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144023300232 = 23376769118517
BaseRepresentation
bin1000011000100001110…
…1010010100010001000
3111202202020020201002220
42012020131102202020
54324424431101412
6150055143054040
713256013565410
oct2061035224210
9452666221086
10144023300232
1156097442159
1223ab5141320
1310773281016
146d83ac9640
153b2e04a68c
hex2188752888

144023300232 has 128 divisors (see below), whose sum is σ = 418263843840. Its totient is φ = 40474494720.

The previous prime is 144023300203. The next prime is 144023300251. The reversal of 144023300232 is 232003320441.

It is a super-2 number, since 2×1440233002322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7768638 + ... + 7787154.

It is an arithmetic number, because the mean of its divisors is an integer number (3267686280).

Almost surely, 2144023300232 is an apocalyptic number.

144023300232 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 144023300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209131921920).

144023300232 is an abundant number, since it is smaller than the sum of its proper divisors (274240543608).

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

144023300232 is a wasteful number, since it uses less digits than its factorization.

144023300232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19291 (or 19287 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 144023300232 its reverse (232003320441), we get a palindrome (376026620673).

The spelling of 144023300232 in words is "one hundred forty-four billion, twenty-three million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 691 804 938 1382 1407 1608 1876 2073 2764 2814 3752 4146 4837 5528 5628 8292 9674 11256 14511 16584 18517 19348 29022 37034 38696 46297 55551 58044 74068 92594 111102 116088 129619 138891 148136 185188 222204 259238 277782 324079 370376 388857 444408 518476 555564 648158 777714 972237 1036952 1111128 1240639 1296316 1555428 1944474 2481278 2592632 3110856 3721917 3888948 4962556 7443834 7777896 8684473 9925112 12795247 14887668 17368946 25590494 26053419 29775336 34737892 38385741 51180988 52106838 69475784 76771482 89566729 102361976 104213676 153542964 179133458 208427352 268700187 307085928 358266916 537400374 716533832 857281549 1074800748 1714563098 2149601496 2571844647 3429126196 5143689294 6000970843 6858252392 10287378588 12001941686 18002912529 20574757176 24003883372 36005825058 48007766744 72011650116 144023300232