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144141140 = 2251113101499
BaseRepresentation
bin10001001011101…
…10101101010100
3101001020010110202
420211312231110
5243400004030
622145240032
73400115363
oct1045665524
9331203422
10144141140
1174400410
1240333018
1323b2a220
14152017da
15c9c3745
hex8976b54

144141140 has 96 divisors (see below), whose sum is σ = 359856000. Its totient is φ = 47808000.

The previous prime is 144141133. The next prime is 144141149. The reversal of 144141140 is 41141441.

It is a happy number.

144141140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144141149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288611 + ... + 289109.

It is an arithmetic number, because the mean of its divisors is an integer number (3748500).

Almost surely, 2144141140 is an apocalyptic number.

144141140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144141140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179928000).

144141140 is an abundant number, since it is smaller than the sum of its proper divisors (215714860).

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

144141140 is a wasteful number, since it uses less digits than its factorization.

144141140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 144141140 is about 12005.8793930307. The cubic root of 144141140 is about 524.3194689611.

Adding to 144141140 its reverse (41141441), we get a palindrome (185282581).

The spelling of 144141140 in words is "one hundred forty-four million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 101 110 130 143 202 220 260 286 404 499 505 572 715 998 1010 1111 1313 1430 1996 2020 2222 2495 2626 2860 4444 4990 5252 5489 5555 6487 6565 9980 10978 11110 12974 13130 14443 21956 22220 25948 26260 27445 28886 32435 50399 54890 57772 64870 71357 72215 100798 109780 129740 142714 144430 201596 251995 285428 288860 356785 503990 554389 655187 713570 1007980 1108778 1310374 1427140 2217556 2620748 2771945 3275935 5543890 6551870 7207057 11087780 13103740 14414114 28828228 36035285 72070570 144141140