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144300431413400 = 23524117597613587
BaseRepresentation
bin100000110011110110001111…
…111101001001000010011000
3200220220222122011122100012112
4200303312033331021002120
5122403204240420212100
61230522411504531452
742252235132132553
oct4063661775110230
9626828564570175
10144300431413400
1141a845186a0409
1214226482620b88
13626961a827722
14278c26cb8d69a
1511a38ba971b35
hex833d8ff49098

144300431413400 has 48 divisors (see below), whose sum is σ = 343681393373640. Its totient is φ = 56312363475200.

The previous prime is 144300431413373. The next prime is 144300431413429. The reversal of 144300431413400 is 4314134003441.

It is a super-2 number, since 2×1443004314134002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8798798594 + ... + 8798814993.

Almost surely, 2144300431413400 is an apocalyptic number.

144300431413400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144300431413400 is an abundant number, since it is smaller than the sum of its proper divisors (199380961960240).

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

144300431413400 is a wasteful number, since it uses less digits than its factorization.

144300431413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17597613644 (or 17597613635 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 144300431413400 its reverse (4314134003441), we get a palindrome (148614565416841).

The spelling of 144300431413400 in words is "one hundred forty-four trillion, three hundred billion, four hundred thirty-one million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 17597613587 35195227174 70390454348 87988067935 140780908696 175976135870 351952271740 439940339675 703904543480 721502157067 879880679350 1443004314134 1759761358700 2886008628268 3519522717400 3607510785335 5772017256536 7215021570670 14430043141340 18037553926675 28860086282680 36075107853350 72150215706700 144300431413400