Search a number
-
+
141522363906 = 237112959179033
BaseRepresentation
bin1000001111001101100…
…0111110011000000010
3111112021221021222102120
42003303120332120002
54304314211121111
6145003043225110
713140025150020
oct2036330763002
9445257258376
10141522363906
1155023759730
1223517678196
13104650b4641
146bc78b3710
153a346d7406
hex20f363e602

141522363906 has 128 divisors (see below), whose sum is σ = 371244902400. Its totient is φ = 34889756160.

The previous prime is 141522363883. The next prime is 141522363923. The reversal of 141522363906 is 609363225141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700966 + ... + 879998.

It is an arithmetic number, because the mean of its divisors is an integer number (2900350800).

Almost surely, 2141522363906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141522363906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185622451200).

141522363906 is an abundant number, since it is smaller than the sum of its proper divisors (229722538494).

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

141522363906 is a wasteful number, since it uses less digits than its factorization.

141522363906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179144.

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 141522363906 in words is "one hundred forty-one billion, five hundred twenty-two million, three hundred sixty-three thousand, nine hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 59 66 77 87 118 154 174 177 203 231 319 354 406 413 462 609 638 649 826 957 1218 1239 1298 1711 1914 1947 2233 2478 3422 3894 4466 4543 5133 6699 9086 10266 11977 13398 13629 18821 23954 27258 35931 37642 56463 71862 112926 131747 179033 263494 358066 395241 537099 790482 1074198 1253231 1969363 2506462 3759693 3938726 5191957 5908089 7519386 10383914 10562947 11816178 13785541 15575871 21125894 27571082 31151742 31688841 36343699 41356623 57111527 63377682 72687398 73940629 82713246 109031097 114223054 116192417 147881258 171334581 218062194 221821887 232384834 306325463 342669162 348577251 399780689 443643774 612650926 697154502 799561378 813346919 918976389 1199342067 1626693838 1837952778 2144278241 2398684134 2440040757 3369580093 4288556482 4880081514 6432834723 6739160186 10108740279 12865669446 20217480558 23587060651 47174121302 70761181953 141522363906