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144000432120 = 23357917387803
BaseRepresentation
bin1000011000011100011…
…0000011011111111000
3111202200122012212221210
42012013012003133320
54324403102311440
6150053005003120
713255315322466
oct2060706033770
9452618185853
10144000432120
1156085542a96
1223aa95534a0
131076b6052ac
146d80a55836
153b2c02ea80
hex21871837f8

144000432120 has 128 divisors (see below), whose sum is σ = 440003404800. Its totient is φ = 37694452224.

The previous prime is 144000432083. The next prime is 144000432139. The reversal of 144000432120 is 21234000441.

It is a super-2 number, since 2×1440004321202 (a number of 23 digits) contains 22 as substring.

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, 1596139 + ... + 1683941.

It is an arithmetic number, because the mean of its divisors is an integer number (3437526600).

Almost surely, 2144000432120 is an apocalyptic number.

144000432120 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 144000432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220001702400).

144000432120 is an abundant number, since it is smaller than the sum of its proper divisors (296002972680).

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

144000432120 is a wasteful number, since it uses less digits than its factorization.

144000432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88069 (or 88065 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 144000432120 its reverse (21234000441), we get a palindrome (165234432561).

The spelling of 144000432120 in words is "one hundred forty-four billion, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 173 237 316 346 395 474 519 632 692 790 865 948 1038 1185 1384 1580 1730 1896 2076 2370 2595 3160 3460 4152 4740 5190 6920 9480 10380 13667 20760 27334 41001 54668 68335 82002 87803 109336 136670 164004 175606 205005 263409 273340 328008 351212 410010 439015 526818 546680 702424 820020 878030 1053636 1317045 1640040 1756060 2107272 2634090 3512120 5268180 6936437 10536360 13872874 15189919 20809311 27745748 30379838 34682185 41618622 45569757 55491496 60759676 69364370 75949595 83237244 91139514 104046555 121519352 138728740 151899190 166474488 182279028 208093110 227848785 277457480 303798380 364558056 416186220 455697570 607596760 832372440 911395140 1200003601 1822790280 2400007202 3600010803 4800014404 6000018005 7200021606 9600028808 12000036010 14400043212 18000054015 24000072020 28800086424 36000108030 48000144040 72000216060 144000432120