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144181285240 = 2354779970787
BaseRepresentation
bin1000011001000111011…
…1111101000101111000
3111210011020112011210111
42012101313331011320
54330240402111430
6150122545154104
713262642463166
oct2062167750570
9453136464714
10144181285240
1156168638683
1223b3a02b934
1310799c17585
146d9aa92236
153b3cd55c2a
hex2191dfd178

144181285240 has 64 divisors (see below), whose sum is σ = 335504332800. Its totient is φ = 55730882688.

The previous prime is 144181285219. The next prime is 144181285289. The reversal of 144181285240 is 42582181441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 144181285193 and 144181285202.

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, 336874 + ... + 633913.

It is an arithmetic number, because the mean of its divisors is an integer number (5242255200).

Almost surely, 2144181285240 is an apocalyptic number.

144181285240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144181285240 is an abundant number, since it is smaller than the sum of its proper divisors (191323047560).

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

144181285240 is a wasteful number, since it uses less digits than its factorization.

144181285240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970924 (or 970920 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The spelling of 144181285240 in words is "one hundred forty-four billion, one hundred eighty-one million, two hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 79 94 158 188 235 316 376 395 470 632 790 940 1580 1880 3160 3713 7426 14852 18565 29704 37130 74260 148520 970787 1941574 3883148 4853935 7766296 9707870 19415740 38831480 45626989 76692173 91253978 153384346 182507956 228134945 306768692 365015912 383460865 456269890 613537384 766921730 912539780 1533843460 1825079560 3067686920 3604532131 7209064262 14418128524 18022660655 28836257048 36045321310 72090642620 144181285240