Search a number
-
+
141101664 = 25311413259
BaseRepresentation
bin10000110100100…
…00101001100000
3100211111201002120
420122100221200
5242110223124
622000144240
73332226054
oct1032205140
9324451076
10141101664
1172714850
123b308080
1323304912
1414a4dc64
15c5c2d79
hex8690a60

141101664 has 96 divisors (see below), whose sum is σ = 414046080. Its totient is φ = 41702400.

The previous prime is 141101647. The next prime is 141101671. The reversal of 141101664 is 466101141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41667 + ... + 44925.

It is an arithmetic number, because the mean of its divisors is an integer number (4312980).

Almost surely, 2141101664 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 141101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207023040).

141101664 is an abundant number, since it is smaller than the sum of its proper divisors (272944416).

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

141101664 is a wasteful number, since it uses less digits than its factorization.

141101664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 141101664 is about 11878.6221423194. The cubic root of 141101664 is about 520.6078493409.

The spelling of 141101664 in words is "one hundred forty-one million, one hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3259 3608 3936 5412 6518 7216 9777 10824 13036 14432 19554 21648 26072 35849 39108 43296 52144 71698 78216 104288 107547 133619 143396 156432 215094 267238 286792 312864 400857 430188 534476 573584 801714 860376 1068952 1147168 1469809 1603428 1720752 2137904 2939618 3206856 3441504 4275808 4409427 5879236 6413712 8818854 11758472 12827424 17637708 23516944 35275416 47033888 70550832 141101664