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144210100 = 22524761503
BaseRepresentation
bin10001001100001…
…11100010110100
3101001100122001211
420212013202310
5243404210400
622150531204
73400523416
oct1046074264
9331318054
10144210100
1174448201
1240366b04
1323b52728
141521c9b6
15c9d8dba
hex89878b4

144210100 has 72 divisors (see below), whose sum is σ = 325479168. Its totient is φ = 55420800.

The previous prime is 144210091. The next prime is 144210103. The reversal of 144210100 is 1012441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144210103) 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, 286449 + ... + 286951.

It is an arithmetic number, because the mean of its divisors is an integer number (4520544).

Almost surely, 2144210100 is an apocalyptic number.

144210100 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 144210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162739584).

144210100 is an abundant number, since it is smaller than the sum of its proper divisors (181269068).

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

144210100 is a wasteful number, since it uses less digits than its factorization.

144210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 144210100 is about 12008.7509758509. The cubic root of 144210100 is about 524.4030705987.

Adding to 144210100 its reverse (1012441), we get a palindrome (145222541).

The spelling of 144210100 in words is "one hundred forty-four million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 61 94 100 122 188 235 244 305 470 503 610 940 1006 1175 1220 1525 2012 2350 2515 2867 3050 4700 5030 5734 6100 10060 11468 12575 14335 23641 25150 28670 30683 47282 50300 57340 61366 71675 94564 118205 122732 143350 153415 236410 286700 306830 472820 591025 613660 767075 1182050 1442101 1534150 2364100 2884202 3068300 5768404 7210505 14421010 28842020 36052525 72105050 144210100