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40221062532 = 223271925313319
BaseRepresentation
bin100101011101010111…
…001011010110000100
310211211002000200021200
4211131113023112010
51124333043000112
630251032542500
72622500250660
oct453527132604
9124732020250
1040221062532
111606a817652
127965b51a30
133a3cb027b1
141d37ab38a0
1510a6101cdc
hex95d5cb584

40221062532 has 144 divisors (see below), whose sum is σ = 122394854400. Its totient is φ = 10879323840.

The previous prime is 40221062509. The next prime is 40221062537. The reversal of 40221062532 is 23526012204.

It is a happy number.

40221062532 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 1 + 0 + 625 + 32 = 666.

40221062532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40221062496 and 40221062505.

It is not an unprimeable number, because it can be changed into a prime (40221062537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12116769 + ... + 12120087.

Almost surely, 240221062532 is an apocalyptic number.

40221062532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221062532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61197427200).

40221062532 is an abundant number, since it is smaller than the sum of its proper divisors (82173791868).

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

40221062532 is a wasteful number, since it uses less digits than its factorization.

40221062532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 40221062532 its reverse (23526012204), we get a palindrome (63747074736).

The spelling of 40221062532 in words is "forty billion, two hundred twenty-one million, sixty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 2531 3319 4788 5062 6638 7593 9957 10124 13276 15186 17717 19914 22779 23233 29871 30372 35434 39828 45558 46466 48089 53151 59742 63061 69699 70868 91116 92932 96178 106302 119484 126122 139398 144267 159453 189183 192356 209097 212604 252244 278796 288534 318906 336623 378366 418194 432801 441427 567549 577068 637812 673246 756732 836388 865602 882854 1009869 1135098 1324281 1346492 1731204 1765708 2019738 2270196 2648562 3029607 3972843 4039476 5297124 6059214 7945686 8400389 12118428 15891372 16800778 25201167 33601556 50402334 58802723 75603501 100804668 117605446 151207002 159607391 176408169 235210892 302414004 319214782 352816338 478822173 529224507 638429564 705632676 957644346 1058449014 1117251737 1436466519 1915288692 2116898028 2234503474 2872933038 3351755211 4469006948 5745866076 6703510422 10055265633 13407020844 20110531266 40221062532