Search a number
-
+
41312222244 = 22324767373977
BaseRepresentation
bin100110011110011001…
…100111110000100100
310221122010020100000100
4212132121213300210
51134101412102434
630551212144100
72661520044426
oct463631476044
9127563210010
1041312222244
111657a744037
12800b468030
133b84ba9727
141ddc990816
15111bcdd699
hex99e667c24

41312222244 has 144 divisors (see below), whose sum is σ = 108643062528. Its totient is φ = 13227439104.

The previous prime is 41312222183. The next prime is 41312222249. The reversal of 41312222244 is 44222221314.

It is a happy number.

41312222244 is a `hidden beast` number, since 413 + 1 + 2 + 2 + 2 + 2 + 244 = 666.

41312222244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41312222249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42284284 + ... + 42285260.

It is an arithmetic number, because the mean of its divisors is an integer number (754465712).

Almost surely, 241312222244 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 41312222244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54321531264).

41312222244 is an abundant number, since it is smaller than the sum of its proper divisors (67330840284).

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

41312222244 is a wasteful number, since it uses less digits than its factorization.

41312222244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1469 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 41312222244 its reverse (44222221314), we get a palindrome (85534443558).

The spelling of 41312222244 in words is "forty-one billion, three hundred twelve million, two hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 67 94 134 141 188 201 268 282 373 402 423 564 603 746 804 846 977 1119 1206 1492 1692 1954 2238 2412 2931 3149 3357 3908 4476 5862 6298 6714 8793 9447 11724 12596 13428 17531 17586 18894 24991 28341 35062 35172 37788 45919 49982 52593 56682 65459 70124 74973 91838 99964 105186 113364 130918 137757 149946 157779 183676 196377 210372 224919 261836 275514 299892 315558 364421 392754 413271 449838 551028 589131 631116 728842 785508 826542 899676 1093263 1174577 1178262 1457684 1653084 2186526 2349154 2356524 3076573 3279789 3523731 4373052 4698308 6153146 6559578 7047462 9229719 10571193 12306292 13119156 14094924 17127787 18459438 21142386 24416207 27689157 34255574 36918876 42284772 48832414 51383361 55378314 68511148 73248621 97664828 102766722 110756628 146497242 154150083 205533444 219745863 292994484 308300166 439491726 616600332 878983452 1147561729 2295123458 3442685187 4590246916 6885370374 10328055561 13770740748 20656111122 41312222244