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144823052352 = 26311564712143
BaseRepresentation
bin1000011011100000100…
…0000110100001000000
3111211210222010022202210
42012320020012201000
54333044200133402
6150310352342120
713314564430266
oct2067010064100
9454728108683
10144823052352
1156467923820
1224098b44940
131086cb78124
14701bdcc436
153b7937406c
hex21b8206840

144823052352 has 112 divisors (see below), whose sum is σ = 418120445952. Its totient is φ = 43874388480.

The previous prime is 144823052351. The next prime is 144823052369. The reversal of 144823052352 is 253250328441.

It is a self number, because there is not a number n which added to its sum of digits gives 144823052352.

It is not an unprimeable number, because it can be changed into a prime (144823052351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11920393 + ... + 11932535.

Almost surely, 2144823052352 is an apocalyptic number.

144823052352 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 144823052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209060222976).

144823052352 is an abundant number, since it is smaller than the sum of its proper divisors (273297393600).

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

144823052352 is a wasteful number, since it uses less digits than its factorization.

144823052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17816 (or 17806 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 144823052352 in words is "one hundred forty-four billion, eight hundred twenty-three million, fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5647 11294 12143 16941 22588 24286 33882 36429 45176 48572 62117 67764 72858 90352 97144 124234 133573 135528 145716 180704 186351 194288 248468 267146 271056 291432 361408 372702 388576 400719 496936 534292 542112 582864 745404 777152 801438 993872 1068584 1084224 1165728 1490808 1602876 1987744 2137168 2331456 2981616 3205752 3975488 4274336 5963232 6411504 8548672 11926464 12823008 25646016 68571521 137143042 205714563 274286084 411429126 548572168 754286731 822858252 1097144336 1508573462 1645716504 2194288672 2262860193 3017146924 3291433008 4388577344 4525720386 6034293848 6582866016 9051440772 12068587696 13165732032 18102881544 24137175392 36205763088 48274350784 72411526176 144823052352