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40216464112 = 2411271292577
BaseRepresentation
bin100101011101000101…
…101000101011110000
310211210202101001102211
4211131011220223300
51124330403322422
630250350221504
72622413206336
oct453505505360
9124722331384
1040216464112
1116068166800
1279644b4894
133a3bb82736
141d37237b56
1510a59e4577
hex95d168af0

40216464112 has 60 divisors (see below), whose sum is σ = 86853534768. Its totient is φ = 18022681600.

The previous prime is 40216464089. The next prime is 40216464149. The reversal of 40216464112 is 21146461204.

It is a super-4 number, since 4×402164641124 (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8833 + ... + 283744.

Almost surely, 240216464112 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 40216464112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43426767384).

40216464112 is an abundant number, since it is smaller than the sum of its proper divisors (46637070656).

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

40216464112 is a wasteful number, since it uses less digits than its factorization.

40216464112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292678 (or 292661 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 40216464112 in words is "forty billion, two hundred sixteen million, four hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 71 88 121 142 176 242 284 484 568 781 968 1136 1562 1936 3124 6248 8591 12496 17182 34364 68728 137456 292577 585154 1170308 2340616 3218347 4681232 6436694 12873388 20772967 25746776 35401817 41545934 51493552 70803634 83091868 141607268 166183736 228502637 283214536 332367472 457005274 566429072 914010548 1828021096 2513529007 3656042192 5027058014 10054116028 20108232056 40216464112