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144110140413040 = 24517105963338539
BaseRepresentation
bin100000110001000101000001…
…101110100101010001110000
3200220020210110110112221101101
4200301011001232211101300
5122342100031421204130
61230255141244214144
742232420423253134
oct4061050156452160
9626223413487341
10144110140413040
1141a1084935735a
12141b561653a354
1362546b2b29369
142782d7a3213c4
15119d97ea781ca
hex831141ba5470

144110140413040 has 40 divisors (see below), whose sum is σ = 354765257431920. Its totient is φ = 54253229331456.

The previous prime is 144110140412969. The next prime is 144110140413047. The reversal of 144110140413040 is 40314041011441.

It is a happy number.

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

It is a super-2 number, since 2×1441101404130402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144110140413047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52981667910 + ... + 52981670629.

It is an arithmetic number, because the mean of its divisors is an integer number (8869131435798).

Almost surely, 2144110140413040 is an apocalyptic number.

144110140413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144110140413040 is an abundant number, since it is smaller than the sum of its proper divisors (210655117018880).

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

144110140413040 is a wasteful number, since it uses less digits than its factorization.

144110140413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105963338569 (or 105963338563 counting only the distinct ones).

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

Adding to 144110140413040 its reverse (40314041011441), we get a palindrome (184424181424481).

The spelling of 144110140413040 in words is "one hundred forty-four trillion, one hundred ten billion, one hundred forty million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 105963338539 211926677078 423853354156 529816692695 847706708312 1059633385390 1695413416624 1801376755163 2119266770780 3602753510326 4238533541560 7205507020652 8477067083120 9006883775815 14411014041304 18013767551630 28822028082608 36027535103260 72055070206520 144110140413040