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141624568036 = 227371933591973
BaseRepresentation
bin1000001111100101111…
…0110110100011100100
3111112120001121111010201
42003321132312203210
54310021342134121
6145021134000244
713142405652160
oct2037136664344
9445501544121
10141624568036
1155076416156
1223545946084
131048031a463
146bd72b9ca0
153a3d674e91
hex20f97b68e4

141624568036 has 96 divisors (see below), whose sum is σ = 293374932480. Its totient is φ = 58556473344.

The previous prime is 141624567991. The next prime is 141624568081. The reversal of 141624568036 is 630865426141.

It is an interprime number because it is at equal distance from previous prime (141624567991) and next prime (141624568081).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71780346 + ... + 71782318.

It is an arithmetic number, because the mean of its divisors is an integer number (3055988880).

Almost surely, 2141624568036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141624568036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146687466240).

141624568036 is an abundant number, since it is smaller than the sum of its proper divisors (151750364444).

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

141624568036 is a wasteful number, since it uses less digits than its factorization.

141624568036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 141624568036 in words is "one hundred forty-one billion, six hundred twenty-four million, five hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 4 7 14 28 37 74 148 193 259 359 386 518 718 772 1036 1351 1436 1973 2513 2702 3946 5026 5404 7141 7892 10052 13283 13811 14282 26566 27622 28564 49987 53132 55244 69287 73001 92981 99974 138574 146002 185962 199948 277148 292004 371924 380789 485009 511007 708307 761578 970018 1022014 1416614 1523156 1940036 2044028 2563619 2665523 2833228 4958149 5127238 5331046 9916298 10254476 10662092 14089193 17945333 19832596 26207359 28178386 35890666 52414718 56356772 71781332 98624351 104829436 136703251 183451513 197248702 273406502 366903026 394497404 546813004 733806052 956922757 1913845514 3827691028 5058020287 10116040574 20232081148 35406142009 70812284018 141624568036