Search a number
-
+
4121351604 = 2234472411123
BaseRepresentation
bin1111010110100110…
…1101010110110100
3101122020001100120000
43311221231112310
531420031222404
61520542511300
7204062624226
oct36551552664
911566040500
104121351604
111825439507
12970295530
13508acc8b6
142b1502416
15191c46339
hexf5a6d5b4

4121351604 has 120 divisors (see below), whose sum is σ = 11058757248. Its totient is φ = 1337783040.

The previous prime is 4121351573. The next prime is 4121351609. The reversal of 4121351604 is 4061531214.

It is a happy number.

4121351604 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 3 + 51 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121351609) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3669387 + ... + 3670509.

Almost surely, 24121351604 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 4121351604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529378624).

4121351604 is an abundant number, since it is smaller than the sum of its proper divisors (6937405644).

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

4121351604 is a wasteful number, since it uses less digits than its factorization.

4121351604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4121351604 is about 64197.7538859421. The cubic root of 4121351604 is about 1603.2942030907.

Adding to 4121351604 its reverse (4061531214), we get a palindrome (8182882818).

The spelling of 4121351604 in words is "four billion, one hundred twenty-one million, three hundred fifty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 241 282 324 423 482 564 723 846 964 1123 1269 1446 1692 2169 2246 2538 2892 3369 3807 4338 4492 5076 6507 6738 7614 8676 10107 11327 13014 13476 15228 19521 20214 22654 26028 30321 33981 39042 40428 45308 52781 60642 67962 78084 90963 101943 105562 121284 135924 158343 181926 203886 211124 270643 305829 316686 363852 407772 475029 541286 611658 633372 811929 917487 950058 1082572 1223316 1425087 1623858 1834974 1900116 2435787 2850174 3247716 3669948 4275261 4871574 5700348 7307361 8550522 9743148 12720221 14614722 17101044 21922083 25440442 29229444 38160663 43844166 50880884 76321326 87688332 114481989 152642652 228963978 343445967 457927956 686891934 1030337901 1373783868 2060675802 4121351604