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1014141223144 = 237241431467439
BaseRepresentation
bin11101100000111111000…
…01110000000011101000
310120221200020121222210101
432300133201300003220
5113103430123120034
62053520125555144
7133161236110600
oct16603741600350
93527606558711
101014141223144
11361105311175
12144669a15ab4
137482cc226ba
14371285a1c00
151b5a7e93514
hexec1f8700e8

1014141223144 has 96 divisors (see below), whose sum is σ = 2318613897600. Its totient is φ = 414169701120.

The previous prime is 1014141223141. The next prime is 1014141223177. The reversal of 1014141223144 is 4413221414101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1014141223141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42624 + ... + 1424815.

It is an arithmetic number, because the mean of its divisors is an integer number (24152228100).

Almost surely, 21014141223144 is an apocalyptic number.

1014141223144 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 1014141223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159306948800).

1014141223144 is an abundant number, since it is smaller than the sum of its proper divisors (1304472674456).

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

1014141223144 is a wasteful number, since it uses less digits than its factorization.

1014141223144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467543 (or 1467532 counting only the distinct ones).

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

Adding to 1014141223144 its reverse (4413221414101), we get a palindrome (5427362637245).

The spelling of 1014141223144 in words is "one trillion, fourteen billion, one hundred forty-one million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 41 43 49 56 82 86 98 164 172 196 287 301 328 344 392 574 602 1148 1204 1763 2009 2107 2296 2408 3526 4018 4214 7052 8036 8428 12341 14104 16072 16856 24682 49364 86387 98728 172774 345548 691096 1467439 2934878 5869756 10272073 11739512 20544146 41088292 60164999 63099877 71904511 82176584 120329998 126199754 143809022 240659996 252399508 287618044 421154993 441699139 481319992 504799016 575236088 842309986 883398278 1684619972 1766796556 2587094957 2948084951 3091893973 3369239944 3533593112 5174189914 5896169902 6183787946 10348379828 11792339804 12367575892 18109664699 20696759656 23584679608 24735151784 36219329398 72438658796 126767652893 144877317592 253535305786 507070611572 1014141223144