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145014242053131 = 32111977435483877
BaseRepresentation
bin100000111110001111000010…
…011000101000110000001011
3201000110020002212021221001200
4200332033002120220300023
5123001403131431200011
61232230342332115243
742354635050353063
oct4076170230506013
9630406085257050
10145014242053131
114222a216142050
1214320894305b23
1362bba272a3029
1427b4a263583a3
1511b7247205856
hex83e3c2628c0b

145014242053131 has 24 divisors (see below), whose sum is σ = 229667226023664. Its totient is φ = 87441290381760.

The previous prime is 145014242053127. The next prime is 145014242053157. The reversal of 145014242053131 is 131350242410541.

145014242053131 is a `hidden beast` number, since 1 + 4 + 50 + 1 + 4 + 2 + 42 + 0 + 531 + 31 = 666.

It is not a de Polignac number, because 145014242053131 - 22 = 145014242053127 is a prime.

It is a super-2 number, since 2×1450142420531312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145014242053171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3717722436 + ... + 3717761441.

It is an arithmetic number, because the mean of its divisors is an integer number (9569467750986).

Almost surely, 2145014242053131 is an apocalyptic number.

145014242053131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145014242053131 is a deficient number, since it is larger than the sum of its proper divisors (84652983970533).

145014242053131 is a wasteful number, since it uses less digits than its factorization.

145014242053131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7435484091 (or 7435484088 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 145014242053131 its reverse (131350242410541), we get a palindrome (276364484463672).

The spelling of 145014242053131 in words is "one hundred forty-five trillion, fourteen billion, two hundred forty-two million, fifty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 197 591 1773 2167 6501 19503 7435483877 22306451631 66919354893 81790322647 245370967941 736112903823 1464790323769 4394370971307 13183112913921 16112693561459 48338080684377 145014242053131