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4330114425 = 3252713792677
BaseRepresentation
bin1000000100001100…
…00100110101111001
3102011202212121022100
410002012010311321
532332002130200
61553401214013
7212206236210
oct40206046571
912152777270
104330114425
11192226706a
12a0a191309
135401345b0
142d1126077
151a5231d00
hex102184d79

4330114425 has 144 divisors (see below), whose sum is σ = 9669936640. Its totient is φ = 1803409920.

The previous prime is 4330114423. The next prime is 4330114429. The reversal of 4330114425 is 5244110334.

It is a happy number.

It is not a de Polignac number, because 4330114425 - 21 = 4330114423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4330114423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1616187 + ... + 1618863.

Almost surely, 24330114425 is an apocalyptic number.

4330114425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4330114425 is an abundant number, since it is smaller than the sum of its proper divisors (5339822215).

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

4330114425 is a wasteful number, since it uses less digits than its factorization.

4330114425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4330114425 is about 65803.6049544400. The cubic root of 4330114425 is about 1629.9206335953.

Adding to 4330114425 its reverse (5244110334), we get a palindrome (9574224759).

The spelling of 4330114425 in words is "four billion, three hundred thirty million, one hundred fourteen thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 79 91 105 117 175 195 225 237 273 315 325 395 455 525 553 585 711 819 975 1027 1185 1365 1575 1659 1975 2275 2677 2765 2925 3081 3555 4095 4977 5135 5925 6825 7189 8031 8295 9243 13385 13825 15405 17775 18739 20475 21567 24093 24885 25675 34801 35945 40155 41475 46215 56217 64701 66925 77025 93695 104403 107835 120465 124425 168651 174005 179725 200775 211483 231075 243607 281085 313209 323505 468475 522015 539175 602325 634449 730821 843255 870025 1057415 1218035 1405425 1480381 1566045 1617525 1903347 2192463 2610075 2749279 3172245 3654105 4216275 4441143 5287075 6090175 7401905 7830225 8247837 9516735 10962315 13323429 13746395 15861225 18270525 19244953 22205715 24743511 37009525 41239185 47583675 54811575 57734859 66617145 68731975 96224765 111028575 123717555 173204577 206195925 288674295 333085725 481123825 618587775 866022885 1443371475 4330114425