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144314200421004 = 22334986344938887
BaseRepresentation
bin100000110100000011000100…
…101001101111001010001100
3200220222022011202110101210010
4200310003010221233022030
5122403420440301433004
61230533010050313220
742253233263563065
oct4064030451571214
9626868152411703
10144314200421004
1141a8a343968639
1214229085888810
13626aa0331a6c3
14278cbb76d756c
1511a3e24677a89
hex8340c4a6f28c

144314200421004 has 96 divisors (see below), whose sum is σ = 338202592358400. Its totient is φ = 47895262472448.

The previous prime is 144314200421003. The next prime is 144314200421117. The reversal of 144314200421004 is 400124002413441.

It is a happy number.

It is a super-2 number, since 2×1443142004210042 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144314200421003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16238793849 + ... + 16238802735.

It is an arithmetic number, because the mean of its divisors is an integer number (3522943670400).

Almost surely, 2144314200421004 is an apocalyptic number.

It is an amenable number.

144314200421004 is an abundant number, since it is smaller than the sum of its proper divisors (193888391937396).

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

144314200421004 is a wasteful number, since it uses less digits than its factorization.

144314200421004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14599 (or 14597 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 144314200421004 its reverse (400124002413441), we get a palindrome (544438202834445).

The spelling of 144314200421004 in words is "one hundred forty-four trillion, three hundred fourteen billion, two hundred million, four hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 12 349 698 863 1047 1396 1726 2094 2589 3452 4188 4493 5178 8887 8986 10356 13479 17774 17972 26661 26958 35548 53322 53916 106644 301187 602374 903561 1204748 1568057 1807122 3101563 3136114 3614244 3877459 4704171 6203126 6272228 7669481 7754918 9304689 9408342 11632377 12406252 15338962 15509836 18609378 18816684 23008443 23264754 30677924 37218756 39929291 46016886 46529508 79858582 92033772 119787873 159717164 239575746 479151492 1353233191 2676648869 2706466382 4059699573 5353297738 5412932764 8029946607 8119399146 10706595476 13935322559 16059893214 16238798292 27870645118 32119786428 34458978133 41805967677 55741290236 68917956266 83611935354 103376934399 137835912532 167223870708 206753868798 413507737596 12026183368417 24052366736834 36078550105251 48104733473668 72157100210502 144314200421004