Search a number
-
+
141002148 = 223717293337
BaseRepresentation
bin10000110011110…
…00010110100100
3100211022122120210
420121320112210
5242044032043
621554055420
73331332660
oct1031702644
9324278523
10141002148
1172657001
123b27a570
132329b531
1414a258a0
15c5a3633
hex86785a4

141002148 has 96 divisors (see below), whose sum is σ = 400667904. Its totient is φ = 37675008.

The previous prime is 141002129. The next prime is 141002149. The reversal of 141002148 is 841200141.

It is a happy number.

It is a super-2 number, since 2×1410021482 = 39763211481227808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (141002149) 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, 418236 + ... + 418572.

It is an arithmetic number, because the mean of its divisors is an integer number (4173624).

Almost surely, 2141002148 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 141002148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200333952).

141002148 is an abundant number, since it is smaller than the sum of its proper divisors (259665756).

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

141002148 is a wasteful number, since it uses less digits than its factorization.

141002148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 141002148 is about 11874.4325338098. The cubic root of 141002148 is about 520.4854293450.

Adding to 141002148 its reverse (841200141), we get a palindrome (982202289).

The spelling of 141002148 in words is "one hundred forty-one million, two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 293 337 357 476 586 674 714 879 1011 1172 1348 1428 1758 2022 2051 2359 3516 4044 4102 4718 4981 5729 6153 7077 8204 9436 9962 11458 12306 14154 14943 17187 19924 22916 24612 28308 29886 34374 34867 40103 59772 68748 69734 80206 98741 104601 120309 139468 160412 197482 209202 240618 296223 394964 418404 481236 592446 691187 1184892 1382374 1678597 2073561 2764748 3357194 4147122 5035791 6714388 8294244 10071582 11750179 20143164 23500358 35250537 47000716 70501074 141002148