Search a number
-
+
141842448 = 243311191571
BaseRepresentation
bin10000111010001…
…01100000010000
3100212220100021000
420131011200100
5242302424243
622024102000
73341432556
oct1035054020
9325810230
10141842448
1173080370
123b604900
1323503b57
1414ba3bd6
15c6bc5d3
hex8745810

141842448 has 160 divisors (see below), whose sum is σ = 467827200. Its totient is φ = 40694400.

The previous prime is 141842447. The next prime is 141842483. The reversal of 141842448 is 844248141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (141842447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89503 + ... + 91073.

It is an arithmetic number, because the mean of its divisors is an integer number (2923920).

Almost surely, 2141842448 is an apocalyptic number.

141842448 is a gapful number since it is divisible by the number (18) 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 141842448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233913600).

141842448 is an abundant number, since it is smaller than the sum of its proper divisors (325984752).

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

141842448 is a wasteful number, since it uses less digits than its factorization.

141842448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1606 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 141842448 is about 11909.7627180393. The cubic root of 141842448 is about 521.5173236733.

The spelling of 141842448 in words is "one hundred forty-one million, eight hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 342 396 418 432 456 513 528 594 627 684 792 836 912 1026 1188 1254 1368 1571 1584 1672 1881 2052 2376 2508 2736 3142 3344 3762 4104 4713 4752 5016 5643 6284 7524 8208 9426 10032 11286 12568 14139 15048 17281 18852 22572 25136 28278 29849 30096 34562 37704 42417 45144 51843 56556 59698 69124 75408 84834 89547 90288 103686 113112 119396 138248 155529 169668 179094 207372 226224 238792 268641 276496 311058 328339 339336 358188 414744 466587 477584 537282 622116 656678 678672 716376 805923 829488 933174 985017 1074564 1244232 1313356 1432752 1611846 1866348 1970034 2149128 2488464 2626712 2955051 3223692 3732696 3940068 4298256 5253424 5910102 6447384 7465392 7880136 8865153 11820204 12894768 15760272 17730306 23640408 35460612 47280816 70921224 141842448