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144413420112 = 243213211365611
BaseRepresentation
bin1000011001111110110…
…1011110101001010000
3111210202102022211222100
42012133231132221100
54331224313420422
6150202000440400
713301461550223
oct2063755365120
9453672284870
10144413420112
1156277679a85
1223ba3919100
13108060434a0
146dbd83b5ba
153b5340b7ac
hex219fb5ea50

144413420112 has 120 divisors (see below), whose sum is σ = 437309975648. Its totient is φ = 44224185600.

The previous prime is 144413420087. The next prime is 144413420209. The reversal of 144413420112 is 211024314441.

144413420112 is a `hidden beast` number, since 1 + 4 + 441 + 3 + 4 + 201 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212187 + ... + 577797.

Almost surely, 2144413420112 is an apocalyptic number.

144413420112 is a gapful number since it is divisible by the number (12) 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 144413420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218654987824).

144413420112 is an abundant number, since it is smaller than the sum of its proper divisors (292896555536).

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

144413420112 is a wasteful number, since it uses less digits than its factorization.

144413420112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365849 (or 365840 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144413420112 its reverse (211024314441), we get a palindrome (355437734553).

The spelling of 144413420112 in words is "one hundred forty-four billion, four hundred thirteen million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 211 234 312 422 468 624 633 844 936 1266 1688 1872 1899 2532 2743 3376 3798 5064 5486 7596 8229 10128 10972 15192 16458 21944 24687 30384 32916 43888 49374 65832 98748 131664 197496 365611 394992 731222 1096833 1462444 2193666 2924888 3290499 4387332 4752943 5849776 6580998 8774664 9505886 13161996 14258829 17549328 19011772 26323992 28517658 38023544 42776487 52647984 57035316 76047088 77143921 85552974 114070632 154287842 171105948 228141264 231431763 308575684 342211896 462863526 617151368 684423792 694295289 925727052 1002870973 1234302736 1388590578 1851454104 2005741946 2777181156 3008612919 3702908208 4011483892 5554362312 6017225838 8022967784 9025838757 11108724624 12034451676 16045935568 18051677514 24068903352 36103355028 48137806704 72206710056 144413420112