Search a number
-
+
42000144242232 = 23311269035913521
BaseRepresentation
bin10011000110010111010111…
…01011011001011000111000
312111201011201021012010102110
421203023223223121120320
521001112243411222412
6225154333324532320
711563260504431061
oct1143135353313070
9174634637163373
1042000144242232
1112423185535210
124863aab3b10a0
131a5879a993067
14a52b64195568
154cc7c06dcd3c
hex2632ebad9638

42000144242232 has 64 divisors (see below), whose sum is σ = 114550125039360. Its totient is φ = 12726841203200.

The previous prime is 42000144242191. The next prime is 42000144242233. The reversal of 42000144242232 is 23224244100024.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42000144242232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42000144242233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4145632 + ... + 10059152.

It is an arithmetic number, because the mean of its divisors is an integer number (1789845703740).

Almost surely, 242000144242232 is an apocalyptic number.

It is an amenable number.

42000144242232 is an abundant number, since it is smaller than the sum of its proper divisors (72549980797128).

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

42000144242232 is a wasteful number, since it uses less digits than its factorization.

42000144242232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940444 (or 5940440 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 42000144242232 its reverse (23224244100024), we get a palindrome (65224388342256).

The spelling of 42000144242232 in words is "forty-two trillion, one hundred forty-four million, two hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 26903 53806 80709 107612 161418 215224 295933 322836 591866 645672 887799 1183732 1775598 2367464 3551196 5913521 7102392 11827042 17740563 23654084 35481126 47308168 65048731 70962252 130097462 141924504 195146193 260194924 390292386 520389848 780584772 1561169544 159091455463 318182910926 477274366389 636365821852 954548732778 1272731643704 1750006010093 1909097465556 3500012020186 3818194931112 5250018030279 7000024040372 10500036060558 14000048080744 21000072121116 42000144242232