Search a number
-
+
141443442140 = 2257211131009301
BaseRepresentation
bin1000001110111010101…
…1111010010111011100
3111112002102210100010012
42003232223322113130
54304134010122030
6144551143502352
713135046264300
oct2035653722734
9445072710105
10141443442140
1154a93154630
12234b51579b8
1310451940c80
146bbb20bd00
153a2c7e8095
hex20eeafa5dc

141443442140 has 144 divisors (see below), whose sum is σ = 405933189984. Its totient is φ = 40694976000.

The previous prime is 141443442113. The next prime is 141443442169. The reversal of 141443442140 is 41244344141.

It is a junction number, because it is equal to n+sod(n) for n = 141443442097 and 141443442106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364511 + ... + 644790.

It is an arithmetic number, because the mean of its divisors is an integer number (2818980486).

Almost surely, 2141443442140 is an apocalyptic number.

141443442140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141443442140 is an abundant number, since it is smaller than the sum of its proper divisors (264489747844).

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

141443442140 is a wasteful number, since it uses less digits than its factorization.

141443442140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009348 (or 1009339 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 141443442140 its reverse (41244344141), we get a palindrome (182687786281).

The spelling of 141443442140 in words is "one hundred forty-one billion, four hundred forty-three million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 1009301 2018602 4037204 5046505 7065107 10093010 11102311 13120913 14130214 20186020 22204622 26241826 28260428 35325535 44409244 49455749 52483652 55511555 65604565 70651070 77716177 91846391 98911498 111023110 131209130 141302140 144330043 155432354 183692782 197822996 222046220 247278745 262418260 288660086 310864708 367385564 388580885 459231955 494557490 544013239 577320172 642924737 721650215 777161770 918463910 989114980 1010310301 1088026478 1285849474 1443300430 1554323540 1836927820 2020620602 2176052956 2571698948 2720066195 2886600860 3214623685 4041241204 5051551505 5440132390 6429247370 7072172107 10103103010 10880264780 12858494740 14144344214 20206206020 28288688428 35360860535 70721721070 141443442140