Search a number
-
+
144110142021340 = 225111427459037211
BaseRepresentation
bin100000110001000101000001…
…110100101101111011011100
3200220020210110120120122120001
4200301011001310231323130
5122342100032324140330
61230255141342504044
742232420443032065
oct4061050164557334
9626223416518501
10144110142021340
1141a1084a255730
12141b5616b95024
1362546b3270411
142782d7a61d56c
15119d97ec949ca
hex831141d2dedc

144110142021340 has 48 divisors (see below), whose sum is σ = 330374589922944. Its totient is φ = 52366964916800.

The previous prime is 144110142021269. The next prime is 144110142021401. The reversal of 144110142021340 is 43120241011441.

It is a happy number.

It is a super-2 number, since 2×1441101420213402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144110142021299 and 144110142021308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229204666 + ... + 229832545.

It is an arithmetic number, because the mean of its divisors is an integer number (6882803956728).

Almost surely, 2144110142021340 is an apocalyptic number.

144110142021340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144110142021340 is an abundant number, since it is smaller than the sum of its proper divisors (186264447901604).

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

144110142021340 is a wasteful number, since it uses less digits than its factorization.

144110142021340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459038658 (or 459038656 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 144110142021340 its reverse (43120241011441), we get a palindrome (187230383032781).

The spelling of 144110142021340 in words is "one hundred forty-four trillion, one hundred ten billion, one hundred forty-two million, twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1427 2854 5708 7135 14270 15697 28540 31394 62788 78485 156970 313940 459037211 918074422 1836148844 2295186055 4590372110 5049409321 9180744220 10098818642 20197637284 25247046605 50494093210 100988186420 655046100097 1310092200194 2620184400388 3275230500485 6550461000970 7205507101067 13100922001940 14411014202134 28822028404268 36027535505335 72055071010670 144110142021340