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144043101440 = 285718188819
BaseRepresentation
bin1000011000100110100…
…0110100110100000000
3111202210121111201020222
42012021220310310000
54330000013221230
6150101131322212
713256344106030
oct2061150646400
9452717451228
10144043101440
11560a7637097
1223abb8b0368
13107773c4b04
146d865a18c0
153b30b5c6e5
hex2189a34d00

144043101440 has 144 divisors (see below), whose sum is σ = 396501006720. Its totient is φ = 49112801280.

The previous prime is 144043101401. The next prime is 144043101481. The reversal of 144043101440 is 44101340441.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1577351 + ... + 1666169.

Almost surely, 2144043101440 is an apocalyptic number.

144043101440 is a gapful number since it is divisible by the number (10) 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 144043101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198250503360).

144043101440 is an abundant number, since it is smaller than the sum of its proper divisors (252457905280).

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

144043101440 is an equidigital number, since it uses as much as digits as its factorization.

144043101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89028 (or 89014 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 144043101440 its reverse (44101340441), we get a palindrome (188144441881).

The spelling of 144043101440 in words is "one hundred forty-four billion, forty-three million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 181 224 256 280 320 362 448 560 640 724 896 905 1120 1267 1280 1448 1792 1810 2240 2534 2896 3620 4480 5068 5792 6335 7240 8960 10136 11584 12670 14480 20272 23168 25340 28960 40544 46336 50680 57920 81088 88819 101360 115840 162176 177638 202720 231680 324352 355276 405440 444095 621733 710552 810880 888190 1243466 1421104 1621760 1776380 2486932 2842208 3108665 3552760 4973864 5684416 6217330 7105520 9947728 11368832 12434660 14211040 16076239 19895456 22737664 24869320 28422080 32152478 39790912 49738640 56844160 64304956 79581824 80381195 99477280 112533673 113688320 128609912 159163648 160762390 198954560 225067346 257219824 321524780 397909120 450134692 514439648 562668365 643049560 795818240 900269384 1028879296 1125336730 1286099120 1800538768 2057758592 2250673460 2572198240 3601077536 4115517184 4501346920 5144396480 7202155072 9002693840 10288792960 14404310144 18005387680 20577585920 28808620288 36010775360 72021550720 144043101440