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141424320 = 2635179823
BaseRepresentation
bin10000110110111…
…11011011000000
3100212010002200210
420123133123000
5242201034240
622011114120
73335041542
oct1033373300
9325102623
10141424320
1172915204
123b442940
13233b873b
1414ad5692
15c638780
hex86df6c0

141424320 has 112 divisors (see below), whose sum is σ = 452079360. Its totient is φ = 37456896.

The previous prime is 141424319. The next prime is 141424379. The reversal of 141424320 is 23424141.

141424320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1414243203 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171429 + ... + 172251.

Almost surely, 2141424320 is an apocalyptic number.

141424320 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 141424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226039680).

141424320 is an abundant number, since it is smaller than the sum of its proper divisors (310655040).

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

141424320 is a wasteful number, since it uses less digits than its factorization.

141424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 141424320 is about 11892.1957602455. The cubic root of 141424320 is about 521.0043704650.

Adding to 141424320 its reverse (23424141), we get a palindrome (164848461).

The spelling of 141424320 in words is "one hundred forty-one million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 179 192 240 320 358 480 537 716 823 895 960 1074 1432 1646 1790 2148 2469 2685 2864 3292 3580 4115 4296 4938 5370 5728 6584 7160 8230 8592 9876 10740 11456 12345 13168 14320 16460 17184 19752 21480 24690 26336 28640 32920 34368 39504 42960 49380 52672 57280 65840 79008 85920 98760 131680 147317 158016 171840 197520 263360 294634 395040 441951 589268 736585 790080 883902 1178536 1473170 1767804 2209755 2357072 2946340 3535608 4419510 4714144 5892680 7071216 8839020 9428288 11785360 14142432 17678040 23570720 28284864 35356080 47141440 70712160 141424320