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144426100 = 225271359269
BaseRepresentation
bin10001001101111…
…00010001110100
3101001202121100211
420212330101310
5243433113400
622155315204
73402413230
oct1046742164
9331677324
10144426100
1174585515
124044bb04
1323bc9b40
14152775c0
15ca2cdba
hex89bc474

144426100 has 144 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 44766720.

The previous prime is 144426097. The next prime is 144426103. The reversal of 144426100 is 1624441.

It is an interprime number because it is at equal distance from previous prime (144426097) and next prime (144426103).

It is a super-2 number, since 2×1444261002 = 41717796722420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144426103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 536766 + ... + 537034.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2144426100 is an apocalyptic number.

144426100 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 144426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

144426100 is an abundant number, since it is smaller than the sum of its proper divisors (249298700).

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

144426100 is a wasteful number, since it uses less digits than its factorization.

144426100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 144426100 is about 12017.7410522943. The cubic root of 144426100 is about 524.6647595216.

The spelling of 144426100 in words is "one hundred forty-four million, four hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 59 65 70 91 100 118 130 140 175 182 236 260 269 295 325 350 364 413 455 538 590 650 700 767 826 910 1076 1180 1300 1345 1475 1534 1652 1820 1883 2065 2275 2690 2950 3068 3497 3766 3835 4130 4550 5369 5380 5900 6725 6994 7532 7670 8260 9100 9415 10325 10738 13450 13988 15340 15871 17485 18830 19175 20650 21476 24479 26845 26900 31742 34970 37660 38350 41300 47075 48958 53690 63484 69940 76700 79355 87425 94150 97916 107380 111097 122395 134225 158710 174850 188300 206323 222194 244790 268450 317420 349700 396775 412646 444388 489580 536900 555485 611975 793550 825292 1031615 1110970 1223950 1444261 1587100 2063230 2221940 2447900 2777425 2888522 4126460 5158075 5554850 5777044 7221305 10316150 11109700 14442610 20632300 28885220 36106525 72213050 144426100