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1441231012144 = 2471117611128091
BaseRepresentation
bin10100111110010000000…
…100000000000100110000
312002210001212102020011201
4110332100010000010300
5142103120114342034
63022031542220544
7206061022321360
oct24762004000460
95083055366151
101441231012144
1150624a373a40
121b33a1424754
13a5ba4a1b491
144da8249a9a0
1527752c5b014
hex14f90100130

1441231012144 has 160 divisors (see below), whose sum is σ = 3746637199872. Its totient is φ = 519823872000.

The previous prime is 1441231012097. The next prime is 1441231012171. The reversal of 1441231012144 is 4412101321441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713539 + ... + 1841629.

Almost surely, 21441231012144 is an apocalyptic number.

1441231012144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441231012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873318599936).

1441231012144 is an abundant number, since it is smaller than the sum of its proper divisors (2305406187728).

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

1441231012144 is a wasteful number, since it uses less digits than its factorization.

1441231012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128195 (or 1128189 counting only the distinct ones).

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

Adding to 1441231012144 its reverse (4412101321441), we get a palindrome (5853332333585).

The spelling of 1441231012144 in words is "one trillion, four hundred forty-one billion, two hundred thirty-one million, twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 61 68 77 88 112 119 122 136 154 176 187 238 244 272 308 374 427 476 488 616 671 748 854 952 976 1037 1232 1309 1342 1496 1708 1904 2074 2618 2684 2992 3416 4148 4697 5236 5368 6832 7259 8296 9394 10472 10736 11407 14518 16592 18788 20944 22814 29036 37576 45628 58072 75152 79849 91256 116144 159698 182512 319396 638792 1128091 1277584 2256182 4512364 7896637 9024728 12409001 15793274 18049456 19177547 24818002 31586548 38355094 49636004 63173096 68813551 76710188 86863007 99272008 126346192 134242829 137627102 153420376 173726014 198544016 210953017 268485658 275254204 306840752 347452028 421906034 481694857 536971316 550508408 694904056 756949061 843812068 963389714 1073942632 1101016816 1169830367 1389808112 1476671119 1513898122 1687624136 1926779428 2147885264 2339660734 2953342238 3027796244 3375248272 3853558856 4679321468 5298643427 5906684476 6055592488 7707117712 8188812569 9358642936 10597286854 11813368952 12111184976 12868134037 16377625138 18717285872 21194573708 23626737904 25736268074 32755250276 42389147416 51472536148 65510500552 84778294832 90076938259 102945072296 131021001104 180153876518 205890144592 360307753036 720615506072 1441231012144