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40217653060 = 22513972237151
BaseRepresentation
bin100101011101001010…
…001010111101000100
310211210211121110100221
4211131022022331010
51124331204344220
630250431514124
72622426260554
oct453512127504
9124724543327
1040217653060
11160688a9002
127964988944
133a3c1aa960
141d37467164
1510a5b7b9aa
hex95d28af44

40217653060 has 96 divisors (see below), whose sum is σ = 92316413952. Its totient is φ = 14628556800.

The previous prime is 40217653037. The next prime is 40217653097. The reversal of 40217653060 is 6035671204.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5620485 + ... + 5627635.

It is an arithmetic number, because the mean of its divisors is an integer number (961629312).

Almost surely, 240217653060 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 40217653060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46158206976).

40217653060 is an abundant number, since it is smaller than the sum of its proper divisors (52098760892).

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

40217653060 is a wasteful number, since it uses less digits than its factorization.

40217653060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493 (or 7491 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 40217653060 in words is "forty billion, two hundred seventeen million, six hundred fifty-three thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 223 260 388 446 485 892 970 1115 1261 1940 2230 2522 2899 4460 5044 5798 6305 7151 11596 12610 14302 14495 21631 25220 28604 28990 35755 43262 57980 71510 86524 92963 108155 143020 185926 216310 281203 371852 432620 464815 562406 693647 929630 1124812 1387294 1406015 1594673 1859260 2774588 2812030 3189346 3468235 5624060 6378692 6936470 7973365 9017411 13872940 15946730 18034822 20730749 31893460 36069644 41461498 45087055 82922996 90174110 103653745 154683281 180348220 207307490 309366562 414614980 618733124 773416405 1546832810 2010882653 3093665620 4021765306 8043530612 10054413265 20108826530 40217653060