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40042296225 = 32521931467647
BaseRepresentation
bin100101010010101101…
…001111001110100001
310211100121122102000100
4211102231033032201
51124001311434400
630221205213013
72615166621261
oct452255171641
9124317572010
1040042296225
1115a889178a8
127916101169
133a11a71309
141d1c05b7a1
15109558e100
hex952b4f3a1

40042296225 has 144 divisors (see below), whose sum is σ = 78217850880. Its totient is φ = 19507132800.

The previous prime is 40042296199. The next prime is 40042296227. The reversal of 40042296225 is 52269224004.

It is a happy number.

40042296225 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 2 + 29 + 622 + 5 = 666.

40042296225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40042296225 - 228 = 39773860769 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40042296225.

It is not an unprimeable number, because it can be changed into a prime (40042296227) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61888852 + ... + 61889498.

It is an arithmetic number, because the mean of its divisors is an integer number (543179520).

Almost surely, 240042296225 is an apocalyptic number.

40042296225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40042296225 is a deficient number, since it is larger than the sum of its proper divisors (38175554655).

40042296225 is a wasteful number, since it uses less digits than its factorization.

40042296225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40042296225 in words is "forty billion, forty-two million, two hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 31 45 57 75 93 95 155 171 225 279 285 465 467 475 589 647 775 855 1395 1401 1425 1767 1941 2325 2335 2945 3235 4203 4275 5301 5823 6975 7005 8835 8873 9705 11675 12293 14477 14725 16175 20057 21015 26505 26619 29115 35025 36879 43431 44175 44365 48525 60171 61465 72385 79857 100285 105075 110637 130293 132525 133095 145575 180513 184395 217155 221825 275063 300855 302149 307325 361925 381083 399285 501425 553185 651465 665475 825189 902565 906447 921975 1085775 1143249 1375315 1504275 1510745 1905415 1996425 2475567 2719341 2765925 3257325 3429747 4125945 4512825 4532235 5716245 5740831 6876575 7553725 9366619 9527075 12377835 13596705 17148735 17222493 20629725 22661175 28099857 28581225 28704155 46833095 51667479 61889175 67983525 84299571 85743675 86112465 140499285 143520775 177965761 234165475 258337395 421497855 430562325 533897283 702496425 889828805 1291686975 1601691849 2107489275 2669486415 4449144025 8008459245 13347432075 40042296225