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141533413340 = 225114721791627
BaseRepresentation
bin1000001111010000001…
…1000111111111011100
3111112022201002100101212
42003310003013333130
54304330023211330
6145004120123552
713140221110064
oct2036403077734
9445281070355
10141533413340
1155029a162a0
122351b3065b8
1310467482a77
146bc914c3a4
153a3566b295
hex20f40c7fdc

141533413340 has 144 divisors (see below), whose sum is σ = 333341205120. Its totient is φ = 50059466880.

The previous prime is 141533413339. The next prime is 141533413369. The reversal of 141533413340 is 43314335141.

It is a junction number, because it is equal to n+sod(n) for n = 141533413297 and 141533413306.

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, 86989607 + ... + 86991233.

It is an arithmetic number, because the mean of its divisors is an integer number (2314869480).

Almost surely, 2141533413340 is an apocalyptic number.

141533413340 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 141533413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166670602560).

141533413340 is an abundant number, since it is smaller than the sum of its proper divisors (191807791780).

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

141533413340 is a wasteful number, since it uses less digits than its factorization.

141533413340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 141533413340 its reverse (43314335141), we get a palindrome (184847748481).

The spelling of 141533413340 in words is "one hundred forty-one billion, five hundred thirty-three million, four hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 179 188 220 235 358 470 517 716 895 940 1034 1627 1790 1969 2068 2209 2585 3254 3580 3938 4418 5170 6508 7876 8135 8413 8836 9845 10340 11045 16270 16826 17897 19690 22090 24299 32540 33652 35794 39380 42065 44180 48598 71588 76469 84130 89485 92543 97196 121495 152938 168260 178970 185086 242990 291233 305876 357940 370172 382345 395411 462715 485980 582466 764690 790822 841159 925430 1164932 1456165 1529380 1581644 1682318 1850860 1977055 2912330 3203563 3364636 3594043 3954110 4205795 4349521 5824660 6407126 7188086 7908220 8411590 8699042 12814252 13687951 14376172 16017815 16823180 17398084 17970215 21747605 27375902 32035630 35940430 39534473 43495210 54751804 64071260 68439755 71880860 79068946 86990420 136879510 150567461 158137892 197672365 273759020 301134922 395344730 602269844 643333697 752837305 790689460 1286667394 1505674610 2573334788 3011349220 3216668485 6433336970 7076670667 12866673940 14153341334 28306682668 35383353335 70766706670 141533413340