220122221112011102002110
413313110022122121010
532323300141130312
61052134215141020
754021240462600
oct7672412323104
91818845142073
10540430411332
11199216972989
12888a5074770
133bc6842bba6
141c22aa30500
15e0d02d943c
hex7dd429a644

540430411332 has 144 divisors (see below), whose sum is σ = 1558078478208. Its totient is φ = 144866534400.

The previous prime is 540430411309. The next prime is 540430411337. The reversal of 540430411332 is 233114034045.

It is a self number, because there is not a number n which added to its sum of digits gives 540430411332.

It is not an unprimeable number, because it can be changed into a prime (540430411337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3083457 + ... + 3254007.

It is an arithmetic number, because the mean of its divisors is an integer number (10819989432).

Almost surely, 2540430411332 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 540430411332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779039239104).

540430411332 is an abundant number, since it is smaller than the sum of its proper divisors (1017648066876).

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

540430411332 is a wasteful number, since it uses less digits than its factorization.

540430411332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170906 (or 170897 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 540430411332 its reverse (233114034045), we get a palindrome (773544445377).

The spelling of 540430411332 in words is "five hundred forty billion, four hundred thirty million, four hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 317 357 476 588 634 714 833 951 1268 1428 1666 1902 2219 2499 3332 3804 4438 4998 5389 6657 8876 9996 10778 13314 15533 16167 21556 26628 31066 32334 37723 46599 62132 64668 75446 93198 113169 150892 170551 186396 226338 264061 341102 452676 511653 528122 682204 792183 1023306 1056244 1193857 1584366 2046612 2387714 2899367 3168732 3581571 4775428 5798734 7163142 8356999 8698101 11597468 14326284 16713998 17396202 20295569 25070997 33427996 34792404 40591138 50141994 54064667 60886707 81182276 100283988 108129334 121773414 142068983 162194001 216258668 243546828 284137966 324388002 378452669 426206949 568275932 648776004 756905338 852413898 919099339 1135358007 1513810676 1704827796 1838198678 2270716014 2649168683 2757298017 3676397356 4541432028 5298337366 5514596034 6433695373 7947506049 10596674732 11029192068 12867390746 15895012098 19301086119 25734781492 31790024196 38602172238 45035867611 77204344476 90071735222 135107602833 180143470444 270215205666 540430411332