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144021232212 = 223111399784181
BaseRepresentation
bin1000011000100001010…
…1011001101001010100
3111202202002100122022120
42012020111121221110
54324423413412322
6150055030455540
713255660163244
oct2061025315124
9452662318276
10144021232212
115609625a450
1223ab45045b0
1310772a08940
146d8370bb24
153b2dc8ca5c
hex2188559a54

144021232212 has 96 divisors (see below), whose sum is σ = 395200143744. Its totient is φ = 40244774400.

The previous prime is 144021232211. The next prime is 144021232217. The reversal of 144021232212 is 212232120441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144021232211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668762 + ... + 1752942.

It is an arithmetic number, because the mean of its divisors is an integer number (4116668164).

Almost surely, 2144021232212 is an apocalyptic number.

144021232212 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 144021232212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197600071872).

144021232212 is an abundant number, since it is smaller than the sum of its proper divisors (251178911532).

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

144021232212 is a wasteful number, since it uses less digits than its factorization.

144021232212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85209 (or 85207 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144021232212 its reverse (212232120441), we get a palindrome (356253352653).

The spelling of 144021232212 in words is "one hundred forty-four billion, twenty-one million, two hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 997 1716 1994 2991 3988 5982 10967 11964 12961 21934 25922 32901 38883 43868 51844 65802 77766 84181 131604 142571 155532 168362 252543 285142 336724 427713 505086 570284 855426 925991 1010172 1094353 1710852 1851982 2188706 2777973 3283059 3703964 4377412 5555946 6566118 11111892 12037883 13132236 24075766 36113649 48151532 72227298 83928457 144454596 167856914 251785371 335713828 503570742 923213027 1007141484 1091069941 1846426054 2182139882 2769639081 3273209823 3692852108 4364279764 5539278162 6546419646 11078556324 12001769351 13092839292 24003538702 36005308053 48007077404 72010616106 144021232212