Search a number
-
+
144233111200 = 2552434789209
BaseRepresentation
bin1000011001010011110…
…1101001111010100000
3111210021212001012122111
42012110331221322200
54330342134024300
6150132040045104
713264142134243
oct2062475517240
9453255035574
10144233111200
1156194916252
1223b53463794
13107a7891b19
146da390325a
153b426919ba
hex2194f69ea0

144233111200 has 144 divisors (see below), whose sum is σ = 367967698560. Its totient is φ = 55151953920.

The previous prime is 144233111179. The next prime is 144233111261. The reversal of 144233111200 is 2111332441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1572196 + ... + 1661404.

It is an arithmetic number, because the mean of its divisors is an integer number (2555331240).

Almost surely, 2144233111200 is an apocalyptic number.

144233111200 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 144233111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183983849280).

144233111200 is an abundant number, since it is smaller than the sum of its proper divisors (223734587360).

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

144233111200 is a wasteful number, since it uses less digits than its factorization.

144233111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89319 (or 89306 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 144233111200 its reverse (2111332441), we get a palindrome (146344443641).

The spelling of 144233111200 in words is "one hundred forty-four billion, two hundred thirty-three million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 47 50 80 86 94 100 160 172 188 200 215 235 344 376 400 430 470 688 752 800 860 940 1075 1175 1376 1504 1720 1880 2021 2150 2350 3440 3760 4042 4300 4700 6880 7520 8084 8600 9400 10105 16168 17200 18800 20210 32336 34400 37600 40420 50525 64672 80840 89209 101050 161680 178418 202100 323360 356836 404200 446045 713672 808400 892090 1427344 1616800 1784180 2230225 2854688 3568360 3835987 4192823 4460450 7136720 7671974 8385646 8920900 14273440 15343948 16771292 17841800 19179935 20964115 30687896 33542584 35683600 38359870 41928230 61375792 67085168 71367200 76719740 83856460 95899675 104820575 122751584 134170336 153439480 167712920 180291389 191799350 209641150 306878960 335425840 360582778 383598700 419282300 613757920 670851680 721165556 767197400 838564600 901456945 1442331112 1534394800 1677129200 1802913890 2884662224 3068789600 3354258400 3605827780 4507284725 5769324448 7211655560 9014569450 14423311120 18029138900 28846622240 36058277800 72116555600 144233111200