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145131115250 = 25311192146191
BaseRepresentation
bin1000011100101001111…
…1010001001011110010
3111212121102210112121202
42013022133101023302
54334212031142000
6150401115251202
713325325060662
oct2071237211362
9455542715552
10145131115250
1156605804a60
1224164149b02
13108bb939b74
14704aca01a2
153b96426dd5
hex21ca7d12f2

145131115250 has 96 divisors (see below), whose sum is σ = 312806437632. Its totient is φ = 49996980000.

The previous prime is 145131115229. The next prime is 145131115267. The reversal of 145131115250 is 52511131541.

It is a happy number.

145131115250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1451311152502 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 919655 + ... + 1065845.

It is an arithmetic number, because the mean of its divisors is an integer number (3258400392).

Almost surely, 2145131115250 is an apocalyptic number.

145131115250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145131115250 is an abundant number, since it is smaller than the sum of its proper divisors (167675322382).

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

145131115250 is a wasteful number, since it uses less digits than its factorization.

145131115250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146257 (or 146228 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 29.

Adding to 145131115250 its reverse (52511131541), we get a palindrome (197642246791).

The spelling of 145131115250 in words is "one hundred forty-five billion, one hundred thirty-one million, one hundred fifteen thousand, two hundred fifty".

Divisors: 1 2 5 10 11 19 22 25 38 50 55 95 110 125 190 209 250 275 361 418 475 550 722 950 1045 1375 1805 2090 2375 2750 3610 3971 4750 5225 7942 9025 10450 18050 19855 26125 39710 45125 52250 90250 99275 146191 198550 292382 496375 730955 992750 1461910 1608101 2777629 3216202 3654775 5555258 7309550 8040505 13888145 16081010 18273875 27776290 30553919 36547750 40202525 52774951 61107838 69440725 80405050 105549902 138881450 152769595 201012625 263874755 305539190 347203625 402025250 527749510 580524461 694407250 763847975 1161048922 1319373775 1527695950 2638747550 2902622305 3819239875 5805244610 6596868875 7638479750 13193737750 14513111525 29026223050 72565557625 145131115250