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144064480 = 2557128629
BaseRepresentation
bin10001001011000…
…11111111100000
3101001002020022111
420211203333200
5243340030410
622143445104
73366346030
oct1045437740
9331066274
10144064480
117435885a
12402b6794
1323b01371
14151c18c0
15c9aab8a
hex8963fe0

144064480 has 48 divisors (see below), whose sum is σ = 388977120. Its totient is φ = 49393152.

The previous prime is 144064469. The next prime is 144064549. The reversal of 144064480 is 84460441.

144064480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63195 + ... + 65434.

It is an arithmetic number, because the mean of its divisors is an integer number (8103690).

Almost surely, 2144064480 is an apocalyptic number.

144064480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144064480 is an abundant number, since it is smaller than the sum of its proper divisors (244912640).

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

144064480 is a wasteful number, since it uses less digits than its factorization.

144064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128651 (or 128643 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 144064480 is about 12002.6863659766. The cubic root of 144064480 is about 524.2265011514.

The spelling of 144064480 in words is "one hundred forty-four million, sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 128629 257258 514516 643145 900403 1029032 1286290 1800806 2058064 2572580 3601612 4116128 4502015 5145160 7203224 9004030 10290320 14406448 18008060 20580640 28812896 36016120 72032240 144064480