Search a number
-
+
42401220140 = 225174719713469
BaseRepresentation
bin100111011111010011…
…110100011000101100
311001110000101011021202
4213133103310120230
51143314203021030
631251233145032
73030512265416
oct473723643054
9131400334252
1042401220140
1116a894242a4
1282740bb178
133cc96a7696
1420a34679b6
1511826ee745
hex9df4f462c

42401220140 has 96 divisors (see below), whose sum is σ = 96782273280. Its totient is φ = 15542718464.

The previous prime is 42401220137. The next prime is 42401220167. The reversal of 42401220140 is 4102210424.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3141326 + ... + 3154794.

It is an arithmetic number, because the mean of its divisors is an integer number (1008148680).

Almost surely, 242401220140 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 42401220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48391136640).

42401220140 is an abundant number, since it is smaller than the sum of its proper divisors (54381053140).

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

42401220140 is a wasteful number, since it uses less digits than its factorization.

42401220140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13739 (or 13737 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42401220140 its reverse (4102210424), we get a palindrome (46503430564).

The spelling of 42401220140 in words is "forty-two billion, four hundred one million, two hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 197 235 340 394 470 788 799 940 985 1598 1970 3196 3349 3940 3995 6698 7990 9259 13396 13469 15980 16745 18518 26938 33490 37036 46295 53876 66980 67345 92590 134690 157403 185180 228973 269380 314806 457946 629612 633043 787015 915892 1144865 1266086 1574030 2289730 2532172 2653393 3148060 3165215 4579460 5306786 6330430 10613572 10761731 12660860 13266965 21523462 26533930 43046924 45107681 53067860 53808655 90215362 107617310 124709471 180430724 215234620 225538405 249418942 451076810 498837884 623547355 902153620 1247094710 2120061007 2494189420 4240122014 8480244028 10600305035 21200610070 42401220140