Search a number
-
+
145242334315 = 513193743193383
BaseRepresentation
bin1000011101000100011…
…1100010010001101011
3111212220012002001111101
42013101013202101223
54334424014144230
6150420131142231
713331145320551
oct2072107422153
9455805061441
10145242334315
1156662569541
1224195444977
13109089ab070
14705b971bd1
153ba1095aca
hex21d11e246b

145242334315 has 128 divisors (see below), whose sum is σ = 209256284160. Its totient is φ = 95814254592.

The previous prime is 145242334301. The next prime is 145242334333. The reversal of 145242334315 is 513433242541.

It is a cyclic number.

It is not a de Polignac number, because 145242334315 - 27 = 145242334187 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 127 ways as a sum of consecutive naturals, for example, 379222614 + ... + 379222996.

It is an arithmetic number, because the mean of its divisors is an integer number (1634814720).

Almost surely, 2145242334315 is an apocalyptic number.

145242334315 is a deficient number, since it is larger than the sum of its proper divisors (64013949845).

145242334315 is a wasteful number, since it uses less digits than its factorization.

145242334315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693.

The product of its digits is 172800, while the sum is 37.

Adding to 145242334315 its reverse (513433242541), we get a palindrome (658675576856).

The spelling of 145242334315 in words is "one hundred forty-five billion, two hundred forty-two million, three hundred thirty-four thousand, three hundred fifteen".

Divisors: 1 5 13 19 37 43 65 95 185 193 215 247 383 481 559 703 817 965 1235 1591 1915 2405 2509 2795 3515 3667 4085 4979 7141 7277 7955 8299 9139 10621 12545 14171 16469 18335 20683 24895 30229 35705 36385 41495 45695 47671 53105 70855 73919 82345 92833 94601 103415 107887 135679 151145 157681 184223 214097 238355 269249 307063 312911 369595 392977 464165 473005 539435 609353 678395 788405 921115 960947 1070485 1346245 1404461 1535315 1564555 1763827 1964885 2049853 2735003 3046765 3178517 3500237 3991819 4067843 4804735 5834197 7022305 7921589 8819135 10249265 11577707 13675015 15892585 17501185 18257993 19959095 20339215 29170985 35555039 39607945 41320721 51965057 57888535 60391823 75844561 91289965 117605129 150510191 177775195 206603605 259825285 301959115 379222805 588025645 675545741 752550955 785093699 1528866677 2234497451 3377728705 3925468495 7644333385 11172487255 29048466863 145242334315