Search a number
-
+
14532201300 = 223521915671627
BaseRepresentation
bin11011000100010111…
…11100101101010100
31101111202220022111210
431202023330231110
5214230220420200
610402003301420
71023056446551
oct154213745524
941452808453
1014532201300
116188059a21
12299697a870
1314a7959ba6
149bc051a28
155a0c0c650
hex3622fcb54

14532201300 has 144 divisors (see below), whose sum is σ = 44314941440. Its totient is φ = 3666695040.

The previous prime is 14532201287. The next prime is 14532201301. The reversal of 14532201300 is 310223541.

It is a super-2 number, since 2×145322013002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14532201301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8931087 + ... + 8932713.

Almost surely, 214532201300 is an apocalyptic number.

14532201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14532201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22157470720).

14532201300 is an abundant number, since it is smaller than the sum of its proper divisors (29782740140).

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

14532201300 is a wasteful number, since it uses less digits than its factorization.

14532201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 14532201300 its reverse (310223541), we get a palindrome (14842424841).

The spelling of 14532201300 in words is "fourteen billion, five hundred thirty-two million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1567 1627 1900 2850 3134 3254 4701 4881 5700 6268 6508 7835 8135 9402 9762 15670 16270 18804 19524 23505 24405 29773 30913 31340 32540 39175 40675 47010 48810 59546 61826 78350 81350 89319 92739 94020 97620 117525 119092 122025 123652 148865 154565 156700 162700 178638 185478 235050 244050 297730 309130 357276 370956 446595 463695 470100 488100 595460 618260 744325 772825 893190 927390 1488650 1545650 1786380 1854780 2232975 2318475 2549509 2977300 3091300 4465950 4636950 5099018 7648527 8931900 9273900 10198036 12747545 15297054 25495090 30594108 38242635 48440671 50990180 63737725 76485270 96881342 127475450 145322013 152970540 191213175 193762684 242203355 254950900 290644026 382426350 484406710 581288052 726610065 764852700 968813420 1211016775 1453220130 2422033550 2906440260 3633050325 4844067100 7266100650 14532201300