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40212221130 = 23255910337331
BaseRepresentation
bin100101011100110101…
…011100110011001010
310211210110101111011100
4211130311130303022
51124323312034010
630250115242230
72622332145204
oct453465346312
9124713344140
1040212221130
1116065828a04
127962ba9376
133a3b0283b3
141d36851774
1510a54572c0
hex95cd5ccca

40212221130 has 96 divisors (see below), whose sum is σ = 106441283520. Its totient is φ = 10529867520.

The previous prime is 40212221123. The next prime is 40212221149. The reversal of 40212221130 is 3112221204.

It is a happy number.

40212221130 is a `hidden beast` number, since 402 + 1 + 22 + 211 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 5481565 + ... + 5488895.

It is an arithmetic number, because the mean of its divisors is an integer number (1108763370).

Almost surely, 240212221130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40212221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53220641760).

40212221130 is an abundant number, since it is smaller than the sum of its proper divisors (66229062390).

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

40212221130 is a wasteful number, since it uses less digits than its factorization.

40212221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40212221130 its reverse (3112221204), we get a palindrome (43324442334).

The spelling of 40212221130 in words is "forty billion, two hundred twelve million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1033 1062 1770 2066 2655 3099 5165 5310 6198 7331 9297 10330 14662 15495 18594 21993 30990 36655 43986 46485 60947 65979 73310 92970 109965 121894 131958 182841 219930 304735 329895 365682 432529 548523 609470 659790 865058 914205 1097046 1297587 1828410 2162645 2595174 2742615 3892761 4325290 5485230 6487935 7572923 7785522 12975870 15145846 19463805 22718769 37864615 38927610 45437538 68156307 75729230 113593845 136312614 227187690 340781535 446802457 681563070 893604914 1340407371 2234012285 2680814742 4021222113 4468024570 6702036855 8042444226 13404073710 20106110565 40212221130