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40221204210 = 23351133434051
BaseRepresentation
bin100101011101010111…
…101101111011110010
310211211002021212122000
4211131113231323302
51124333112013320
630251035554430
72622501411015
oct453527557362
9124732255560
1040221204210
111606a904040
127965bbba16
133a3cb52125
141d37b0d37c
1510a612dc90
hex95d5edef2

40221204210 has 128 divisors (see below), whose sum is σ = 117071032320. Its totient is φ = 9745272000.

The previous prime is 40221204187. The next prime is 40221204223. The reversal of 40221204210 is 1240212204.

40221204210 is a `hidden beast` number, since 4 + 0 + 221 + 20 + 421 + 0 = 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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9926685 + ... + 9930735.

It is an arithmetic number, because the mean of its divisors is an integer number (914617440).

Almost surely, 240221204210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221204210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58535516160).

40221204210 is an abundant number, since it is smaller than the sum of its proper divisors (76849828110).

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

40221204210 is a wasteful number, since it uses less digits than its factorization.

40221204210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40221204210 its reverse (1240212204), we get a palindrome (41461416414).

The spelling of 40221204210 in words is "forty billion, two hundred twenty-one million, two hundred four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 3343 4051 6686 8102 10029 12153 16715 20058 20255 24306 30087 33430 36459 36773 40510 44561 50145 60174 60765 72918 73546 89122 90261 100290 109377 110319 121530 133683 150435 180522 182295 183865 218754 220638 222805 267366 300870 330957 364590 367730 401049 445610 451305 546885 551595 661914 668415 802098 902610 992871 1093770 1103190 1203147 1336830 1654785 1985742 2005245 2406294 3309570 4010490 4964355 6015735 9928710 12031470 13542493 27084986 40627479 67712465 81254958 121882437 135424930 148967423 203137395 243764874 297934846 365647311 406274790 446902269 609412185 731294622 744837115 893804538 1218824370 1340706807 1489674230 1828236555 2234511345 2681413614 3656473110 4022120421 4469022690 6703534035 8044240842 13407068070 20110602105 40221204210