Search a number
-
+
42302214133320 = 23352912155808659
BaseRepresentation
bin10011001111001010000000…
…11100100101011001001000
312112210001102000222111221110
421213211000130211121020
521021034413304231240
6225545211403010320
711624143205226351
oct1147450034453110
9175701360874843
1042302214133320
111252a2a50752a9
1248b2551b099a0
131a7b10a59a09b
14a6361c186d28
154d559e967c80
hex267940725648

42302214133320 has 64 divisors (see below), whose sum is σ = 131282733528000. Its totient is φ = 10891604557568.

The previous prime is 42302214133253. The next prime is 42302214133343. The reversal of 42302214133320 is 2333141220324.

It is a happy number.

42302214133320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6077900850 + ... + 6077907809.

It is an arithmetic number, because the mean of its divisors is an integer number (2051292711375).

Almost surely, 242302214133320 is an apocalyptic number.

42302214133320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42302214133320 is an abundant number, since it is smaller than the sum of its proper divisors (88980519394680).

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

42302214133320 is a wasteful number, since it uses less digits than its factorization.

42302214133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12155808702 (or 12155808698 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 42302214133320 its reverse (2333141220324), we get a palindrome (44635355353644).

The spelling of 42302214133320 in words is "forty-two trillion, three hundred two billion, two hundred fourteen million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 12155808659 24311617318 36467425977 48623234636 60779043295 72934851954 97246469272 121558086590 145869703908 182337129885 243116173180 291739407816 352518451111 364674259770 486232346360 705036902222 729348519540 1057555353333 1410073804444 1458697039080 1762592255555 2115110706666 2820147608888 3525184511110 4230221413332 5287776766665 7050369022220 8460442826664 10575553533330 14100738044440 21151107066660 42302214133320