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141144100 = 225223109563
BaseRepresentation
bin10000110100110…
…11000000100100
3100211120212022021
420122123000210
5242113102400
622001112524
73332463556
oct1032330044
9324525267
10141144100
1172743719
123b328744
132331b026
1414a614d6
15c5d071a
hex869b024

141144100 has 72 divisors (see below), whose sum is σ = 323104320. Its totient is φ = 53412480.

The previous prime is 141144097. The next prime is 141144109. The reversal of 141144100 is 1441141.

It is not an unprimeable number, because it can be changed into a prime (141144109) 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, 250419 + ... + 250981.

It is an arithmetic number, because the mean of its divisors is an integer number (4487560).

Almost surely, 2141144100 is an apocalyptic number.

141144100 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 141144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161552160).

141144100 is an abundant number, since it is smaller than the sum of its proper divisors (181960220).

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

141144100 is a wasteful number, since it uses less digits than its factorization.

141144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 141144100 is about 11880.4082421439. The cubic root of 141144100 is about 520.6600346463.

Adding to 141144100 its reverse (1441141), we get a palindrome (142585241).

The spelling of 141144100 in words is "one hundred forty-one million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 109 115 218 230 436 460 545 563 575 1090 1126 1150 2180 2252 2300 2507 2725 2815 5014 5450 5630 10028 10900 11260 12535 12949 14075 25070 25898 28150 50140 51796 56300 61367 62675 64745 122734 125350 129490 245468 250700 258980 306835 323725 613670 647450 1227340 1294900 1411441 1534175 2822882 3068350 5645764 6136700 7057205 14114410 28228820 35286025 70572050 141144100