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4314012032 = 27112594721
BaseRepresentation
bin1000000010010001…
…01001100110000000
3102010122120111222102
410001020221212000
532313341341112
61552024125532
7211622332361
oct40110514600
912118514872
104314012032
111914169100
12a049068a8
135399b7255
142ccd33b68
151a3b00bc2
hex101229980

4314012032 has 96 divisors (see below), whose sum is σ = 9608797800. Its totient is φ = 1927270400.

The previous prime is 4314012019. The next prime is 4314012041. The reversal of 4314012032 is 2302104134.

It is a super-2 number, since 2×43140120322 = 37221399624481538048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314011995 and 4314012013.

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, 911432 + ... + 916152.

Almost surely, 24314012032 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 4314012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804398900).

4314012032 is an abundant number, since it is smaller than the sum of its proper divisors (5294785768).

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

4314012032 is a wasteful number, since it uses less digits than its factorization.

4314012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4314012032 is about 65681.1390887826. The cubic root of 4314012032 is about 1627.8977291489.

Adding to 4314012032 its reverse (2302104134), we get a palindrome (6616116166).

The spelling of 4314012032 in words is "four billion, three hundred fourteen million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 121 128 176 236 242 352 472 484 649 704 944 968 1298 1408 1888 1936 2596 3776 3872 4721 5192 7139 7552 7744 9442 10384 14278 15488 18884 20768 28556 37768 41536 51931 57112 75536 83072 103862 114224 151072 207724 228448 278539 302144 415448 456896 557078 571241 604288 830896 913792 1114156 1142482 1661792 2228312 2284964 3063929 3323584 4456624 4569928 6127858 6647168 8913248 9139856 12255716 17826496 18279712 24511432 33703219 35652992 36559424 49022864 67406438 73118848 98045728 134812876 196091456 269625752 392182912 539251504 1078503008 2157006016 4314012032