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144041011341020 = 22517943013935413
BaseRepresentation
bin100000110000000100101001…
…010100000110011011011100
3200220000012000202000020002122
4200300010221110012123130
5122334431442400403040
61230203305504242112
742224422352660123
oct4060045124063334
9626005022006078
10144041011341020
11419944a4840382
12141a4143310338
13624b016c69911
14277d89d258aba
15119bc85b501b5
hex8301295066dc

144041011341020 has 48 divisors (see below), whose sum is σ = 304183387337760. Its totient is φ = 57293131904256.

The previous prime is 144041011340971. The next prime is 144041011341119. The reversal of 144041011341020 is 20143110140441.

It is a happy number.

It is a super-3 number, since 3×1440410113410203 (a number of 43 digits) contains 333 as substring.

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, 153518834 + ... + 154454246.

It is an arithmetic number, because the mean of its divisors is an integer number (6337153902870).

Almost surely, 2144041011341020 is an apocalyptic number.

144041011341020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144041011341020 is an abundant number, since it is smaller than the sum of its proper divisors (160142375996740).

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

144041011341020 is a wasteful number, since it uses less digits than its factorization.

144041011341020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978614 (or 978612 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 144041011341020 its reverse (20143110140441), we get a palindrome (164184121481461).

The spelling of 144041011341020 in words is "one hundred forty-four trillion, forty-one billion, eleven million, three hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 179 358 716 895 1790 3580 43013 86026 172052 215065 430130 860260 935413 1870826 3741652 4677065 7699327 9354130 15398654 18708260 30797308 38496635 76993270 153986540 167438927 334877854 669755708 837194635 1674389270 3348778540 40234919369 80469838738 160939677476 201174596845 402349193690 804698387380 7202050567051 14404101134102 28808202268204 36010252835255 72020505670510 144041011341020