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4211040312 = 23355573889
BaseRepresentation
bin1111101011111111…
…0110000000111000
3101212110211000100000
43322333312000320
532111011242222
61533505113000
7206232152313
oct37277660070
911773730300
104211040312
111871027a06
12996328760
13521572c3b
142bd3ab97a
15199a609ac
hexfaff6038

4211040312 has 96 divisors (see below), whose sum is σ = 11851585200. Its totient is φ = 1400799744.

The previous prime is 4211040293. The next prime is 4211040329. The reversal of 4211040312 is 2130401124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080864 + ... + 1084752.

Almost surely, 24211040312 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 4211040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925792600).

4211040312 is an abundant number, since it is smaller than the sum of its proper divisors (7640544888).

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

4211040312 is a wasteful number, since it uses less digits than its factorization.

4211040312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4211040312 is about 64892.5289382376. The cubic root of 4211040312 is about 1614.8411198807.

Adding to 4211040312 its reverse (2130401124), we get a palindrome (6341441436).

The spelling of 4211040312 in words is "four billion, two hundred eleven million, forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 557 648 972 1114 1671 1944 2228 3342 3889 4456 5013 6684 7778 10026 11667 13368 15039 15556 20052 23334 30078 31112 35001 40104 45117 46668 60156 70002 90234 93336 105003 120312 135351 140004 180468 210006 270702 280008 315009 360936 420012 541404 630018 840024 945027 1082808 1260036 1890054 2166173 2520072 3780108 4332346 6498519 7560216 8664692 12997038 17329384 19495557 25994076 38991114 51988152 58486671 77982228 116973342 155964456 175460013 233946684 350920026 467893368 526380039 701840052 1052760078 1403680104 2105520156 4211040312