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40221320412 = 223713199185089
BaseRepresentation
bin100101011101011000…
…001010010011011100
310211211002111210000210
4211131120022103130
51124333124223122
630251042252420
72622502403550
oct453530122334
9124732453023
1040221320412
111606a983379
127966057110
133a3cb92ca0
141d37b3d860
1510a615340c
hex95d60a4dc

40221320412 has 96 divisors (see below), whose sum is σ = 116088448000. Its totient is φ = 10554458112.

The previous prime is 40221320393. The next prime is 40221320413. The reversal of 40221320412 is 21402312204.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221320413) by changing a digit.

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, 124764 + ... + 309852.

Almost surely, 240221320412 is an apocalyptic number.

40221320412 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 40221320412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58044224000).

40221320412 is an abundant number, since it is smaller than the sum of its proper divisors (75867127588).

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

40221320412 is a wasteful number, since it uses less digits than its factorization.

40221320412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185315 (or 185313 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40221320412 its reverse (21402312204), we get a palindrome (61623632616).

The spelling of 40221320412 in words is "forty billion, two hundred twenty-one million, three hundred twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 199 273 364 398 546 597 796 1092 1194 1393 2388 2587 2786 4179 5174 5572 7761 8358 10348 15522 16716 18109 31044 36218 54327 72436 108654 185089 217308 370178 555267 740356 1110534 1295623 2221068 2406157 2591246 3886869 4812314 5182492 7218471 7773738 9624628 14436942 15547476 16843099 28873884 33686198 36832711 50529297 67372396 73665422 101058594 110498133 147330844 202117188 220996266 257828977 441992532 478825243 515657954 773486931 957650486 1031315908 1436475729 1546973862 1915300972 2872951458 3093947724 3351776701 5745902916 6703553402 10055330103 13407106804 20110660206 40221320412