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144101040 = 2435600421
BaseRepresentation
bin10001001011011…
…00111010110000
3101001011002110120
420211230322300
5243342213130
622144330240
73366560436
oct1045547260
9331132416
10144101040
1174383276
1240313980
1323b14bb5
14151d0d56
15c9b6910
hex896ceb0

144101040 has 40 divisors (see below), whose sum is σ = 446713968. Its totient is φ = 38426880.

The previous prime is 144101033. The next prime is 144101059. The reversal of 144101040 is 40101441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299971 + ... + 300450.

Almost surely, 2144101040 is an apocalyptic number.

144101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144101040 is an abundant number, since it is smaller than the sum of its proper divisors (302612928).

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

144101040 is a wasteful number, since it uses less digits than its factorization.

144101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600437 (or 600431 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 144101040 is about 12004.2092617548. The cubic root of 144101040 is about 524.2708426385.

Adding to 144101040 its reverse (40101441), we get a palindrome (184202481).

The spelling of 144101040 in words is "one hundred forty-four million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 600421 1200842 1801263 2401684 3002105 3602526 4803368 6004210 7205052 9006315 9606736 12008420 14410104 18012630 24016840 28820208 36025260 48033680 72050520 144101040