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144123214300 = 225213155371387
BaseRepresentation
bin1000011000111001101…
…0011011100111011100
3111210000012020212102221
42012032122123213130
54330131020324200
6150113112355124
713261336052152
oct2061632334734
9453005225387
10144123214300
115613888506a
1223b226a5aa4
131078ab94680
146d930973d2
153b37bd491a
hex218e69b9dc

144123214300 has 72 divisors (see below), whose sum is σ = 337026460176. Its totient is φ = 53179714560.

The previous prime is 144123214283. The next prime is 144123214303. The reversal of 144123214300 is 3412321441.

144123214300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144123214303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1983207 + ... + 2054593.

It is an arithmetic number, because the mean of its divisors is an integer number (4680923058).

Almost surely, 2144123214300 is an apocalyptic number.

144123214300 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 144123214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168513230088).

144123214300 is an abundant number, since it is smaller than the sum of its proper divisors (192903245876).

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

144123214300 is a wasteful number, since it uses less digits than its factorization.

144123214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72967 (or 72960 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 144123214300 its reverse (3412321441), we get a palindrome (147535535741).

The spelling of 144123214300 in words is "one hundred forty-four billion, one hundred twenty-three million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1553 3106 6212 7765 15530 20189 31060 38825 40378 71387 77650 80756 100945 142774 155300 201890 285548 356935 403780 504725 713870 928031 1009450 1427740 1784675 1856062 2018900 3569350 3712124 4640155 7138700 9280310 18560620 23200775 46401550 92803100 110864011 221728022 443456044 554320055 1108640110 1441232143 2217280220 2771600275 2882464286 5543200550 5764928572 7206160715 11086401100 14412321430 28824642860 36030803575 72061607150 144123214300