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141072624 = 24337114241
BaseRepresentation
bin10000110100010…
…01100011110000
3100211110020021000
420122021203300
5242103310444
621555402000
73332045310
oct1032114360
9324406230
10141072624
11726a4a50
123b2b3300
13232c4634
1414a43440
15c5b9469
hex86898f0

141072624 has 160 divisors (see below), whose sum is σ = 504967680. Its totient is φ = 36633600.

The previous prime is 141072623. The next prime is 141072641. The reversal of 141072624 is 426270141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141072623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31144 + ... + 35384.

It is an arithmetic number, because the mean of its divisors is an integer number (3156048).

Almost surely, 2141072624 is an apocalyptic number.

141072624 is a gapful number since it is divisible by the number (14) 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 141072624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252483840).

141072624 is an abundant number, since it is smaller than the sum of its proper divisors (363895056).

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

141072624 is a wasteful number, since it uses less digits than its factorization.

141072624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 141072624 is about 11877.3997154259. The cubic root of 141072624 is about 520.5721316208.

The spelling of 141072624 in words is "one hundred forty-one million, seventy-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4241 4752 5544 8316 8482 11088 12723 16632 16964 25446 29687 33264 33928 38169 46651 50892 59374 67856 76338 89061 93302 101784 114507 118748 139953 152676 178122 186604 203568 229014 237496 267183 279906 305352 326557 356244 373208 419859 458028 474992 534366 559812 610704 653114 712488 746416 801549 839718 916056 979671 1068732 1119624 1259577 1306228 1424976 1603098 1679436 1832112 1959342 2137464 2239248 2519154 2612456 2939013 3206196 3358872 3918684 4274928 5038308 5224912 5878026 6412392 6717744 7837368 8817039 10076616 11756052 12824784 15674736 17634078 20153232 23512104 35268156 47024208 70536312 141072624