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144444102132 = 2231129103136599
BaseRepresentation
bin1000011010000110001…
…0100001010111110100
3111210211120001122210110
42012201202201113310
54331310142232012
6150205014223020
713302313416201
oct2064142412764
9453746048713
10144444102132
1156292a25920
1223bb2054a70
131080c4c6a25
146dc3946ca8
153b55e6c73c
hex21a18a15f4

144444102132 has 96 divisors (see below), whose sum is σ = 380733696000. Its totient is φ = 42219452800.

The previous prime is 144444102109. The next prime is 144444102151. The reversal of 144444102132 is 231201444441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144444102132.

It is a congruent number.

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, 3928369 + ... + 3964967.

It is an arithmetic number, because the mean of its divisors is an integer number (3965976000).

Almost surely, 2144444102132 is an apocalyptic number.

144444102132 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 144444102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190366848000).

144444102132 is an abundant number, since it is smaller than the sum of its proper divisors (236289593868).

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

144444102132 is a wasteful number, since it uses less digits than its factorization.

144444102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37677 (or 37675 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 144444102132 its reverse (231201444441), we get a palindrome (375645546573).

The spelling of 144444102132 in words is "one hundred forty-four billion, four hundred forty-four million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1031 1276 1914 2062 3093 3828 4124 6186 11341 12372 22682 29899 34023 36599 45364 59798 68046 73198 89697 109797 119596 136092 146396 179394 219594 328889 358788 402589 439188 657778 805178 986667 1061371 1207767 1315556 1610356 1973334 2122742 2415534 3184113 3946668 4245484 4831068 6368226 11675081 12736452 23350162 35025243 37733569 46700324 70050486 75467138 113200707 140100972 150934276 226401414 415069259 452802828 830138518 1094273501 1245207777 1660277036 2188547002 2490415554 3282820503 4377094004 4980831108 6565641006 12037008511 13131282012 24074017022 36111025533 48148034044 72222051066 144444102132