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144131033424 = 2437433990673
BaseRepresentation
bin1000011000111011100…
…0010000100101010000
3111210000201222010021010
42012032320100211100
54330140021032144
6150113552130520
713261462366350
oct2061670204520
9453021863233
10144131033424
1156142235754
1223b25236a40
131078c6a1681
146d94130b60
153b3872b5b9
hex218ee10950

144131033424 has 80 divisors (see below), whose sum is σ = 426512895872. Its totient is φ = 41085149184.

The previous prime is 144131033413. The next prime is 144131033441. The reversal of 144131033424 is 424330131441.

It is a junction number, because it is equal to n+sod(n) for n = 144131033391 and 144131033400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349849 + ... + 640824.

Almost surely, 2144131033424 is an apocalyptic number.

144131033424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144131033424 is an abundant number, since it is smaller than the sum of its proper divisors (282381862448).

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

144131033424 is a wasteful number, since it uses less digits than its factorization.

144131033424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991124 (or 991118 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144131033424 its reverse (424330131441), we get a palindrome (568461164865).

The spelling of 144131033424 in words is "one hundred forty-four billion, one hundred thirty-one million, thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 433 866 1299 1732 2598 3031 3464 5196 6062 6928 9093 10392 12124 18186 20784 24248 36372 48496 72744 145488 990673 1981346 2972019 3962692 5944038 6934711 7925384 11888076 13869422 15850768 20804133 23776152 27738844 41608266 47552304 55477688 83216532 110955376 166433064 332866128 428961409 857922818 1286884227 1715845636 2573768454 3002729863 3431691272 5147536908 6005459726 6863382544 9008189589 10295073816 12010919452 18016379178 20590147632 24021838904 36032758356 48043677808 72065516712 144131033424