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144429872873 = 11213535929363
BaseRepresentation
bin1000011010000010110…
…0001111011011101001
3111210210120021201220212
42012200230033123221
54331243021412443
6150203345230505
713302051443366
oct2064054173351
9453716251825
10144429872873
1156285997200
1223ba9332435
1310809584150
146dc1ac146d
153b54aab618
hex21a0b0f6e9

144429872873 has 48 divisors (see below), whose sum is σ = 177149488320. Its totient is φ = 116893645440.

The previous prime is 144429872869. The next prime is 144429872887. The reversal of 144429872873 is 378278924441.

It is not a de Polignac number, because 144429872873 - 22 = 144429872869 is a prime.

It is a super-2 number, since 2×1444298728732 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144429872173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4904090 + ... + 4933452.

It is an arithmetic number, because the mean of its divisors is an integer number (3690614340).

Almost surely, 2144429872873 is an apocalyptic number.

144429872873 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144429872873 is a deficient number, since it is larger than the sum of its proper divisors (32719615447).

144429872873 is a wasteful number, since it uses less digits than its factorization.

144429872873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29510 (or 29499 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 59.

The spelling of 144429872873 in words is "one hundred forty-four billion, four hundred twenty-nine million, eight hundred seventy-two thousand, eight hundred seventy-three".

Divisors: 1 11 13 53 59 121 143 583 649 689 767 1573 3127 6413 7139 7579 8437 29363 34397 40651 83369 92807 322993 378367 381719 447161 1556239 1732417 3552923 4198909 4918771 17118629 19056587 20231107 22521421 46187999 91818101 188304919 209622457 222542177 247735631 1009999111 1193635313 2447963947 2725091941 11109990221 13129988443 144429872873