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144110114432313 = 32361128926562113
BaseRepresentation
bin100000110001000101000000…
…001011011110010100111001
3200220020210101122122222112020
4200301011000023132110321
5122342100003243313223
61230255134515305053
742232416656364441
oct4061050013362471
9626223348588466
10144110114432313
1141a10835721687
12141b56098ab189
1362546aa630953
142782d76abb121
15119d97c6451e3
hex8311402de539

144110114432313 has 32 divisors (see below), whose sum is σ = 203946036261120. Its totient is φ = 90319680675840.

The previous prime is 144110114432309. The next prime is 144110114432363. The reversal of 144110114432313 is 313234411011441.

It is not a de Polignac number, because 144110114432313 - 22 = 144110114432309 is a prime.

It is a super-2 number, since 2×1441101144323132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144110114432363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7855656 + ... + 18706457.

It is an arithmetic number, because the mean of its divisors is an integer number (6373313633160).

Almost surely, 2144110114432313 is an apocalyptic number.

It is an amenable number.

144110114432313 is a deficient number, since it is larger than the sum of its proper divisors (59835921828807).

144110114432313 is a wasteful number, since it uses less digits than its factorization.

144110114432313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26563489.

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 144110114432313 its reverse (313234411011441), we get a palindrome (457344525443754).

The spelling of 144110114432313 in words is "one hundred forty-four trillion, one hundred ten billion, one hundred fourteen million, four hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 23 61 69 183 1289 1403 3867 4209 29647 78629 88941 235887 1808467 5425401 26562113 79686339 610928599 1620288893 1832785797 4860866679 34238563657 37266644539 102715690971 111799933617 787486964111 2088552383077 2362460892333 6265657149231 48036704810771 144110114432313