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211422444424140 = 223516698721101687
BaseRepresentation
bin110000000100100110011111…
…101100101000101111001100
31000201120210021122222222122210
4300010212133230220233030
5210202421131233033030
62025354044035110420
762350524160045065
oct6004463754505714
91021523248888583
10211422444424140
1161402834118714
121b867104a42410
1390c8087c69cc1
143a2cc8814956c
1519698b27abbb0
hexc0499fb28bcc

211422444424140 has 48 divisors (see below), whose sum is σ = 591986417524992. Its totient is φ = 56378978214336.

The previous prime is 211422444424111. The next prime is 211422444424157. The reversal of 211422444424140 is 41424444224112.

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 15 ways as a sum of consecutive naturals, for example, 531624 + ... + 20570063.

It is an arithmetic number, because the mean of its divisors is an integer number (12333050365104).

Almost surely, 2211422444424140 is an apocalyptic number.

211422444424140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211422444424140 is an abundant number, since it is smaller than the sum of its proper divisors (380563973100852).

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

211422444424140 is a wasteful number, since it uses less digits than its factorization.

211422444424140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21268686 (or 21268684 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 39.

Adding to 211422444424140 its reverse (41424444224112), we get a palindrome (252846888648252).

The spelling of 211422444424140 in words is "two hundred eleven trillion, four hundred twenty-two billion, four hundred forty-four million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 166987 333974 500961 667948 834935 1001922 1669870 2003844 2504805 3339740 5009610 10019220 21101687 42203374 63305061 84406748 105508435 126610122 211016870 253220244 316525305 422033740 633050610 1266101220 3523707407069 7047414814138 10571122221207 14094829628276 17618537035345 21142244442414 35237074070690 42284488884828 52855611106035 70474148141380 105711222212070 211422444424140