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144887440 = 24541163271
BaseRepresentation
bin10001010001011…
…00111010010000
3101002122001012111
420220230322100
5244042344230
622213235104
73406344235
oct1050547220
9332561174
10144887440
1174870095
1240632a94
132402bb19
141535778c
15cabe92a
hex8a2ce90

144887440 has 80 divisors (see below), whose sum is σ = 348477696. Its totient is φ = 55987200.

The previous prime is 144887437. The next prime is 144887453. The reversal of 144887440 is 44788441.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 144887393 and 144887402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534505 + ... + 534775.

Almost surely, 2144887440 is an apocalyptic number.

144887440 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 144887440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174238848).

144887440 is an abundant number, since it is smaller than the sum of its proper divisors (203590256).

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

144887440 is a wasteful number, since it uses less digits than its factorization.

144887440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The square root of 144887440 is about 12036.9198717944. The cubic root of 144887440 is about 525.2228109430. Note that the first 3 decimals are identical.

It can be divided in two parts, 1448 and 87440, that added together give a palindrome (88888).

The spelling of 144887440 in words is "one hundred forty-four million, eight hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 163 164 205 271 326 328 410 542 652 656 815 820 1084 1304 1355 1630 1640 2168 2608 2710 3260 3280 4336 5420 6520 6683 10840 11111 13040 13366 21680 22222 26732 33415 44173 44444 53464 55555 66830 88346 88888 106928 111110 133660 176692 177776 220865 222220 267320 353384 441730 444440 534640 706768 883460 888880 1766920 1811093 3533840 3622186 7244372 9055465 14488744 18110930 28977488 36221860 72443720 144887440