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144140042001102 = 237192310687734849
BaseRepresentation
bin100000110001100000111000…
…000000000101101011001110
3200220100122122100122222221220
4200301200320000011223032
5122343042301223013402
61230321004323104210
742234526416462540
oct4061407000055316
9626318570588856
10144140042001102
1141a224a2a94004
12141bb380512066
1362574699b5734
1427845b566d690
15119e62ec12dbc
hex831838005ace

144140042001102 has 128 divisors (see below), whose sum is σ = 361915858944000. Its totient is φ = 37315487379456.

The previous prime is 144140042001061. The next prime is 144140042001107. The reversal of 144140042001102 is 201100240041441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144140042001107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195781774 + ... + 196516622.

It is an arithmetic number, because the mean of its divisors is an integer number (2827467648000).

Almost surely, 2144140042001102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144140042001102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180957929472000).

144140042001102 is an abundant number, since it is smaller than the sum of its proper divisors (217775816942898).

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

144140042001102 is a wasteful number, since it uses less digits than its factorization.

144140042001102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745590.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144140042001102 its reverse (201100240041441), we get a palindrome (345240282042543).

The spelling of 144140042001102 in words is "one hundred forty-four trillion, one hundred forty billion, forty-two million, one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 399 437 483 798 874 966 1311 2622 3059 6118 9177 10687 18354 21374 32061 64122 74809 149618 203053 224427 245801 406106 448854 491602 609159 734849 737403 1218318 1421371 1469698 1474806 1720607 2204547 2842742 3441214 4264113 4409094 4670219 5143943 5161821 8528226 9340438 10287886 10323642 13962131 14010657 15431829 16901527 27924262 28021314 30863658 32691533 33803054 41886393 50704581 65383066 83772786 97734917 98074599 101409162 118310689 195469834 196149198 236621378 293204751 321129013 354932067 586409502 642258026 709864134 963387039 1926774078 2247903091 4495806182 6743709273 7853331263 13487418546 15706662526 23559993789 47119987578 54973318841 109946637682 149213293997 164919956523 180626619049 298426587994 329839913046 361253238098 447639881991 541879857147 895279763982 1044493057979 1083759714294 1264386333343 2088986115958 2528772666686 3133479173937 3431905761931 3793159000029 6266958347874 6863811523862 7586318000058 10295717285793 20591434571586 24023340333517 48046680667034 72070021000551 144140042001102