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144311213310021 = 3337271533046749
BaseRepresentation
bin100000110100000000010010…
…100110110100000001000101
3200220222000110120200102212000
4200310000102212310001011
5122403343331101410041
61230531353422215513
742253066252551522
oct4064002246640105
9626860416612760
10144311213310021
1141a8905080097a
1214228591424599
13626a6484c9a04
14278c9b2ac8149
1511a3cec2ccbb6
hex8340129b4045

144311213310021 has 32 divisors (see below), whose sum is σ = 220382848320000. Its totient is φ = 93261859030080.

The previous prime is 144311213310001. The next prime is 144311213310097. The reversal of 144311213310021 is 120013312113441.

144311213310021 is a `hidden beast` number, since 1 + 4 + 4 + 311 + 2 + 13 + 310 + 0 + 21 = 666.

It is not a de Polignac number, because 144311213310021 - 217 = 144311213178949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144311213310001) 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, 266252646 + ... + 266794103.

It is an arithmetic number, because the mean of its divisors is an integer number (6886964010000).

Almost surely, 2144311213310021 is an apocalyptic number.

It is an amenable number.

144311213310021 is a deficient number, since it is larger than the sum of its proper divisors (76071635009979).

144311213310021 is a wasteful number, since it uses less digits than its factorization.

144311213310021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533047066 (or 533047060 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 144311213310021 its reverse (120013312113441), we get a palindrome (264324525423462).

The spelling of 144311213310021 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred thirteen million, three hundred ten thousand, twenty-one".

Divisors: 1 3 9 27 37 111 271 333 813 999 2439 7317 10027 30081 90243 270729 533046749 1599140247 4797420741 14392262223 19722729713 59168189139 144455668979 177504567417 433367006937 532513702251 1300101020811 3900303062433 5344859752223 16034579256669 48103737770007 144311213310021