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211341404144 = 2413732190667
BaseRepresentation
bin1100010011010011101…
…1011110011111110000
3202012111202010201011202
43010310323132133300
511430311344413034
6241031111430332
721161144203133
oct3046473363760
9665452121152
10211341404144
11816a1792a82
1234b619853a8
1316c10bb02c0
14a32c46221a
15576dea047e
hex3134ede7f0

211341404144 has 60 divisors (see below), whose sum is σ = 447097774536. Its totient is φ = 96205487616.

The previous prime is 211341404129. The next prime is 211341404201. The reversal of 211341404144 is 441404143112.

It is a happy number.

211341404144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1013099 + ... + 1203765.

Almost surely, 2211341404144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211341404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223548887268).

211341404144 is an abundant number, since it is smaller than the sum of its proper divisors (235756370392).

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

211341404144 is a wasteful number, since it uses less digits than its factorization.

211341404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190834 (or 190755 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 211341404144 its reverse (441404143112), we get a palindrome (652745547256).

The spelling of 211341404144 in words is "two hundred eleven billion, three hundred forty-one million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3796 5329 7592 10658 15184 21316 42632 69277 85264 138554 190667 277108 381334 554216 762668 1108432 1525336 2478671 3050672 4957342 9914684 13918691 19829368 27837382 39658736 55674764 111349528 180942983 222699056 361885966 723771932 1016064443 1447543864 2032128886 2895087728 4064257772 8128515544 13208837759 16257031088 26417675518 52835351036 105670702072 211341404144