Search a number
-
+
1444272120 = 233452319381
BaseRepresentation
bin101011000010101…
…1101011111111000
310201122122121220000
41112011131133320
510424213201440
6355151433000
750535052614
oct12605353770
93648577800
101444272120
11681288025
12343825760
131a02ac9b5
14d9b58344
1586bdc730
hex5615d7f8

1444272120 has 160 divisors (see below), whose sum is σ = 5065679520. Its totient is φ = 368375040.

The previous prime is 1444272107. The next prime is 1444272139. The reversal of 1444272120 is 212724441.

1444272120 is a `hidden beast` number, since 1 + 4 + 442 + 7 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64830 + ... + 84210.

It is an arithmetic number, because the mean of its divisors is an integer number (31660497).

Almost surely, 21444272120 is an apocalyptic number.

1444272120 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 1444272120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532839760).

1444272120 is an abundant number, since it is smaller than the sum of its proper divisors (3621407400).

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

1444272120 is a wasteful number, since it uses less digits than its factorization.

1444272120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19427 (or 19414 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 1444272120 is about 38003.5803576453. The cubic root of 1444272120 is about 1130.3588595789.

Adding to 1444272120 its reverse (212724441), we get a palindrome (1656996561).

The spelling of 1444272120 in words is "one billion, four hundred forty-four million, two hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 270 276 324 345 360 405 414 460 540 552 621 648 690 810 828 920 1035 1080 1242 1380 1620 1656 1863 2070 2484 2760 3105 3240 3726 4140 4968 6210 7452 8280 9315 12420 14904 18630 19381 24840 37260 38762 58143 74520 77524 96905 116286 155048 174429 193810 232572 290715 348858 387620 445763 465144 523287 581430 697716 775240 872145 891526 1046574 1162860 1337289 1395432 1569861 1744290 1783052 2093148 2228815 2325720 2616435 2674578 3139722 3488580 3566104 4011867 4186296 4457630 5232870 5349156 6279444 6686445 6977160 7849305 8023734 8915260 10465740 10698312 12035601 12558888 13372890 15698610 16047468 17830520 20059335 20931480 24071202 26745780 31397220 32094936 36106803 40118670 48142404 53491560 60178005 62794440 72213606 80237340 96284808 120356010 144427212 160474680 180534015 240712020 288854424 361068030 481424040 722136060 1444272120